Computational algorithm for solving drug pharmacokinetic model under uncertainty with nonsingular kernel type Caputo-Fabrizio fractional derivative
This paper proposes an advanced numerical-analytical approach for handling a class of fuzzy fractional differential equations involving Caputo-Fabrizio derivative with a non-singular kernel arsing in the medical sector. The solution methodology relies on the reproducing-kernel algorithm to generate...
Uloženo v:
| Vydáno v: | Alexandria engineering journal Ročník 60; číslo 5; s. 4347 - 4362 |
|---|---|
| Hlavní autoři: | , , , |
| Médium: | Journal Article |
| Jazyk: | angličtina |
| Vydáno: |
Elsevier B.V
01.10.2021
Elsevier |
| Témata: | |
| ISSN: | 1110-0168 |
| On-line přístup: | Získat plný text |
| Tagy: |
Přidat tag
Žádné tagy, Buďte první, kdo vytvoří štítek k tomuto záznamu!
|
| Abstract | This paper proposes an advanced numerical-analytical approach for handling a class of fuzzy fractional differential equations involving Caputo-Fabrizio derivative with a non-singular kernel arsing in the medical sector. The solution methodology relies on the reproducing-kernel algorithm to generate analytical solutions in the form of a uniformly convergent series in the direct sum of the desired Hilbert spaces. The effectiveness of the method is analyzed by studying some theoretical, analytical, and stability results of the derived solutions based on the reproducing kernel theory. Numerical simulations are also provided in tables and graphs to demonstrate the reliability of this algorithm in solving fuzzy models using the new Caputo-Fabrizio fractional operator, especially for the drug pharmacokinetic model. The obtained results show the ability of the applied algorithm to solve a wide range of nonlinear fractional models emerging in pharmacology, medicine, and biochemistry. |
|---|---|
| AbstractList | This paper proposes an advanced numerical-analytical approach for handling a class of fuzzy fractional differential equations involving Caputo-Fabrizio derivative with a non-singular kernel arsing in the medical sector. The solution methodology relies on the reproducing-kernel algorithm to generate analytical solutions in the form of a uniformly convergent series in the direct sum of the desired Hilbert spaces. The effectiveness of the method is analyzed by studying some theoretical, analytical, and stability results of the derived solutions based on the reproducing kernel theory. Numerical simulations are also provided in tables and graphs to demonstrate the reliability of this algorithm in solving fuzzy models using the new Caputo-Fabrizio fractional operator, especially for the drug pharmacokinetic model. The obtained results show the ability of the applied algorithm to solve a wide range of nonlinear fractional models emerging in pharmacology, medicine, and biochemistry. |
| Author | Hasan, Shatha Momani, Shaher Harrouche, Nesrine Al-Smadi, Mohammed |
| Author_xml | – sequence: 1 givenname: Nesrine surname: Harrouche fullname: Harrouche, Nesrine organization: Department of Mathematics, Faculty of Science, The University of Jordan, Amman 11942, Jordan – sequence: 2 givenname: Shaher surname: Momani fullname: Momani, Shaher organization: Department of Mathematics, Faculty of Science, The University of Jordan, Amman 11942, Jordan – sequence: 3 givenname: Shatha surname: Hasan fullname: Hasan, Shatha organization: Department of Applied Science, Ajloun College, Al-Balqa Applied University, Ajloun 26816, Jordan – sequence: 4 givenname: Mohammed surname: Al-Smadi fullname: Al-Smadi, Mohammed email: mhm.smadi@bau.edu.jo organization: Nonlinear Dynamics Research Center (NDRC), Ajman University, Ajman, United Arab Emirates |
| BookMark | eNp9kcFu3CAQhjmkUtMkD9AbL2AXDLbX6qlaNW2kSL2kZzTGwwbHNqsxu9X2NfrCnWSjHnoIBxj94vtn4P8gLpa0oBAftSq10s2nsQQcy0pVulSmZOVCXGqtVcHl5r24WddR8arbznbNpfizTfP-kCHHtMAkYdolivlxliGRXNN0jMtODnTYyf0j0Aw-PcUFc_RyTgNO8rAMSLx7pAxxySf5i3HJQ61MHiYg-YS08M182qPcAjdLxS30FH_HJAOBf23NPvHIcxzxWrwLMK1483peiZ-3Xx-234v7H9_utl_uC29Vk4uha0Org-1sa8xgtO1bG3yDocPKG9vUurJN09ZgTItQB6M2rYe-V1hrZYI1V-Lu7DskGN2e4gx0cgmiexES7RwQP3VC50NjQ115Cx7sJiD44DfW952tG6zswF767OUprSth-OenlXsOxo2Og3HPwThlHCvMtP8xPp6TyARxepP8fCaRv-cYkdzqI3IIQyT0meePb9B_AbdesTU |
| CitedBy_id | crossref_primary_10_1007_s12043_024_02764_9 crossref_primary_10_1080_17455030_2022_2063983 crossref_primary_10_1007_s11071_024_10544_8 crossref_primary_10_1063_5_0167878 crossref_primary_10_1016_j_chaos_2023_113336 crossref_primary_10_1016_j_csite_2025_106890 crossref_primary_10_1007_s00419_022_02188_0 crossref_primary_10_1080_17455030_2022_2122628 crossref_primary_10_1016_j_jics_2022_100568 crossref_primary_10_3390_sym14040804 crossref_primary_10_1016_j_egyr_2025_05_056 crossref_primary_10_32604_cmes_2022_017010 crossref_primary_10_3390_math11092181 crossref_primary_10_1016_j_knosys_2022_108675 crossref_primary_10_1016_j_apnum_2021_08_005 crossref_primary_10_1155_2022_3722011 crossref_primary_10_1155_2023_2726735 crossref_primary_10_1186_s13662_021_03628_x crossref_primary_10_1016_j_cplett_2021_139277 crossref_primary_10_1088_1402_4896_ac8958 |
| Cites_doi | 10.1016/S0165-0114(02)00522-5 10.1186/s13662-020-03044-7 10.1186/s13661-020-01361-0 10.1186/s13661-018-1008-9 10.1016/0165-0114(87)90030-3 10.1016/0165-0114(87)90029-7 10.1002/asjc.2282 10.1186/s13662-020-02937-x 10.1016/j.na.2009.11.029 10.1016/j.chaos.2020.109919 10.1016/j.chaos.2020.109624 10.1090/S0002-9947-1950-0051437-7 10.1155/2013/832074 10.1016/j.fss.2004.08.001 10.2298/FIL1902583A 10.1155/2014/276279 10.1002/mma.5186 10.1142/S0219876217500293 10.1016/j.chaos.2020.110506 10.1088/1402-4896/abb420 10.1186/s13662-019-1996-5 10.1186/s13661-017-0867-9 10.1016/j.asej.2017.04.006 10.1016/j.chaos.2020.109705 10.1186/s13662-020-02938-w 10.1155/2013/304739 10.1016/j.ijleo.2016.10.044 10.1016/0165-0114(86)90026-6 10.1088/1572-9494/ab8a29 10.1016/j.apnum.2020.01.008 10.1177/1077546317741769 10.1016/j.aej.2020.09.041 10.1088/1402-4896/ab96e0 10.1186/s13661-018-1010-2 10.1016/j.chaos.2021.110668 10.1006/jmaa.1998.6139 |
| ContentType | Journal Article |
| Copyright | 2021 THE AUTHORS |
| Copyright_xml | – notice: 2021 THE AUTHORS |
| DBID | 6I. AAFTH AAYXX CITATION DOA |
| DOI | 10.1016/j.aej.2021.03.016 |
| DatabaseName | ScienceDirect Open Access Titles Elsevier:ScienceDirect:Open Access CrossRef DOAJ Directory of Open Access Journals |
| DatabaseTitle | CrossRef |
| DatabaseTitleList | |
| Database_xml | – sequence: 1 dbid: DOA name: DOAJ Directory of Open Access Journals url: https://www.doaj.org/ sourceTypes: Open Website |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Engineering |
| EndPage | 4362 |
| ExternalDocumentID | oai_doaj_org_article_cf64f52c4aca48feacfc84cb9456e24d 10_1016_j_aej_2021_03_016 S1110016821001708 |
| GroupedDBID | --K 0R~ 0SF 4.4 457 5VS 6I. AACTN AAEDT AAEDW AAFTH AAIKJ AALRI AAXUO ABMAC ACGFS ADBBV ADEZE AEXQZ AFTJW AGHFR AITUG ALMA_UNASSIGNED_HOLDINGS AMRAJ BCNDV EBS EJD FDB GROUPED_DOAJ HZ~ IPNFZ IXB KQ8 M41 NCXOZ O-L O9- OK1 P2P RIG ROL SES SSZ XH2 AAYWO AAYXX ACVFH ADCNI ADVLN AEUPX AFJKZ AFPUW AIGII AKBMS AKRWK AKYEP CITATION |
| ID | FETCH-LOGICAL-c406t-d97f71f494733d314b74fc6ef9e2c34651246675a337ea5f3087cabb0e5103f43 |
| IEDL.DBID | DOA |
| ISICitedReferencesCount | 36 |
| ISICitedReferencesURI | http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000656697600013&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D |
| ISSN | 1110-0168 |
| IngestDate | Fri Oct 03 12:51:38 EDT 2025 Wed Oct 29 21:22:55 EDT 2025 Tue Nov 18 21:00:24 EST 2025 Wed May 17 01:04:01 EDT 2023 |
| IsDoiOpenAccess | true |
| IsOpenAccess | true |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 5 |
| Keywords | Mathematical modeling of medicine Stability analysis Pharmacokinetics model Reproducing kernel algorithm Fuzzy differential equations Caputo-Fabrizio fractional derivative |
| Language | English |
| License | This is an open access article under the CC BY-NC-ND license. |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-c406t-d97f71f494733d314b74fc6ef9e2c34651246675a337ea5f3087cabb0e5103f43 |
| OpenAccessLink | https://doaj.org/article/cf64f52c4aca48feacfc84cb9456e24d |
| PageCount | 16 |
| ParticipantIDs | doaj_primary_oai_doaj_org_article_cf64f52c4aca48feacfc84cb9456e24d crossref_primary_10_1016_j_aej_2021_03_016 crossref_citationtrail_10_1016_j_aej_2021_03_016 elsevier_sciencedirect_doi_10_1016_j_aej_2021_03_016 |
| PublicationCentury | 2000 |
| PublicationDate | October 2021 2021-10-00 2021-10-01 |
| PublicationDateYYYYMMDD | 2021-10-01 |
| PublicationDate_xml | – month: 10 year: 2021 text: October 2021 |
| PublicationDecade | 2020 |
| PublicationTitle | Alexandria engineering journal |
| PublicationYear | 2021 |
| Publisher | Elsevier B.V Elsevier |
| Publisher_xml | – name: Elsevier B.V – name: Elsevier |
| References | Gumah, Naser, Al-Smadi, Al-Omari, Baleanu (b0035) 2020; 151 Hasan, Al-Smadi, El-Ajou, Momani, Hadid, Al-Zhour (b0040) 2021; 143 Barro, Marin (b0010) 2002 Al-Smadi (b0045) 2019; 33 Aydogan, Baleanu, Mousalou, Rezapour (b0125) 2018; 2018 Baleanu, Etemad, Rezapour (b0140) 2020; 2020 Bede, Gal (b0030) 2005; 151 Baleanu, Etemad, Rezapour (b0120) 2020; 2020 Caputo, Fabrizio (b0095) 2015; 1 Al-Smadi, Abu Arqub (b0215) 2019; 342 Al-Smadi, Abu Arqub, Momani (b0145) 2020; 95 Hukuhara (b0020) 1967; 10 Kaleva (b0185) 1987; 24 Barnes, Fulford (b0240) 2011 Al-Smadi, Abu Arqub, Hadid (b0060) 2020; 72 Al-Smadi, Abu Arqub, Hadid (b0065) 2020; 95 Agarwal, Lakshmikantham, Nieto (b0055) 2010; 72 Goetschel, Voxman (b0190) 1986; 18 Momani, Abu Arqub, Freihat, Al-Smadi (b0165) 2016; 15 Sajjadi, Baleanu, Jajarmi, Pirouz (b0080) 2020; 138 Baleanu, Ghanbari, Asad, Jajarmi, Pirouz (b0130) 2020; 124 Hanss (b0005) 2005 Baleanu, Mousalou, Rezapour (b0105) 2017; 2017 Hasan, Al-Smadi, Freihet, Momani (b0170) 2019; 2019 Bira, Sekhar, Zeidan (b0150) 2018; 41 Al-Smadi, Abu Arqub, Shawagfeh, Momani (b0230) 2016; 291 Mohammadi, Moradi, Baleanu, Jajarmi (b0075) 2018; 24 Al-Smadi, Abu Arqub, Momani (b0225) 2013; 2013 Djeddi, Hasan, Al-Smadi, Momani (b0220) 2020; 59 Al-Smadi (b0180) 2018; 9 Jajarmi, Baleanu (b0070) 2021; 23 Baleanu, Jajarmi, Mohammadi, Rezapour (b0110) 2020; 134 Rezapour, Etemad, Mohammadi (b0100) 2020; 2020 Abdollahi, Khastan, Nieto, Rodríguez-López (b0205) 2018; 2018 Gumah, Moaddy, Al-Smadi, Hashim (b0050) 2016; 2016 Armand, Allahviranloo, Abbasbandy, Gouyandeh (b0195) 2017; 32 Seikkala (b0025) 1987; 24 Aronszajn (b0210) 1950 Rezapour, Mohammadi, Jajarmi (b0085) 2020; 2020 Momani, Freihat, Al-Smadi (b0160) 2014; 2014 Kilbas, Saigo (b0200) 1999; 229 Salahshour, Ahmadian, Ismail, Baleanu (b0135) 2017; 130 Al-Smadi, Freihat, Khalil, Momani, Khan (b0155) 2017; 14 Al-Smadi, Abu Arqub, Gaith (b0175) 2020 Ahmadian, Senu, Larki, Salahshour, Suleiman, Islam (b0245) 2013; 2013 Al-Smadi, Freihat, Abu Arqub, Shawagfeh (b0090) 2015; 19 Guo, Xue, Li (b0015) 2003; 138 Mohammadi, Kumar, Rezapour, Etemad (b0115) 2021; 144 Hasan, El-Ajou, Hadid, Al-Smadi, Momani (b0235) 2020; 133 Momani (10.1016/j.aej.2021.03.016_b0165) 2016; 15 Hukuhara (10.1016/j.aej.2021.03.016_b0020) 1967; 10 Al-Smadi (10.1016/j.aej.2021.03.016_b0045) 2019; 33 Hasan (10.1016/j.aej.2021.03.016_b0040) 2021; 143 Rezapour (10.1016/j.aej.2021.03.016_b0085) 2020; 2020 Abdollahi (10.1016/j.aej.2021.03.016_b0205) 2018; 2018 Al-Smadi (10.1016/j.aej.2021.03.016_b0065) 2020; 95 Hanss (10.1016/j.aej.2021.03.016_b0005) 2005 Al-Smadi (10.1016/j.aej.2021.03.016_b0225) 2013; 2013 Jajarmi (10.1016/j.aej.2021.03.016_b0070) 2021; 23 Guo (10.1016/j.aej.2021.03.016_b0015) 2003; 138 Baleanu (10.1016/j.aej.2021.03.016_b0120) 2020; 2020 Seikkala (10.1016/j.aej.2021.03.016_b0025) 1987; 24 Barro (10.1016/j.aej.2021.03.016_b0010) 2002 Agarwal (10.1016/j.aej.2021.03.016_b0055) 2010; 72 Rezapour (10.1016/j.aej.2021.03.016_b0100) 2020; 2020 Baleanu (10.1016/j.aej.2021.03.016_b0110) 2020; 134 Sajjadi (10.1016/j.aej.2021.03.016_b0080) 2020; 138 Al-Smadi (10.1016/j.aej.2021.03.016_b0090) 2015; 19 Gumah (10.1016/j.aej.2021.03.016_b0035) 2020; 151 Salahshour (10.1016/j.aej.2021.03.016_b0135) 2017; 130 Al-Smadi (10.1016/j.aej.2021.03.016_b0155) 2017; 14 Al-Smadi (10.1016/j.aej.2021.03.016_b0060) 2020; 72 Mohammadi (10.1016/j.aej.2021.03.016_b0075) 2018; 24 Al-Smadi (10.1016/j.aej.2021.03.016_b0215) 2019; 342 Barnes (10.1016/j.aej.2021.03.016_b0240) 2011 Aronszajn (10.1016/j.aej.2021.03.016_b0210) 1950 Al-Smadi (10.1016/j.aej.2021.03.016_b0180) 2018; 9 Baleanu (10.1016/j.aej.2021.03.016_b0130) 2020; 124 Goetschel (10.1016/j.aej.2021.03.016_b0190) 1986; 18 Gumah (10.1016/j.aej.2021.03.016_b0050) 2016; 2016 Caputo (10.1016/j.aej.2021.03.016_b0095) 2015; 1 Al-Smadi (10.1016/j.aej.2021.03.016_b0230) 2016; 291 Hasan (10.1016/j.aej.2021.03.016_b0170) 2019; 2019 Kaleva (10.1016/j.aej.2021.03.016_b0185) 1987; 24 Bede (10.1016/j.aej.2021.03.016_b0030) 2005; 151 Ahmadian (10.1016/j.aej.2021.03.016_b0245) 2013; 2013 Mohammadi (10.1016/j.aej.2021.03.016_b0115) 2021; 144 Momani (10.1016/j.aej.2021.03.016_b0160) 2014; 2014 Bira (10.1016/j.aej.2021.03.016_b0150) 2018; 41 Hasan (10.1016/j.aej.2021.03.016_b0235) 2020; 133 Al-Smadi (10.1016/j.aej.2021.03.016_b0145) 2020; 95 Baleanu (10.1016/j.aej.2021.03.016_b0105) 2017; 2017 Djeddi (10.1016/j.aej.2021.03.016_b0220) 2020; 59 Aydogan (10.1016/j.aej.2021.03.016_b0125) 2018; 2018 Kilbas (10.1016/j.aej.2021.03.016_b0200) 1999; 229 Baleanu (10.1016/j.aej.2021.03.016_b0140) 2020; 2020 Al-Smadi (10.1016/j.aej.2021.03.016_b0175) 2020 Armand (10.1016/j.aej.2021.03.016_b0195) 2017; 32 |
| References_xml | – volume: 124 start-page: 953 year: 2020 end-page: 968 ident: b0130 article-title: Planar system-masses in an equilateral triangle: numerical study within fractional calculus publication-title: CMES-Comput. Model. Eng. Sci. – volume: 229 start-page: 41 year: 1999 end-page: 60 ident: b0200 article-title: On solution of nonlinear Abel-Volterra integral equation publication-title: J. Math. Anal. Appl. – volume: 72 start-page: 2859 year: 2010 end-page: 2862 ident: b0055 article-title: On the concept of solution for fractional differential equations with uncertainty publication-title: Nonlinear Anal.: Theory Meth. Appl. – volume: 134 start-page: 109705 year: 2020 ident: b0110 article-title: A new study on the mathematical modelling of human liver with Caputo-Fabrizio fractional derivative publication-title: Chaos Solit. Fract. – volume: 151 start-page: 581 year: 2005 end-page: 599 ident: b0030 article-title: Generalizations of the differentiability of fuzzy-number-valued functions with applications to fuzzy differential equations publication-title: Fuzzy Sets Syst. – volume: 15 start-page: 319 year: 2016 end-page: 330 ident: b0165 article-title: Analytical approximations for Fokker-Planck equations of fractional order in multistep schemes publication-title: Appl. Comput. Math. – volume: 14 start-page: 1750029 year: 2017 ident: b0155 article-title: Numerical multistep approach for solving fractional partial differential equations publication-title: Int. J. Comput. Methods – volume: 24 start-page: 319 year: 1987 end-page: 330 ident: b0025 article-title: On the fuzzy initial value problem publication-title: Fuzzy Sets Syst. – volume: 2016 start-page: 2920463 year: 2016 ident: b0050 article-title: Solutions to uncertain Volterra integral equations by fitted reproducing kernel Hilbert space method publication-title: J. Funct. Spaces – volume: 72 start-page: 085001 year: 2020 ident: b0060 article-title: An attractive analytical technique for coupled system of fractional partial differential equations in shallow water waves with conformable derivative publication-title: Commun. Theor. Phys. – year: 1950 ident: b0210 article-title: Theory of reproducing kernels publication-title: Trans. Am. Math. Soc. – year: 2011 ident: b0240 article-title: Mathematical Modelling with Case Studies: A Differential Equation Approach Using Maple and MATLAB – volume: 138 start-page: 601 year: 2003 end-page: 615 ident: b0015 article-title: Impulsive functional differential inclusions and fuzzy population models publication-title: Fuzzy Sets Syst. – volume: 2018 start-page: 90 year: 2018 ident: b0125 article-title: On high order fractional integro-differential equations including the Caputo-Fabrizio derivative publication-title: Bound. Value Probl. – volume: 2020 start-page: 481 year: 2020 ident: b0100 article-title: A mathematical analysis of a system of Caputo-Fabrizio fractional differential equations for the anthrax disease model in animals publication-title: Adv. Differ. Equ. – volume: 24 start-page: 301 year: 1987 end-page: 317 ident: b0185 article-title: Fuzzy differential equations publication-title: Fuzzy Sets Syst. – year: 2020 ident: b0175 article-title: Numerical simulation of telegraph and Cattaneo fractional-type models using adaptive reproducing kernel framework publication-title: Math. Meth. Appl. Sci. – volume: 133 start-page: 109624 year: 2020 ident: b0235 article-title: Atangana-Baleanu fractional framework of reproducing kernel technique in solving fractional population dynamics system publication-title: Chaos Solit. Fract. – volume: 23 start-page: 1062 year: 2021 end-page: 1071 ident: b0070 article-title: On the fractional optimal control problems with a general derivative operator publication-title: Asian J. Control – volume: 2019 start-page: 55 year: 2019 ident: b0170 article-title: Two computational approaches for solving a fractional obstacle system in Hilbert space publication-title: Adv. Differ. Equ. – volume: 130 start-page: 273 year: 2017 end-page: 286 ident: b0135 article-title: A fractional derivative with non-singular kernel for interval-valued functions under uncertainty publication-title: Optik – volume: 2018 start-page: 91 year: 2018 ident: b0205 article-title: On the linear fuzzy model associated with Caputo-Fabrizio operator publication-title: Bound. Value Probl. – volume: 143 start-page: 110506 year: 2021 ident: b0040 article-title: Numerical approach in the Hilbert space to solve a fuzzy Atangana-Baleanu fractional hybrid system publication-title: Chaos Solit. Fract. – volume: 2013 start-page: 1 year: 2013 end-page: 10 ident: b0225 article-title: A computational method for two-point boundary value problems of fourth-order mixed integrodifferential equations publication-title: Math. Probl. Eng. – volume: 144 start-page: 110668 year: 2021 ident: b0115 article-title: A theoretical study of the Caputo-Fabrizio fractional modeling for hearing loss due to Mumps virus with optimal control publication-title: Chaos Solit. Fract. – volume: 2020 start-page: 473 year: 2020 ident: b0140 article-title: On a Caputo conformable inclusion problem with mixed Riemann-Liouville conformable integro-derivative conditions publication-title: Adv. Differ. Equ. – volume: 59 start-page: 5111 year: 2020 end-page: 5122 ident: b0220 article-title: Modified analytical approach for generalized quadratic and cubic logistic models with Caputo-Fabrizio fractional derivative publication-title: Alexandria Eng. J. – volume: 18 start-page: 31 year: 1986 end-page: 43 ident: b0190 article-title: Elementary fuzzy calculus publication-title: Fuzzy Sets Syst. – volume: 138 start-page: 109919 year: 2020 ident: b0080 article-title: A new adaptive synchronization and hyperchaos control of a biological snap oscillator publication-title: Chaos Solit. Fract. – volume: 24 start-page: 5030 year: 2018 end-page: 5043 ident: b0075 article-title: A hybrid functions numerical scheme for fractional optimal control problems: application to non-analytic dynamical systems publication-title: J. Vib. Control – volume: 10 start-page: 205 year: 1967 end-page: 223 ident: b0020 article-title: Integration des Applications Mesurables dont la Valuer Set un Compact Convex publication-title: Funkcial. Ekvac. – volume: 2014 start-page: 276279 year: 2014 ident: b0160 article-title: Analytical study of fractional-order multiple chaotic Fitzhugh-Nagumo neurons model using multistep generalized differential transform method publication-title: Abstract Appl. Anal. – volume: 342 start-page: 280 year: 2019 end-page: 294 ident: b0215 article-title: Computational algorithm for solving fredholm time-fractional partial integrodifferential equations of dirichlet functions type with error estimates publication-title: Appl. Math. Comput. – volume: 291 start-page: 137 year: 2016 end-page: 148 ident: b0230 article-title: Numerical investigations for systems of second-order periodic boundary value problems using reproducing kernel method publication-title: Appl. Math. Comput. – volume: 1 start-page: 73 year: 2015 end-page: 85 ident: b0095 article-title: A new definition of fractional derivative without singular kernel publication-title: Progr. Fract. Differ. Appl. – volume: 2020 start-page: 589 year: 2020 ident: b0085 article-title: A new mathematical model for Zika virus transmission publication-title: Adv. Differ. Eqs. – volume: 2017 start-page: 145 year: 2017 ident: b0105 article-title: On the existence of solutions for some infinite coefficient-symmetric Caputo-Fabrizio fractional integro-differential equations publication-title: Bound. Value Probl. – volume: 151 start-page: 402 year: 2020 end-page: 412 ident: b0035 article-title: Numerical solutions of hybrid fuzzy differential equations in a hilbert space publication-title: Appl. Numer. Math. – volume: 19 start-page: 713 year: 2015 end-page: 724 ident: b0090 article-title: A novel multistep generalized differential transform method for solving fractional-order Lu Chaotic and hyperchaotic systems publication-title: J. Comput. Anal. Appl. – volume: 32 start-page: 363 year: 2017 end-page: 371 ident: b0195 article-title: Fractional relaxation-oscillation differential equations via fuzzy variational iteration method publication-title: J. Intell. Fuzzy Syst. – volume: 2020 start-page: 64 year: 2020 ident: b0120 article-title: A hybrid Caputo fractional modeling for thermostat with hybrid boundary value conditions publication-title: Bound. Value Probl. – volume: 2013 start-page: 304739 year: 2013 ident: b0245 article-title: Numerical solution of fuzzy fractional pharmacokinetics model arising from drug assimilation into the bloodstream publication-title: Abstract Appl. Anal. – volume: 41 start-page: 6717 year: 2018 end-page: 6725 ident: b0150 article-title: Exact solutions for some time-fractional evolution equations using Lie group theory publication-title: Math. Meth. Appl. Sci. – volume: 95 start-page: 075218 year: 2020 ident: b0145 article-title: Numerical computations of coupled fractional resonant Schrödinger equations arising in quantum mechanics under conformable fractional derivative sense publication-title: Phys. Scr. – volume: 95 start-page: 105205 year: 2020 ident: b0065 article-title: Approximate solutions of nonlinear fractional Kundu-Eckhaus and coupled fractional massive Thirring equations emerging in quantum field theory using conformable residual power series method publication-title: Phys. Scr. – year: 2002 ident: b0010 article-title: Fuzzy Logic in Medicine – volume: 9 start-page: 2517 year: 2018 end-page: 2525 ident: b0180 article-title: Simplified iterative reproducing kernel method for handling time-fractional BVPs with error estimation publication-title: Ain Shams Eng. J. – volume: 33 start-page: 583 year: 2019 end-page: 597 ident: b0045 article-title: Reliable numerical algorithm for handling fuzzy integral equations of second kind in hilbert spaces publication-title: Filomat – year: 2005 ident: b0005 article-title: Applied Fuzzy Arithmetic: An Introduction with Engineering Applications – volume: 138 start-page: 601 year: 2003 ident: 10.1016/j.aej.2021.03.016_b0015 article-title: Impulsive functional differential inclusions and fuzzy population models publication-title: Fuzzy Sets Syst. doi: 10.1016/S0165-0114(02)00522-5 – volume: 2020 start-page: 589 year: 2020 ident: 10.1016/j.aej.2021.03.016_b0085 article-title: A new mathematical model for Zika virus transmission publication-title: Adv. Differ. Eqs. doi: 10.1186/s13662-020-03044-7 – volume: 2020 start-page: 64 year: 2020 ident: 10.1016/j.aej.2021.03.016_b0120 article-title: A hybrid Caputo fractional modeling for thermostat with hybrid boundary value conditions publication-title: Bound. Value Probl. doi: 10.1186/s13661-020-01361-0 – volume: 2018 start-page: 90 year: 2018 ident: 10.1016/j.aej.2021.03.016_b0125 article-title: On high order fractional integro-differential equations including the Caputo-Fabrizio derivative publication-title: Bound. Value Probl. doi: 10.1186/s13661-018-1008-9 – volume: 24 start-page: 319 year: 1987 ident: 10.1016/j.aej.2021.03.016_b0025 article-title: On the fuzzy initial value problem publication-title: Fuzzy Sets Syst. doi: 10.1016/0165-0114(87)90030-3 – volume: 19 start-page: 713 issue: 4 year: 2015 ident: 10.1016/j.aej.2021.03.016_b0090 article-title: A novel multistep generalized differential transform method for solving fractional-order Lu Chaotic and hyperchaotic systems publication-title: J. Comput. Anal. Appl. – volume: 342 start-page: 280 year: 2019 ident: 10.1016/j.aej.2021.03.016_b0215 article-title: Computational algorithm for solving fredholm time-fractional partial integrodifferential equations of dirichlet functions type with error estimates publication-title: Appl. Math. Comput. – volume: 24 start-page: 301 year: 1987 ident: 10.1016/j.aej.2021.03.016_b0185 article-title: Fuzzy differential equations publication-title: Fuzzy Sets Syst. doi: 10.1016/0165-0114(87)90029-7 – volume: 124 start-page: 953 issue: 3 year: 2020 ident: 10.1016/j.aej.2021.03.016_b0130 article-title: Planar system-masses in an equilateral triangle: numerical study within fractional calculus publication-title: CMES-Comput. Model. Eng. Sci. – volume: 23 start-page: 1062 issue: 2 year: 2021 ident: 10.1016/j.aej.2021.03.016_b0070 article-title: On the fractional optimal control problems with a general derivative operator publication-title: Asian J. Control doi: 10.1002/asjc.2282 – volume: 15 start-page: 319 issue: 3 year: 2016 ident: 10.1016/j.aej.2021.03.016_b0165 article-title: Analytical approximations for Fokker-Planck equations of fractional order in multistep schemes publication-title: Appl. Comput. Math. – year: 2011 ident: 10.1016/j.aej.2021.03.016_b0240 – volume: 2020 start-page: 481 year: 2020 ident: 10.1016/j.aej.2021.03.016_b0100 article-title: A mathematical analysis of a system of Caputo-Fabrizio fractional differential equations for the anthrax disease model in animals publication-title: Adv. Differ. Equ. doi: 10.1186/s13662-020-02937-x – volume: 10 start-page: 205 year: 1967 ident: 10.1016/j.aej.2021.03.016_b0020 article-title: Integration des Applications Mesurables dont la Valuer Set un Compact Convex publication-title: Funkcial. Ekvac. – volume: 291 start-page: 137 year: 2016 ident: 10.1016/j.aej.2021.03.016_b0230 article-title: Numerical investigations for systems of second-order periodic boundary value problems using reproducing kernel method publication-title: Appl. Math. Comput. – volume: 72 start-page: 2859 issue: 6 year: 2010 ident: 10.1016/j.aej.2021.03.016_b0055 article-title: On the concept of solution for fractional differential equations with uncertainty publication-title: Nonlinear Anal.: Theory Meth. Appl. doi: 10.1016/j.na.2009.11.029 – volume: 138 start-page: 109919 year: 2020 ident: 10.1016/j.aej.2021.03.016_b0080 article-title: A new adaptive synchronization and hyperchaos control of a biological snap oscillator publication-title: Chaos Solit. Fract. doi: 10.1016/j.chaos.2020.109919 – volume: 1 start-page: 73 issue: 2 year: 2015 ident: 10.1016/j.aej.2021.03.016_b0095 article-title: A new definition of fractional derivative without singular kernel publication-title: Progr. Fract. Differ. Appl. – volume: 133 start-page: 109624 year: 2020 ident: 10.1016/j.aej.2021.03.016_b0235 article-title: Atangana-Baleanu fractional framework of reproducing kernel technique in solving fractional population dynamics system publication-title: Chaos Solit. Fract. doi: 10.1016/j.chaos.2020.109624 – year: 1950 ident: 10.1016/j.aej.2021.03.016_b0210 article-title: Theory of reproducing kernels publication-title: Trans. Am. Math. Soc. doi: 10.1090/S0002-9947-1950-0051437-7 – volume: 2013 start-page: 1 issue: 83207 year: 2013 ident: 10.1016/j.aej.2021.03.016_b0225 article-title: A computational method for two-point boundary value problems of fourth-order mixed integrodifferential equations publication-title: Math. Probl. Eng. doi: 10.1155/2013/832074 – volume: 151 start-page: 581 year: 2005 ident: 10.1016/j.aej.2021.03.016_b0030 article-title: Generalizations of the differentiability of fuzzy-number-valued functions with applications to fuzzy differential equations publication-title: Fuzzy Sets Syst. doi: 10.1016/j.fss.2004.08.001 – volume: 33 start-page: 583 issue: 2 year: 2019 ident: 10.1016/j.aej.2021.03.016_b0045 article-title: Reliable numerical algorithm for handling fuzzy integral equations of second kind in hilbert spaces publication-title: Filomat doi: 10.2298/FIL1902583A – volume: 2016 start-page: 2920463 year: 2016 ident: 10.1016/j.aej.2021.03.016_b0050 article-title: Solutions to uncertain Volterra integral equations by fitted reproducing kernel Hilbert space method publication-title: J. Funct. Spaces – volume: 2014 start-page: 276279 year: 2014 ident: 10.1016/j.aej.2021.03.016_b0160 article-title: Analytical study of fractional-order multiple chaotic Fitzhugh-Nagumo neurons model using multistep generalized differential transform method publication-title: Abstract Appl. Anal. doi: 10.1155/2014/276279 – volume: 41 start-page: 6717 issue: 16 year: 2018 ident: 10.1016/j.aej.2021.03.016_b0150 article-title: Exact solutions for some time-fractional evolution equations using Lie group theory publication-title: Math. Meth. Appl. Sci. doi: 10.1002/mma.5186 – volume: 14 start-page: 1750029 issue: 3 year: 2017 ident: 10.1016/j.aej.2021.03.016_b0155 article-title: Numerical multistep approach for solving fractional partial differential equations publication-title: Int. J. Comput. Methods doi: 10.1142/S0219876217500293 – volume: 143 start-page: 110506 year: 2021 ident: 10.1016/j.aej.2021.03.016_b0040 article-title: Numerical approach in the Hilbert space to solve a fuzzy Atangana-Baleanu fractional hybrid system publication-title: Chaos Solit. Fract. doi: 10.1016/j.chaos.2020.110506 – volume: 95 start-page: 105205 issue: 10 year: 2020 ident: 10.1016/j.aej.2021.03.016_b0065 article-title: Approximate solutions of nonlinear fractional Kundu-Eckhaus and coupled fractional massive Thirring equations emerging in quantum field theory using conformable residual power series method publication-title: Phys. Scr. doi: 10.1088/1402-4896/abb420 – volume: 2019 start-page: 55 year: 2019 ident: 10.1016/j.aej.2021.03.016_b0170 article-title: Two computational approaches for solving a fractional obstacle system in Hilbert space publication-title: Adv. Differ. Equ. doi: 10.1186/s13662-019-1996-5 – volume: 2017 start-page: 145 year: 2017 ident: 10.1016/j.aej.2021.03.016_b0105 article-title: On the existence of solutions for some infinite coefficient-symmetric Caputo-Fabrizio fractional integro-differential equations publication-title: Bound. Value Probl. doi: 10.1186/s13661-017-0867-9 – volume: 9 start-page: 2517 issue: 4 year: 2018 ident: 10.1016/j.aej.2021.03.016_b0180 article-title: Simplified iterative reproducing kernel method for handling time-fractional BVPs with error estimation publication-title: Ain Shams Eng. J. doi: 10.1016/j.asej.2017.04.006 – year: 2002 ident: 10.1016/j.aej.2021.03.016_b0010 – year: 2005 ident: 10.1016/j.aej.2021.03.016_b0005 – volume: 134 start-page: 109705 year: 2020 ident: 10.1016/j.aej.2021.03.016_b0110 article-title: A new study on the mathematical modelling of human liver with Caputo-Fabrizio fractional derivative publication-title: Chaos Solit. Fract. doi: 10.1016/j.chaos.2020.109705 – volume: 2020 start-page: 473 year: 2020 ident: 10.1016/j.aej.2021.03.016_b0140 article-title: On a Caputo conformable inclusion problem with mixed Riemann-Liouville conformable integro-derivative conditions publication-title: Adv. Differ. Equ. doi: 10.1186/s13662-020-02938-w – volume: 2013 start-page: 304739 year: 2013 ident: 10.1016/j.aej.2021.03.016_b0245 article-title: Numerical solution of fuzzy fractional pharmacokinetics model arising from drug assimilation into the bloodstream publication-title: Abstract Appl. Anal. doi: 10.1155/2013/304739 – volume: 130 start-page: 273 year: 2017 ident: 10.1016/j.aej.2021.03.016_b0135 article-title: A fractional derivative with non-singular kernel for interval-valued functions under uncertainty publication-title: Optik doi: 10.1016/j.ijleo.2016.10.044 – volume: 18 start-page: 31 year: 1986 ident: 10.1016/j.aej.2021.03.016_b0190 article-title: Elementary fuzzy calculus publication-title: Fuzzy Sets Syst. doi: 10.1016/0165-0114(86)90026-6 – volume: 72 start-page: 085001 issue: 8 year: 2020 ident: 10.1016/j.aej.2021.03.016_b0060 article-title: An attractive analytical technique for coupled system of fractional partial differential equations in shallow water waves with conformable derivative publication-title: Commun. Theor. Phys. doi: 10.1088/1572-9494/ab8a29 – volume: 151 start-page: 402 year: 2020 ident: 10.1016/j.aej.2021.03.016_b0035 article-title: Numerical solutions of hybrid fuzzy differential equations in a hilbert space publication-title: Appl. Numer. Math. doi: 10.1016/j.apnum.2020.01.008 – year: 2020 ident: 10.1016/j.aej.2021.03.016_b0175 article-title: Numerical simulation of telegraph and Cattaneo fractional-type models using adaptive reproducing kernel framework publication-title: Math. Meth. Appl. Sci. – volume: 24 start-page: 5030 issue: 21 year: 2018 ident: 10.1016/j.aej.2021.03.016_b0075 article-title: A hybrid functions numerical scheme for fractional optimal control problems: application to non-analytic dynamical systems publication-title: J. Vib. Control doi: 10.1177/1077546317741769 – volume: 32 start-page: 363 year: 2017 ident: 10.1016/j.aej.2021.03.016_b0195 article-title: Fractional relaxation-oscillation differential equations via fuzzy variational iteration method publication-title: J. Intell. Fuzzy Syst. – volume: 59 start-page: 5111 issue: 6 year: 2020 ident: 10.1016/j.aej.2021.03.016_b0220 article-title: Modified analytical approach for generalized quadratic and cubic logistic models with Caputo-Fabrizio fractional derivative publication-title: Alexandria Eng. J. doi: 10.1016/j.aej.2020.09.041 – volume: 95 start-page: 075218 issue: 7 year: 2020 ident: 10.1016/j.aej.2021.03.016_b0145 article-title: Numerical computations of coupled fractional resonant Schrödinger equations arising in quantum mechanics under conformable fractional derivative sense publication-title: Phys. Scr. doi: 10.1088/1402-4896/ab96e0 – volume: 2018 start-page: 91 year: 2018 ident: 10.1016/j.aej.2021.03.016_b0205 article-title: On the linear fuzzy model associated with Caputo-Fabrizio operator publication-title: Bound. Value Probl. doi: 10.1186/s13661-018-1010-2 – volume: 144 start-page: 110668 year: 2021 ident: 10.1016/j.aej.2021.03.016_b0115 article-title: A theoretical study of the Caputo-Fabrizio fractional modeling for hearing loss due to Mumps virus with optimal control publication-title: Chaos Solit. Fract. doi: 10.1016/j.chaos.2021.110668 – volume: 229 start-page: 41 year: 1999 ident: 10.1016/j.aej.2021.03.016_b0200 article-title: On solution of nonlinear Abel-Volterra integral equation publication-title: J. Math. Anal. Appl. doi: 10.1006/jmaa.1998.6139 |
| SSID | ssj0000579496 |
| Score | 2.3951468 |
| Snippet | This paper proposes an advanced numerical-analytical approach for handling a class of fuzzy fractional differential equations involving Caputo-Fabrizio... |
| SourceID | doaj crossref elsevier |
| SourceType | Open Website Enrichment Source Index Database Publisher |
| StartPage | 4347 |
| SubjectTerms | Caputo-Fabrizio fractional derivative Fuzzy differential equations Mathematical modeling of medicine Pharmacokinetics model Reproducing kernel algorithm Stability analysis |
| Title | Computational algorithm for solving drug pharmacokinetic model under uncertainty with nonsingular kernel type Caputo-Fabrizio fractional derivative |
| URI | https://dx.doi.org/10.1016/j.aej.2021.03.016 https://doaj.org/article/cf64f52c4aca48feacfc84cb9456e24d |
| Volume | 60 |
| WOSCitedRecordID | wos000656697600013&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| journalDatabaseRights | – providerCode: PRVAON databaseName: DOAJ Directory of Open Access Journals issn: 1110-0168 databaseCode: DOA dateStart: 20100101 customDbUrl: isFulltext: true dateEnd: 99991231 titleUrlDefault: https://www.doaj.org/ omitProxy: false ssIdentifier: ssj0000579496 providerName: Directory of Open Access Journals |
| link | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwrV07T8MwELZQxQAD4inKSx6YkCLa2I2dESoqpooBpG5W7NilD9oqtJXgb_CHubOTKguwsGSw7HPku_jOl_P3EXJtmPeaOkrS2EbctHkkjeVRrg2D-FhIxwLZhOj35WCQPtWovrAmLMADh4W7NS7hrhMbniH-toN9whnJjU7B89uY57j7tkRaO0wFVG-wM0_OBd8yVl4lsvql6Yu7MjuGs2Hc9gCnyHVec0oeu7_mm2r-prdP9spAkd6FFzwgW3Z2SHZr8IFH5CtQMpTpPJpNh3M46r--UQhEKdgU5gpoXqyGdFECVE9gMMijnv-G4v2xAp4mlAUsPyhmZekMa2ZnSFFf0IktZtATE7W0m8Fk86iX6WL0OZpTV4RLETA1yPEsaWt7TF56D8_dx6gkWYgM-PJllKfCibbjKReM5azNteDOJNalNgZ1JaBInsCpImNM2KzjEEHQZFq3LGLxOc5OSAPey54SGjOXc8mkxmSSxlyJgdBdasacFtLwJmlVq6xMiUCORBhTVZWajRUoRqFiVIspaGmSm82QRYDf-K3zPapu0xGRs30D2JMq7Un9ZU9NwivFqzIICcEFiBr9PPfZf8x9TnZQZKgVvCCNZbGyl2TbrJej9-LKW_g3NYUD1Q |
| linkProvider | Directory of Open Access Journals |
| openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Computational+algorithm+for+solving+drug+pharmacokinetic+model+under+uncertainty+with+nonsingular+kernel+type+Caputo-Fabrizio+fractional+derivative&rft.jtitle=Alexandria+engineering+journal&rft.au=Harrouche%2C+Nesrine&rft.au=Momani%2C+Shaher&rft.au=Hasan%2C+Shatha&rft.au=Al-Smadi%2C+Mohammed&rft.date=2021-10-01&rft.pub=Elsevier+B.V&rft.issn=1110-0168&rft.volume=60&rft.issue=5&rft.spage=4347&rft.epage=4362&rft_id=info:doi/10.1016%2Fj.aej.2021.03.016&rft.externalDocID=S1110016821001708 |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=1110-0168&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=1110-0168&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=1110-0168&client=summon |