Numerical solutions for distributed-order fractional optimal control problems by using generalized fractional-order Chebyshev wavelets
This paper studies a numerical approach based on generalized fractional-order Chebyshev wavelets for solving distributed-order fractional optimal control problems (DO-FOCPs). The exact value of the Riemann–Liouville fractional integral operator of the given wavelets is computed by applying regulariz...
Uložené v:
| Vydané v: | Nonlinear dynamics Ročník 108; číslo 1; s. 265 - 277 |
|---|---|
| Hlavní autori: | , |
| Médium: | Journal Article |
| Jazyk: | English |
| Vydavateľské údaje: |
Dordrecht
Springer Netherlands
01.03.2022
Springer Nature B.V |
| Predmet: | |
| ISSN: | 0924-090X, 1573-269X |
| On-line prístup: | Získať plný text |
| Tagy: |
Pridať tag
Žiadne tagy, Buďte prvý, kto otaguje tento záznam!
|
| Abstract | This paper studies a numerical approach based on generalized fractional-order Chebyshev wavelets for solving distributed-order fractional optimal control problems (DO-FOCPs). The exact value of the Riemann–Liouville fractional integral operator of the given wavelets is computed by applying regularized beta function. The exact formula and collocation method are applied to transform the DO-FOCP to a new optimization problem. This new problem can be solved by the existing methods. Four examples are given to show the advantage of this method in comparison with the existing methods in the literature. |
|---|---|
| AbstractList | This paper studies a numerical approach based on generalized fractional-order Chebyshev wavelets for solving distributed-order fractional optimal control problems (DO-FOCPs). The exact value of the Riemann–Liouville fractional integral operator of the given wavelets is computed by applying regularized beta function. The exact formula and collocation method are applied to transform the DO-FOCP to a new optimization problem. This new problem can be solved by the existing methods. Four examples are given to show the advantage of this method in comparison with the existing methods in the literature. |
| Author | Razzaghi, Mohsen Ghanbari, Ghodsieh |
| Author_xml | – sequence: 1 givenname: Ghodsieh surname: Ghanbari fullname: Ghanbari, Ghodsieh organization: Department of Mathematics and Statistics, Mississippi State University – sequence: 2 givenname: Mohsen orcidid: 0000-0002-2189-0802 surname: Razzaghi fullname: Razzaghi, Mohsen email: razzaghi@math.msstate.edu organization: Department of Mathematics and Statistics, Mississippi State University |
| BookMark | eNp9kMFOGzEQhq2KSg20L9CTJc5bxnZ2vT6iqBQkRC8gcbO89jgYbdap7QWFB-hz1yFIrXrgMJrD_N_MP_8xOZrihIR8ZfCNAcizzBhI1gCvJZlqm-UHsmCtFA3v1P0RWYDiywYU3H8ixzk_AoDg0C_I75t5gylYM9Icx7mEOGXqY6Iu5JLCMBd0TUwOE_XJ2P28SuO2hE3tNk4lxZFuUxxG3GQ67Oicw7Sma5wwmTG8oPsHfNu0esBhlx_wiT6bJxyx5M_kozdjxi9v_YTcXXy_XV021z9_XK3OrxsrmCpNy4VjnVF-QCn6DqWXpu1BDL2T3LecK2U6AOd7CwrdgLbrLLPOo6wpcRAn5PSwtzr-NWMu-jHOqTrLmnei79sWoK0qflDZFHNO6PU21X_TTjPQ-7z1IW9d89aveetlhfr_IBuK2f9dkgnj-6g4oLnemdaY_rp6h_oDzL-bGw |
| CitedBy_id | crossref_primary_10_1016_j_rinp_2023_106750 crossref_primary_10_1002_mma_9192 crossref_primary_10_1002_asjc_3222 crossref_primary_10_1088_1402_4896_adbf6f crossref_primary_10_1080_00207721_2025_2536210 crossref_primary_10_1080_00207160_2025_2472215 crossref_primary_10_1016_j_jocs_2023_101961 crossref_primary_10_1016_j_jocs_2024_102459 crossref_primary_10_1007_s11075_024_01871_3 crossref_primary_10_1016_j_apm_2024_01_050 crossref_primary_10_1177_10775463241238578 crossref_primary_10_1080_00207721_2023_2225505 crossref_primary_10_1177_10775463241256684 crossref_primary_10_1177_10775463221147715 crossref_primary_10_1007_s40435_023_01342_y crossref_primary_10_1016_j_matcom_2025_05_019 crossref_primary_10_1177_10775463241273027 crossref_primary_10_3390_fractalfract6090475 crossref_primary_10_1177_10775463251364020 |
| Cites_doi | 10.1023/A:1016586905654 10.1002/oca.2679 10.1177/0142331219890171 10.1007/s11071-017-4038-4 10.1007/BF01171449 10.1002/mma.3486 10.1016/j.apm.2013.09.013 10.1177/1077546316633391 10.1016/j.cnsns.2017.04.001 10.1007/978-3-540-30726-6 10.1177/1077546316659611 10.1016/j.apm.2016.04.026 10.1007/s40314-017-0419-z 10.2478/s13540-014-0218-9 10.1016/j.cnsns.2010.05.036 10.1007/s11075-017-0363-4 10.1177/1077546307087435 10.1016/j.apm.2012.10.026 10.1007/978-3-0348-8291-0_17 10.1007/s00366-019-00818-w 10.1115/1.3101682 |
| ContentType | Journal Article |
| Copyright | The Author(s), under exclusive licence to Springer Nature B.V. 2022 The Author(s), under exclusive licence to Springer Nature B.V. 2022. |
| Copyright_xml | – notice: The Author(s), under exclusive licence to Springer Nature B.V. 2022 – notice: The Author(s), under exclusive licence to Springer Nature B.V. 2022. |
| DBID | AAYXX CITATION 8FE 8FG ABJCF AFKRA BENPR BGLVJ CCPQU DWQXO HCIFZ L6V M7S PHGZM PHGZT PKEHL PQEST PQGLB PQQKQ PQUKI PRINS PTHSS |
| DOI | 10.1007/s11071-021-07195-4 |
| DatabaseName | CrossRef ProQuest SciTech Collection ProQuest Technology Collection Materials Science & Engineering Collection (ProQuest) ProQuest Central UK/Ireland ProQuest Central Technology collection ProQuest One Community College ProQuest Central SciTech Premium Collection ProQuest Engineering Collection Engineering Database ProQuest Central Premium ProQuest One Academic (New) ProQuest One Academic Middle East (New) ProQuest One Academic Eastern Edition (DO NOT USE) ProQuest One Applied & Life Sciences ProQuest One Academic (retired) ProQuest One Academic UKI Edition ProQuest Central China Engineering Collection (ProQuest) |
| DatabaseTitle | CrossRef Engineering Database Technology Collection ProQuest One Academic Middle East (New) ProQuest One Academic Eastern Edition SciTech Premium Collection ProQuest One Community College ProQuest Technology Collection ProQuest SciTech Collection ProQuest Central China ProQuest Central ProQuest One Applied & Life Sciences ProQuest Engineering Collection ProQuest One Academic UKI Edition ProQuest Central Korea Materials Science & Engineering Collection ProQuest One Academic ProQuest Central (New) Engineering Collection ProQuest One Academic (New) |
| DatabaseTitleList | Engineering Database |
| Database_xml | – sequence: 1 dbid: BENPR name: ProQuest Central url: https://www.proquest.com/central sourceTypes: Aggregation Database |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Applied Sciences Engineering |
| EISSN | 1573-269X |
| EndPage | 277 |
| ExternalDocumentID | 10_1007_s11071_021_07195_4 |
| GroupedDBID | -5B -5G -BR -EM -Y2 -~C -~X .86 .DC .VR 06D 0R~ 0VY 123 1N0 1SB 2.D 203 28- 29N 29~ 2J2 2JN 2JY 2KG 2KM 2LR 2P1 2VQ 2~H 30V 4.4 406 408 409 40D 40E 5QI 5VS 67Z 6NX 8FE 8FG 8TC 8UJ 95- 95. 95~ 96X AAAVM AABHQ AACDK AAHNG AAIAL AAJBT AAJKR AANZL AARHV AARTL AASML AATNV AATVU AAUYE AAWCG AAYIU AAYQN AAYTO AAYZH ABAKF ABBBX ABBXA ABDZT ABECU ABFTV ABHLI ABHQN ABJCF ABJNI ABJOX ABKCH ABKTR ABMNI ABMQK ABNWP ABQBU ABQSL ABSXP ABTEG ABTHY ABTKH ABTMW ABULA ABWNU ABXPI ACAOD ACBXY ACDTI ACGFS ACHSB ACHXU ACIWK ACKNC ACMDZ ACMLO ACOKC ACOMO ACPIV ACSNA ACZOJ ADHHG ADHIR ADIMF ADINQ ADKNI ADKPE ADRFC ADTPH ADURQ ADYFF ADZKW AEBTG AEFIE AEFQL AEGAL AEGNC AEJHL AEJRE AEKMD AEMSY AENEX AEOHA AEPYU AESKC AETLH AEVLU AEXYK AFBBN AFEXP AFFNX AFGCZ AFKRA AFLOW AFQWF AFWTZ AFZKB AGAYW AGDGC AGGDS AGJBK AGMZJ AGQEE AGQMX AGRTI AGWIL AGWZB AGYKE AHAVH AHBYD AHKAY AHSBF AHYZX AIAKS AIGIU AIIXL AILAN AITGF AJBLW AJRNO AJZVZ ALMA_UNASSIGNED_HOLDINGS ALWAN AMKLP AMXSW AMYLF AMYQR AOCGG ARCEE ARMRJ ASPBG AVWKF AXYYD AYJHY AZFZN B-. BA0 BBWZM BDATZ BENPR BGLVJ BGNMA BSONS CAG CCPQU COF CS3 CSCUP DDRTE DL5 DNIVK DPUIP EBLON EBS EIOEI EJD ESBYG F5P FEDTE FERAY FFXSO FIGPU FINBP FNLPD FRRFC FSGXE FWDCC GGCAI GGRSB GJIRD GNWQR GQ6 GQ7 GQ8 GXS H13 HCIFZ HF~ HG5 HG6 HMJXF HQYDN HRMNR HVGLF HZ~ I09 IHE IJ- IKXTQ IWAJR IXC IXD IXE IZIGR IZQ I~X I~Z J-C J0Z JBSCW JCJTX JZLTJ KDC KOV KOW L6V LAK LLZTM M4Y M7S MA- N2Q N9A NB0 NDZJH NPVJJ NQJWS NU0 O9- O93 O9G O9I O9J OAM OVD P19 P2P P9T PF0 PT4 PT5 PTHSS QOK QOS R4E R89 R9I RHV RNI RNS ROL RPX RSV RZC RZE RZK S16 S1Z S26 S27 S28 S3B SAP SCLPG SCV SDH SDM SEG SHX SISQX SJYHP SNE SNPRN SNX SOHCF SOJ SPISZ SRMVM SSLCW STPWE SZN T13 T16 TEORI TSG TSK TSV TUC U2A UG4 UOJIU UTJUX UZXMN VC2 VFIZW W23 W48 WH7 WK8 YLTOR Z45 Z5O Z7R Z7S Z7X Z7Y Z7Z Z83 Z86 Z88 Z8M Z8N Z8R Z8S Z8T Z8W Z8Z Z92 ZMTXR _50 ~A9 ~EX AAPKM AAYXX ABBRH ABDBE ABFSG ABRTQ ACSTC ADHKG AEZWR AFDZB AFFHD AFHIU AFOHR AGQPQ AHPBZ AHWEU AIXLP AMVHM ATHPR AYFIA CITATION PHGZM PHGZT PQGLB DWQXO PKEHL PQEST PQQKQ PQUKI PRINS |
| ID | FETCH-LOGICAL-c319t-523d16a9fbe7386e7f7a5803b8d72f52299a600df8c09edbec66c1cdfe7007203 |
| IEDL.DBID | RSV |
| ISICitedReferencesCount | 24 |
| ISICitedReferencesURI | http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000749015700001&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D |
| ISSN | 0924-090X |
| IngestDate | Wed Nov 05 02:21:57 EST 2025 Sat Nov 29 03:06:31 EST 2025 Tue Nov 18 22:39:25 EST 2025 Fri Feb 21 02:47:21 EST 2025 |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 1 |
| Keywords | Beta function Numerical method Distributed-order fractional optimal control Fractional-order Chebyshev wavelet |
| Language | English |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-c319t-523d16a9fbe7386e7f7a5803b8d72f52299a600df8c09edbec66c1cdfe7007203 |
| Notes | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14 |
| ORCID | 0000-0002-2189-0802 |
| PQID | 2638855005 |
| PQPubID | 2043746 |
| PageCount | 13 |
| ParticipantIDs | proquest_journals_2638855005 crossref_primary_10_1007_s11071_021_07195_4 crossref_citationtrail_10_1007_s11071_021_07195_4 springer_journals_10_1007_s11071_021_07195_4 |
| PublicationCentury | 2000 |
| PublicationDate | 20220300 2022-03-00 20220301 |
| PublicationDateYYYYMMDD | 2022-03-01 |
| PublicationDate_xml | – month: 3 year: 2022 text: 20220300 |
| PublicationDecade | 2020 |
| PublicationPlace | Dordrecht |
| PublicationPlace_xml | – name: Dordrecht |
| PublicationSubtitle | An International Journal of Nonlinear Dynamics and Chaos in Engineering Systems |
| PublicationTitle | Nonlinear dynamics |
| PublicationTitleAbbrev | Nonlinear Dyn |
| PublicationYear | 2022 |
| Publisher | Springer Netherlands Springer Nature B.V |
| Publisher_xml | – name: Springer Netherlands – name: Springer Nature B.V |
| References | Heydari, Hooshmandasl, Ghaini (CR21) 2014; 38 Alizadeh, Effati (CR28) 2018; 24 Rahimkhani, Ordokhani (CR9) 2021; 42 Zeid, Yousefi (CR27) 2016; 12 Ionescu, Lopes, Copot, Machado, Bates (CR4) 2017; 51 Heydari, Hooshmandasl, Ghaini, Cattani (CR11) 2016; 286 Canuto, Hussaini, Quarteroni, Zang (CR23) 2006 CR15 Atanackovic (CR5) 2002; 159 Rahimkhani, Ordokhani, Babolian (CR24) 2018; 77 Bhrawy, Alhamed, Baleanu, Al-Zahrani (CR18) 2014; 17 Zaky (CR8) 2018; 91 Saeedi, Moghadam, Mollahasani, Chuev (CR10) 2011; 16 Mashayekhi, Razzaghi (CR14) 2016; 39 CR2 CR3 Rahimkhani, Ordokhani, Babolian (CR19) 2016; 40 Li, Zhao (CR13) 2010; 216 Bohannan (CR1) 2008; 14 Kazem, Abbasbandy, Kumar (CR17) 2013; 37 Lorenzo, Hartley (CR7) 2002; 29 CR25 Rafiei, Kafash, Karbassi (CR12) 2018; 37 CR22 Chechkin, Gorenflo, Sokolov, Gonchar (CR6) 2003; 6 CR20 Sahu, Saha Ray (CR26) 2018; 24 Vichitkunakorn, Vo, Razzaghi (CR16) 2020; 42 7195_CR25 S Mashayekhi (7195_CR14) 2016; 39 7195_CR22 C Ionescu (7195_CR4) 2017; 51 GW Bohannan (7195_CR1) 2008; 14 MH Heydari (7195_CR11) 2016; 286 MA Zaky (7195_CR8) 2018; 91 SS Zeid (7195_CR27) 2016; 12 H Saeedi (7195_CR10) 2011; 16 PK Sahu (7195_CR26) 2018; 24 7195_CR20 P Rahimkhani (7195_CR9) 2021; 42 A Alizadeh (7195_CR28) 2018; 24 A Bhrawy (7195_CR18) 2014; 17 P Rahimkhani (7195_CR19) 2016; 40 7195_CR3 7195_CR2 AV Chechkin (7195_CR6) 2003; 6 Y Li (7195_CR13) 2010; 216 7195_CR15 TM Atanackovic (7195_CR5) 2002; 159 P Rahimkhani (7195_CR24) 2018; 77 C Canuto (7195_CR23) 2006 S Kazem (7195_CR17) 2013; 37 Z Rafiei (7195_CR12) 2018; 37 CF Lorenzo (7195_CR7) 2002; 29 MH Heydari (7195_CR21) 2014; 38 P Vichitkunakorn (7195_CR16) 2020; 42 |
| References_xml | – ident: CR22 – volume: 6 start-page: 259 issue: 3 year: 2003 end-page: 280 ident: CR6 article-title: Distributed order time fractional diffusion equation publication-title: Fract. Calc. Appl. Anal. – volume: 29 start-page: 57 year: 2002 end-page: 98 ident: CR7 article-title: Variable-order and distributed order fractional operators publication-title: Nonlinear Dyn. doi: 10.1023/A:1016586905654 – volume: 42 start-page: 355 issue: 1 year: 2021 end-page: 373 ident: CR9 article-title: Numerical investigation of distributed-order fractional optimal control problems via Bernstein wavelets publication-title: Optim. Contr. Appl. Met. doi: 10.1002/oca.2679 – ident: CR2 – volume: 42 start-page: 1334 issue: 7 year: 2020 end-page: 1344 ident: CR16 article-title: A numerical method for fractional pantograph differential equations based on Taylor wavelets publication-title: T I Meas. Control doi: 10.1177/0142331219890171 – volume: 91 start-page: 2667 issue: 4 year: 2018 end-page: 2681 ident: CR8 article-title: A Legendre collocation method for distributed-order fractional optimal control problems publication-title: Nonlinear Dyn. doi: 10.1007/s11071-017-4038-4 – volume: 159 start-page: 77 issue: 1 year: 2002 end-page: 86 ident: CR5 article-title: A generalized model for the uniaxial isothermal deformation of a viscoelastic body publication-title: Acta Mech. doi: 10.1007/BF01171449 – volume: 216 start-page: 2276 issue: 8 year: 2010 end-page: 2285 ident: CR13 article-title: Haar wavelet operational matrix of fractional order integration and its applications in solving the fractional order differential equations publication-title: Appl. Math. Comput. – volume: 39 start-page: 353 issue: 3 year: 2016 end-page: 365 ident: CR14 article-title: Numerical solution of the fractional Bagley-Torvik equation by using hybrid functions approximation publication-title: Math. Method Appl. Sci. doi: 10.1002/mma.3486 – volume: 38 start-page: 1597 issue: 5–6 year: 2014 end-page: 1606 ident: CR21 article-title: A new approach of the Chebyshev wavelets method for partial differential equations with boundary conditions of the telegraph type publication-title: Appl. Math. Model. doi: 10.1016/j.apm.2013.09.013 – volume: 24 start-page: 18 issue: 1 year: 2018 end-page: 36 ident: CR28 article-title: An iterative approach for solving fractional optimal control problems publication-title: J. Vib. Control doi: 10.1177/1077546316633391 – volume: 51 start-page: 141 year: 2017 end-page: 159 ident: CR4 article-title: The role of fractional calculus in modeling biological phenomena: A review publication-title: Commun. Nonlinear Sci. Numer. Simul. doi: 10.1016/j.cnsns.2017.04.001 – ident: CR25 – year: 2006 ident: CR23 publication-title: Spectral methods-fundamentals in single domains doi: 10.1007/978-3-540-30726-6 – volume: 24 start-page: 1185 issue: 6 year: 2018 end-page: 1201 ident: CR26 article-title: Comparison on wavelets techniques for solving fractional optimal control problems publication-title: J. Vib. Control doi: 10.1177/1077546316659611 – volume: 12 start-page: 83 issue: 2 year: 2016 end-page: 94 ident: CR27 article-title: Approximated solutions of linear quadratic fractional optimal control problems publication-title: J. Appl. Math. Stat. Info. – volume: 40 start-page: 8087 issue: 17–18 year: 2016 end-page: 8107 ident: CR19 article-title: Fractional-order Bernoulli wavelets and their applications publication-title: Appl. Math. Model. doi: 10.1016/j.apm.2016.04.026 – volume: 286 start-page: 139 year: 2016 end-page: 154 ident: CR11 article-title: Wavelets method for solving fractional optimal control problems publication-title: Appl. Math. Comput. – volume: 37 start-page: 144 issue: 1 year: 2018 end-page: 157 ident: CR12 article-title: A new approach based on using Chebyshev wavelets for solving various optimal control problems publication-title: Comput. Appl. Math. doi: 10.1007/s40314-017-0419-z – ident: CR3 – ident: CR15 – volume: 17 start-page: 1137 issue: 4 year: 2014 end-page: 1157 ident: CR18 article-title: New spectral techniques for systems of fractional differential equations using fractional-order generalized Laguerre orthogonal functions publication-title: Fract. Calc. Appl. Anal. doi: 10.2478/s13540-014-0218-9 – volume: 16 start-page: 1154 issue: 3 year: 2011 end-page: 1163 ident: CR10 article-title: A CAS wavelet method for solving nonlinear Fredholm integro-differential equations of fractional order publication-title: Commun. Nonlinear Sci. Numer. Simul. doi: 10.1016/j.cnsns.2010.05.036 – volume: 77 start-page: 1283 issue: 4 year: 2018 end-page: 1305 ident: CR24 article-title: Müntz-Legendre wavelet operational matrix of fractional-order integration and its applications for solving the fractional pantograph differential equations publication-title: Numer. Algorithms doi: 10.1007/s11075-017-0363-4 – volume: 14 start-page: 1487 issue: 9–10 year: 2008 end-page: 1498 ident: CR1 article-title: Analog fractional order controller in temperature and motor control applications publication-title: J. Vib. Control doi: 10.1177/1077546307087435 – volume: 37 start-page: 5498 issue: 7 year: 2013 end-page: 5510 ident: CR17 article-title: Fractional-order Legendre functions for solving fractional-order differential equations publication-title: Appl. Math. Model. doi: 10.1016/j.apm.2012.10.026 – ident: CR20 – ident: 7195_CR3 doi: 10.1007/978-3-0348-8291-0_17 – volume: 16 start-page: 1154 issue: 3 year: 2011 ident: 7195_CR10 publication-title: Commun. Nonlinear Sci. Numer. Simul. doi: 10.1016/j.cnsns.2010.05.036 – ident: 7195_CR22 – volume: 40 start-page: 8087 issue: 17–18 year: 2016 ident: 7195_CR19 publication-title: Appl. Math. Model. doi: 10.1016/j.apm.2016.04.026 – ident: 7195_CR20 – volume: 29 start-page: 57 year: 2002 ident: 7195_CR7 publication-title: Nonlinear Dyn. doi: 10.1023/A:1016586905654 – volume: 14 start-page: 1487 issue: 9–10 year: 2008 ident: 7195_CR1 publication-title: J. Vib. Control doi: 10.1177/1077546307087435 – volume: 286 start-page: 139 year: 2016 ident: 7195_CR11 publication-title: Appl. Math. Comput. – volume: 42 start-page: 1334 issue: 7 year: 2020 ident: 7195_CR16 publication-title: T I Meas. Control doi: 10.1177/0142331219890171 – ident: 7195_CR15 doi: 10.1007/s00366-019-00818-w – volume: 37 start-page: 144 issue: 1 year: 2018 ident: 7195_CR12 publication-title: Comput. Appl. Math. doi: 10.1007/s40314-017-0419-z – volume: 37 start-page: 5498 issue: 7 year: 2013 ident: 7195_CR17 publication-title: Appl. Math. Model. doi: 10.1016/j.apm.2012.10.026 – volume: 51 start-page: 141 year: 2017 ident: 7195_CR4 publication-title: Commun. Nonlinear Sci. Numer. Simul. doi: 10.1016/j.cnsns.2017.04.001 – volume: 17 start-page: 1137 issue: 4 year: 2014 ident: 7195_CR18 publication-title: Fract. Calc. Appl. Anal. doi: 10.2478/s13540-014-0218-9 – volume: 91 start-page: 2667 issue: 4 year: 2018 ident: 7195_CR8 publication-title: Nonlinear Dyn. doi: 10.1007/s11071-017-4038-4 – ident: 7195_CR2 doi: 10.1115/1.3101682 – ident: 7195_CR25 – volume: 216 start-page: 2276 issue: 8 year: 2010 ident: 7195_CR13 publication-title: Appl. Math. Comput. – volume: 38 start-page: 1597 issue: 5–6 year: 2014 ident: 7195_CR21 publication-title: Appl. Math. Model. doi: 10.1016/j.apm.2013.09.013 – volume: 42 start-page: 355 issue: 1 year: 2021 ident: 7195_CR9 publication-title: Optim. Contr. Appl. Met. doi: 10.1002/oca.2679 – volume: 159 start-page: 77 issue: 1 year: 2002 ident: 7195_CR5 publication-title: Acta Mech. doi: 10.1007/BF01171449 – volume: 77 start-page: 1283 issue: 4 year: 2018 ident: 7195_CR24 publication-title: Numer. Algorithms doi: 10.1007/s11075-017-0363-4 – volume: 12 start-page: 83 issue: 2 year: 2016 ident: 7195_CR27 publication-title: J. Appl. Math. Stat. Info. – volume: 39 start-page: 353 issue: 3 year: 2016 ident: 7195_CR14 publication-title: Math. Method Appl. Sci. doi: 10.1002/mma.3486 – volume: 24 start-page: 1185 issue: 6 year: 2018 ident: 7195_CR26 publication-title: J. Vib. Control doi: 10.1177/1077546316659611 – volume: 24 start-page: 18 issue: 1 year: 2018 ident: 7195_CR28 publication-title: J. Vib. Control doi: 10.1177/1077546316633391 – volume: 6 start-page: 259 issue: 3 year: 2003 ident: 7195_CR6 publication-title: Fract. Calc. Appl. Anal. – volume-title: Spectral methods-fundamentals in single domains year: 2006 ident: 7195_CR23 doi: 10.1007/978-3-540-30726-6 |
| SSID | ssj0003208 |
| Score | 2.4666593 |
| Snippet | This paper studies a numerical approach based on generalized fractional-order Chebyshev wavelets for solving distributed-order fractional optimal control... |
| SourceID | proquest crossref springer |
| SourceType | Aggregation Database Enrichment Source Index Database Publisher |
| StartPage | 265 |
| SubjectTerms | Approximation Automotive Engineering Chebyshev approximation Classical Mechanics Collocation methods Control Control theory Dynamical Systems Engineering Fractional calculus Mathematical functions Mechanical Engineering Operators (mathematics) Optimal control Optimization Original Paper Vibration |
| SummonAdditionalLinks | – databaseName: Engineering Database dbid: M7S link: http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV3JTsMwEB2xHeBAWUXZ5AM3iEjSZjshhKg4oAqJRb1FXgGptKVpQfABfDczjtsAElw45RDbiTSLZ-yZ9wAOUs5xW1ahJ1RKoNpKeCIKNFq81Kn0Y64sqM_dZdJup51OduUO3ApXVjnxidZRq76kM_LjEBWFwLf86GTw7BFrFN2uOgqNWZgnlITAlu5dTz1xI7SMdD7mGHQe0XFNM2XrHOY9mEiHAbXwZJHX_L4xVdHmjwtSu--0av_94xVYdhEnOy1VZBVmdG8Nai76ZM62izVY-gJNuA4f7XF5l9NlU-1kGOAyRUi7RJKllWdxO5kZls0ROLSPDugJn64Anjm6moKJN0YV9vfsvoS5fnzHb1cT3UpnD5qOy_ULe-VEiDEqNuC2dX5zduE5zgZPojGPKK9VQcwzIzTRierEJDxK_YZIVRIaDPayjGOMpQwqQqYValAcy0AqoxMCMfcbmzDX6_f0FjCRmigJRIwpnGhGDc5N0zfcpKHhmc-lqkMwEVguHaA58Wp08wqKmYSco5BzK-S8WYfD6ZxBCefx5-jdiWRzZ9pFXom1DkcT3ahe_77a9t-r7cBiSK0Vtr5tF-ZGw7HegwX5MnoshvtWsT8BK00BvQ priority: 102 providerName: ProQuest |
| Title | Numerical solutions for distributed-order fractional optimal control problems by using generalized fractional-order Chebyshev wavelets |
| URI | https://link.springer.com/article/10.1007/s11071-021-07195-4 https://www.proquest.com/docview/2638855005 |
| Volume | 108 |
| WOSCitedRecordID | wos000749015700001&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: PRVPQU databaseName: Engineering Database (subscription) customDbUrl: eissn: 1573-269X dateEnd: 20241213 omitProxy: false ssIdentifier: ssj0003208 issn: 0924-090X databaseCode: M7S dateStart: 19970101 isFulltext: true titleUrlDefault: http://search.proquest.com providerName: ProQuest – providerCode: PRVPQU databaseName: ProQuest Central customDbUrl: eissn: 1573-269X dateEnd: 20241213 omitProxy: false ssIdentifier: ssj0003208 issn: 0924-090X databaseCode: BENPR dateStart: 19970101 isFulltext: true titleUrlDefault: https://www.proquest.com/central providerName: ProQuest – providerCode: PRVAVX databaseName: Springer Nature - Connect here FIRST to enable access customDbUrl: eissn: 1573-269X dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0003208 issn: 0924-090X databaseCode: RSV dateStart: 19970101 isFulltext: true titleUrlDefault: https://link.springer.com/search?facet-content-type=%22Journal%22 providerName: Springer Nature |
| link | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV07T8MwED4BZYCBRwFRKJUHNoiUpHmOgFoxoArxUrfIju2CVFrUFBD8AH43d4nTAAIkmDLEdqJ7-c6--w5gP-Ict2XpWkJGBKothSV8R6HGpypK7YDLHNTn5izs9aJ-Pz43RWFZme1eXknmlroqdsNIBUNf16Gim9i3vHmo-YQ2QzH65c3M_rbdvA-djZEFnUL0TanM92t83o4qH_PLtWi-23RX__efa7BivEt2VIjDOsypUR1WjafJjB5ndVj-AEO4AW-9x-LeZshmksjQmWWSUHWpIZaSVo7RyfSkKITAoWM0Nvf4NMnuzLSmyZh4YZRNP2CDAtL67hW_XU00K53cKjoaV0_smVPzi2m2CdfdztXJqWX6M1gpKu6UYljpBDzWQlHrUBXqkPuR3RaRDF2Njl0cc_SnpEamx0qitARB6qRSq5AAy-32FiyMxiO1DUxE2g8dEWC4Jjy_zbn2bM115Goe2zyVDXBKNiWpAS-nHhrDpIJdJrInSPYkJ3viNeBgNuehgO74dXSz5H5i1DhLXLROhPhm-w04LLldvf55tZ2_Dd-FJZfKKvLctiYsTCePag8W06fpXTZpQe240zu_aFFe6mUrF_Z3APn6KQ |
| linkProvider | Springer Nature |
| linkToHtml | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMw1V3PT9RAFH7BhUQ9iIKGVdQ5yAka2unvgzGKEAhrQwiavZX5iSSwi9sFgn-Af45_o--1062ayI2Dpx46M22n37x5b2be9wG8yYTAaVlzT-qMSLW19GQcGBzxymTKT4SuSX2-DNKiyIbD_GAOfra5MHSssrWJtaHWY0Vr5JscgULkW3787uKbR6pRtLvaSmg0sNg3N9cYslVv9z7i_13jfGf7aGvXc6oCnkK4TSny0kEicisNCV6a1KYizvxQZjrlFt2RPBfoBWiLr5objd-YJCpQ2pqUaLb9ENu9B_NRGCVxD-Y_bBcHhzPbH_JaA8_HqIZWQIYuTadJ1sNIC0N3HlDSUB570Z9TYeff_rUlW890O4v_Wx89hkfOp2bvm0HwBObMaAkWnX_NnPWqluDhb-SLy_CjuGx2q87YbPwxdOGZJi5hkgEz2quZSZmdNOkfWHSMJvYcr-6IP3OCPBWTN4xyCE7YSUPkffodn91VdC1tfTW0IWCu2LUgyY9p9RQ-30nfPIPeaDwyK8BkZuM0kAkGqTKKQyFs5FthM25F7gul-xC0ACmVo2wn5ZCzsiObJlCVCKqyBlUZ9WF9VueiISy5tfRqi6TSGa-q7GDUh40Wi93tf7f2_PbWXsP93aNPg3KwV-y_gAecEknq03yr0JtOLs1LWFBX09Nq8soNKwbHd43SX5pZYFo |
| linkToPdf | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV1LS8QwEB58IXrwLa7PHLxpse32eRR1UZRFfLG3kjTJKujusq2K_gB_tzNtdquigngqtEkakplkJpnvG4DtiHPclqVrCRkRqbYUlvAdhRqfqii1Ay4LUp-bs7DZjFqt-PwDir-Idh9cSZaYBmJp6uR7Pan3KuAbei3oBrsOAXBi3_JGYdzDdxTUdXF5M1yL626Rk85GL4NOJFoGNvN9G5-3psre_HJFWuw8jdn_93kOZozVyfZLMZmHEdVZgFljgTKj39kCTH-gJ1yEt-ZjeZ9zz4YSytDIZZLYdilRlpJWwd3JdL8ESGDRLi5CD_g0QfDMpKzJmHhhFGXfZu2S6vruFf9dVTQtHdwqOjJXT-yZU1KMPFuC68bR1cGxZfI2WCkqdE6-rXQCHmuhKKWoCnXI_ciui0iGrkaDL4452llSozDESqIUBUHqpFKrkIjM7foyjHW6HbUCTETaDx0RoBsnPL_OufZszXXkah7bPJU1cAZTlqSG1Jxya9wnFR0zDXuCw54Uw554NdgZ1umVlB6_ll4fSEJi1DtLXFy1iAnO9muwO5j56vPPra3-rfgWTJ4fNpKzk-bpGky5hLwowt_WYSzvP6oNmEif8rusv1lI_TvVPANu |
| 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=Numerical+solutions+for+distributed-order+fractional+optimal+control+problems+by+using+generalized+fractional-order+Chebyshev+wavelets&rft.jtitle=Nonlinear+dynamics&rft.au=Ghanbari%2C+Ghodsieh&rft.au=Razzaghi%2C+Mohsen&rft.date=2022-03-01&rft.pub=Springer+Netherlands&rft.issn=0924-090X&rft.eissn=1573-269X&rft.volume=108&rft.issue=1&rft.spage=265&rft.epage=277&rft_id=info:doi/10.1007%2Fs11071-021-07195-4&rft.externalDocID=10_1007_s11071_021_07195_4 |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0924-090X&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0924-090X&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0924-090X&client=summon |