A caputo fractional order financial mathematical model analyzing the impact of an adaptive minimum interest rate and maximum investment demand
A key model for predictive analysis, particularly in finance, is the Rössler system. This study introduces an enhanced version of this model, incorporating minimum interest rates and maximum investment demands. To capture its temporal dynamics, we used the Caputo fractional order derivative, which a...
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| Veröffentlicht in: | Results in control and optimization Jg. 14; S. 100349 |
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| Format: | Journal Article |
| Sprache: | Englisch |
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Elsevier B.V
01.03.2024
Elsevier |
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| ISSN: | 2666-7207, 2666-7207 |
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| Abstract | A key model for predictive analysis, particularly in finance, is the Rössler system. This study introduces an enhanced version of this model, incorporating minimum interest rates and maximum investment demands. To capture its temporal dynamics, we used the Caputo fractional order derivative, which allowed us to evaluate the memory effect that underpins these factors’ financial stability and volatility over time. The research establishes the existence and uniqueness of the model solution, confirming its reliability. Numerical solutions obtained via the homotopy perturbation method and simulations reveals a positive correlation between maximum investment demand and interest rates, highlighting the significant impact of long-term dependencies and non-local influences of demands on interest rates. The insights provide valuable guidance for navigating financial uncertainties and optimizing investment strategies for market stability, deepening our understanding of relationships in nonlinear financial systems. |
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| AbstractList | A key model for predictive analysis, particularly in finance, is the Rössler system. This study introduces an enhanced version of this model, incorporating minimum interest rates and maximum investment demands. To capture its temporal dynamics, we used the Caputo fractional order derivative, which allowed us to evaluate the memory effect that underpins these factors’ financial stability and volatility over time. The research establishes the existence and uniqueness of the model solution, confirming its reliability. Numerical solutions obtained via the homotopy perturbation method and simulations reveals a positive correlation between maximum investment demand and interest rates, highlighting the significant impact of long-term dependencies and non-local influences of demands on interest rates. The insights provide valuable guidance for navigating financial uncertainties and optimizing investment strategies for market stability, deepening our understanding of relationships in nonlinear financial systems. |
| ArticleNumber | 100349 |
| Author | Yunus, Akeem Olarewaju Alaje, Adedapo Ismaila Olayiwola, Morufu Oyedunsi |
| Author_xml | – sequence: 1 givenname: Morufu Oyedunsi orcidid: 0000-0002-7729-3425 surname: Olayiwola fullname: Olayiwola, Morufu Oyedunsi – sequence: 2 givenname: Adedapo Ismaila surname: Alaje fullname: Alaje, Adedapo Ismaila – sequence: 3 givenname: Akeem Olarewaju surname: Yunus fullname: Yunus, Akeem Olarewaju email: akeem.yunus@oscotechesaoke.edu.ng |
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| Cites_doi | 10.1016/j.chaos.2019.05.024 10.12988/ces.2017.712197 10.1016/j.padiff.2023.100502 10.1016/j.amc.2022.127207 10.3390/e22091027 10.1016/j.chaos.2021.110898 10.1016/j.chaos.2019.07.026 10.1186/s43088-022-00317-w 10.1155/2018/4019749 10.1016/j.joems.2014.06.015 10.1016/j.chaos.2018.05.022 10.2298/TSCI160111018A 10.1016/j.apm.2015.11.033 10.1016/j.aej.2021.02.011 10.1186/s43088-022-00326-9 10.1016/j.ijleo.2016.08.098 10.1016/j.chaos.2019.109552 10.3390/e20050384 10.1186/s42269-023-01091-0 10.1016/j.aej.2021.02.056 10.1016/S0045-7825(99)00018-3 10.1007/s11071-022-08073-3 10.1016/0375-9601(76)90101-8 10.1155/2021/5542908 10.1016/j.jksus.2016.09.004 10.1016/j.chaos.2022.112370 10.1016/j.physleta.2007.03.025 10.1186/s13662-021-03340-w 10.1186/s13662-020-02729-3 10.1016/j.rinp.2023.106555 10.1186/s43088-023-00343-2 10.1186/s13662-020-03074-1 10.1016/j.health.2023.100230 10.1016/j.chaos.2019.05.023 10.3390/app11010081 10.1016/j.aej.2021.10.016 10.1155/2020/5810707 10.1155/2020/9845031 10.1186/s43088-023-00433-1 |
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| Keywords | Financial model Chaotic dynamics Caputo fractional order Rössler system |
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| References | Begum, Tunç, Khan, Gulzar, Khan (b39) 2021; 146 Kumar (b5) 2023; 50 Fall, Ndiaye, Sene (b45) 2019; 125 Kolawole, Olayiwola, Alaje, Adekunle, Odeyemi (b13) 2023; 12 Sayed, Matouk, Kumar, Ali, Bachioua (b2) 2021; 2021 Tajadodi, Khan, Gómez-Aguilar, Khan (b38) 2020; 42 Lu (b3) 2020; 2020 Kachhia (b44) 2023; 7 Devi, Kumar, Abdeljawad, Khan (b34) 2021; 60 Farman, Akgül, Baleanu, Imtiaz, Ahmad (b22) 2020; 4 Ayati, Biazar (b35) 2015; 23 Khan, Khan, Gómez-Aguilar, Abdeljawad (b29) 2019; 127 Moutsinga, Pindza, Maré (b16) 2018; 30 Alaje, Olayiwola, Adedokun (b19) 2022; 11 Alaje, Olayiwola, Adedokun (b23) 2023; 12 Atangana, Baleanu (b28) 2016; 20 Ain, Anjum, Din, Zeb, Djilali, Khan (b46) 2022; 61 Yunus, Olayiwola, Adedokun, Adedeji, Alaje (b11) 2022; 11 Devi, Kumar, Baleanu, Khan (b33) 2020; 2020 Hajipour, Tavakoli (b55) 2016; 127 Rössler (b1) 1976; 57 Caputo, Fabrizio (b27) 2016; 1 Wang, Wang, Han (b49) 2016; 11 Behinfaraz, Badamchizadeh, Ghiasi (b48) 2016; 40 Alaje, Olayiwola, Ogunniran, Adedeji, Adedokun (b18) 2021; 31 Ghandehari, Rajbar (b42) 2014; 2 Vellappandi, Kumar, Govindaraj (b21) 2022 Khan, Tun CÇc, Khan (b31) 2020; 10 Tusset, Fuziki, Balthazar, Andrade, Lenzi (b52) 2023; 7 Wang, He, Sun (b4) 2018; 2018 Caputo (b26) 1969 Vellappandi, Kumar, Govindaraj (b20) 2023; 111 Diouf, Sene (b51) 2020; 2020 Olayiwola, Adedokun (b12) 2023; 47 Li, Xu, Li (b50) 2007; 367 Khan, Tunc, Chen, Khan (b30) 2018; 8 Yusuf, Qureshi, Shah (b47) 2020; 132 Gómez-Aguilar, Atangana (b8) 2020 Guedes, Mendes, Nepomuceno (b7) 2022; 428 Bedi, Kumar, Abdeljawad, Khan, Khan (b32) 2020; 2020 Pérez, Gómez-Aguilar, Baleanu, Tchier (b43) 2018; 20 Olayiwola, Alaje, Olarewaju, Adedokun (b53) 2023; 3 Huang, Cai, Cao (b41) 2018; 113 Yunus, Olayiwola, Omoloye, Oladapo (b10) 2023; 3 Huang, Cai, Cao (b56) 2018; 113 Karimov, Tutueva, Karimov, Druzhina, Butusov (b40) 2021; 11 Kumar, Govindaraj, Erturk (b36) 2022; 161 Granada, Sánchez, Sánchez (b17) 2017; 10 Liouville (b25) 1832; 13 Sene (b24) 2021; 60 He (b15) 1999; 178 Khan, Alshehri, Gómez-Aguilar (b37) 2021; 2021 Alaje, Olayiwola (b54) 2023 Jahanshahi, Yousefpour, Wei, Alcaraz, Bekiros (b6) 2019; 126 Owolabi, Gómez-Aguilar, Fernández-Anaya, Lavín-Delgado, Hernández-Castillo (b9) 2020; 22 Kolawole, Olayiwola, Alaje, Odeyemi (b14) 2023; 20 Ghandehari (10.1016/j.rico.2023.100349_b42) 2014; 2 Olayiwola (10.1016/j.rico.2023.100349_b53) 2023; 3 He (10.1016/j.rico.2023.100349_b15) 1999; 178 Devi (10.1016/j.rico.2023.100349_b33) 2020; 2020 Khan (10.1016/j.rico.2023.100349_b30) 2018; 8 Yusuf (10.1016/j.rico.2023.100349_b47) 2020; 132 Kolawole (10.1016/j.rico.2023.100349_b14) 2023; 20 Olayiwola (10.1016/j.rico.2023.100349_b12) 2023; 47 Lu (10.1016/j.rico.2023.100349_b3) 2020; 2020 Kolawole (10.1016/j.rico.2023.100349_b13) 2023; 12 Begum (10.1016/j.rico.2023.100349_b39) 2021; 146 Tusset (10.1016/j.rico.2023.100349_b52) 2023; 7 Kumar (10.1016/j.rico.2023.100349_b5) 2023; 50 Pérez (10.1016/j.rico.2023.100349_b43) 2018; 20 Granada (10.1016/j.rico.2023.100349_b17) 2017; 10 Caputo (10.1016/j.rico.2023.100349_b27) 2016; 1 Khan (10.1016/j.rico.2023.100349_b37) 2021; 2021 Kumar (10.1016/j.rico.2023.100349_b36) 2022; 161 Karimov (10.1016/j.rico.2023.100349_b40) 2021; 11 Yunus (10.1016/j.rico.2023.100349_b10) 2023; 3 Moutsinga (10.1016/j.rico.2023.100349_b16) 2018; 30 Alaje (10.1016/j.rico.2023.100349_b18) 2021; 31 Alaje (10.1016/j.rico.2023.100349_b19) 2022; 11 Hajipour (10.1016/j.rico.2023.100349_b55) 2016; 127 Jahanshahi (10.1016/j.rico.2023.100349_b6) 2019; 126 Atangana (10.1016/j.rico.2023.100349_b28) 2016; 20 Guedes (10.1016/j.rico.2023.100349_b7) 2022; 428 Alaje (10.1016/j.rico.2023.100349_b54) 2023 Devi (10.1016/j.rico.2023.100349_b34) 2021; 60 Vellappandi (10.1016/j.rico.2023.100349_b20) 2023; 111 Wang (10.1016/j.rico.2023.100349_b4) 2018; 2018 Liouville (10.1016/j.rico.2023.100349_b25) 1832; 13 Khan (10.1016/j.rico.2023.100349_b29) 2019; 127 Diouf (10.1016/j.rico.2023.100349_b51) 2020; 2020 Wang (10.1016/j.rico.2023.100349_b49) 2016; 11 Tajadodi (10.1016/j.rico.2023.100349_b38) 2020; 42 Sene (10.1016/j.rico.2023.100349_b24) 2021; 60 Sayed (10.1016/j.rico.2023.100349_b2) 2021; 2021 Gómez-Aguilar (10.1016/j.rico.2023.100349_b8) 2020 Ayati (10.1016/j.rico.2023.100349_b35) 2015; 23 Huang (10.1016/j.rico.2023.100349_b56) 2018; 113 Ain (10.1016/j.rico.2023.100349_b46) 2022; 61 Caputo (10.1016/j.rico.2023.100349_b26) 1969 Owolabi (10.1016/j.rico.2023.100349_b9) 2020; 22 Bedi (10.1016/j.rico.2023.100349_b32) 2020; 2020 Fall (10.1016/j.rico.2023.100349_b45) 2019; 125 Kachhia (10.1016/j.rico.2023.100349_b44) 2023; 7 Huang (10.1016/j.rico.2023.100349_b41) 2018; 113 Rössler (10.1016/j.rico.2023.100349_b1) 1976; 57 Alaje (10.1016/j.rico.2023.100349_b23) 2023; 12 Li (10.1016/j.rico.2023.100349_b50) 2007; 367 Behinfaraz (10.1016/j.rico.2023.100349_b48) 2016; 40 Vellappandi (10.1016/j.rico.2023.100349_b21) 2022 Yunus (10.1016/j.rico.2023.100349_b11) 2022; 11 Khan (10.1016/j.rico.2023.100349_b31) 2020; 10 Farman (10.1016/j.rico.2023.100349_b22) 2020; 4 |
| References_xml | – start-page: 14 year: 1969 ident: b26 article-title: Elasticita E Dissipazione – volume: 113 start-page: 326 year: 2018 end-page: 332 ident: b56 article-title: Linear control for synchronization of a fractional-order time-delayed chaotic financial system publication-title: Chaos Solitons Fractals – volume: 428 year: 2022 ident: b7 article-title: Effective computational discretization scheme for nonlinear dynamical systems publication-title: Appl Math Comput – volume: 127 start-page: 10643 year: 2016 end-page: 10652 ident: b55 article-title: Analysis and circuit simulation of a novel nonlinear fractional incommensurate order financial system publication-title: Optik – volume: 4 year: 2020 ident: b22 article-title: Analysis of fractional order chaotic financial model with minimum interest rate impact publication-title: Fractal Fractals – volume: 161 year: 2022 ident: b36 article-title: A novel mathematical model to describe the transmission dynamics of tooth cavity in the human population publication-title: Chaos Solitons Fractals – volume: 11 start-page: 144 year: 2022 ident: b11 article-title: Mathematical analysis of fractional-order Caputo’s derivative of coronavirus disease model via Laplace Adomian decomposition method publication-title: Beni-Suef Univ J Basic Appl Sci – volume: 146 year: 2021 ident: b39 article-title: A fractional order zika virus model with Mittag–Leffler kernel publication-title: Chaos Solitons Fractals – volume: 42 year: 2020 ident: b38 article-title: Optimal control problems with Atangana-Baleanu fractional derivative publication-title: Optim Control Appl Methods – volume: 2020 year: 2020 ident: b51 article-title: Analysis of the financial chaotic model with the fractional derivative operator publication-title: Complexity – volume: 126 start-page: 66 year: 2019 end-page: 77 ident: b6 article-title: A financial hyperchaotic system with coexisting attractors: Dynamic investigation, entropy analysis, control and synchronization publication-title: Chaos, Solitons Fractals – volume: 30 start-page: 1 year: 2018 end-page: 13 ident: b16 article-title: Homotopy perturbation transform method for pricing under pure diffusion models with affine coefficients publication-title: J King Saud Univ - Sci – volume: 11 start-page: 139 year: 2022 ident: b19 article-title: Modified homotopy perturbation method and its application to analytical solitons of fractional-order Korteweg–de Vries equation publication-title: Beni-Suef Univ J Basic Appl Sci – volume: 13 start-page: 71 year: 1832 end-page: 162 ident: b25 article-title: Mémoire sur le calcul des diférentielles à indices quelconques publication-title: J l’École Polytech – volume: 178 start-page: 257 year: 1999 end-page: 262 ident: b15 article-title: Homotopy perturbation technique publication-title: Comput Methods Appl Mech Engrg – volume: 2020 start-page: 1 year: 2020 end-page: 15 ident: b32 article-title: Existence and approximate controllability of Hilfer fractional evolution equations with almost sectorial operators publication-title: Adv Difference Equ – volume: 47 start-page: 121 year: 2023 ident: b12 article-title: A novel tuberculosis model incorporating a Caputo fractional derivative and treatment effect via the homotopy perturbation method publication-title: Bull Natl Res Cent – volume: 20 start-page: 384 year: 2018 ident: b43 article-title: Chaotic attractors with fractional conformable derivatives in the Liouville–Caputo sense and its dynamical behaviors publication-title: Entropy – volume: 2021 start-page: 183 year: 2021 ident: b37 article-title: A predator–prey model involving variable-order fractional differential equations with Mittag-Leffler kernel publication-title: Adv Differ Equ – volume: 127 start-page: 422 year: 2019 end-page: 427 ident: b29 article-title: Existence and Hyers-Ulam stability for a nonlinear singular fractional differential equation with Mittag-Leffler kernel publication-title: Chaos Solitons Fractals – volume: 2018 year: 2018 ident: b4 article-title: Complex dynamics of the fractional-order Rössler system and its tracking synchronization control publication-title: Complexity – volume: 1 start-page: 73 year: 2016 end-page: 85 ident: b27 article-title: A new defnition of fractional derivative without singular kernel publication-title: Prog Fract Difer Appl – volume: 2020 start-page: 1 year: 2020 end-page: 16 ident: b33 article-title: On stability analysis and existence of positive solutions for a general non-linear fractional differential equations publication-title: Adv Difference Equ – volume: 11 start-page: 81 year: 2021 ident: b40 article-title: Adaptive generalized synchronization between circuit and computer implementations of the Rössler system publication-title: Appl Sci – volume: 3 year: 2023 ident: b53 article-title: A Caputo fractional order epidemic model for evaluating the effectiveness of high-risk quarantine and vaccination strategies on the spread of COVID-19 publication-title: Healthc Anal – volume: 20 start-page: 106 year: 2023 end-page: 128 ident: b14 article-title: Extensive analysis and projection of the impact of high-risk immunity using a mathematical model that incorporates a convex incidence rate of multiple Covid-19 exposures publication-title: Cankaya Univ J Sci Eng – volume: 12 start-page: 93 year: 2023 ident: b23 article-title: The modified homotopy perturbation method and its application to the dynamics of price evolution in Caputo-fractional order Black Scholes model publication-title: Beni-Suef Univ J Basic Appl Sci – volume: 7 year: 2023 ident: b52 article-title: Dynamic analysis and control of a financial system with chaotic behavior including fractional order publication-title: Fractal Fractals – volume: 60 start-page: 3997 year: 2021 end-page: 4014 ident: b24 article-title: Introduction to the fractional-order chaotic system under fractional operator in Caputo sense publication-title: Alex Eng J – volume: 125 start-page: 108 year: 2019 end-page: 118 ident: b45 article-title: Black–Scholes option pricing equations described by the Caputo generalized fractional derivative publication-title: Chaos Solitons Fractals – volume: 2021 year: 2021 ident: b2 article-title: Chaotic dynamics and chaos control in a fractional-order satellite model and its time-delay counterpart publication-title: Discrete Dyn Nat Soc – volume: 50 year: 2023 ident: b5 article-title: Rossler’s system using piecewise derivative publication-title: Results Phys – volume: 3 year: 2023 ident: b10 article-title: A fractional order model of Lassa disease using the Laplace-Adomian decomposition method publication-title: Healthc Anal – volume: 113 start-page: 326 year: 2018 end-page: 332 ident: b41 article-title: Linear control for synchronization of a fractional-order time-delayed chaotic financial system publication-title: Chaos Solitons Fractals – volume: 132 year: 2020 ident: b47 article-title: Mathematical analysis for an autonomous financial dynamical system via classical and modern fractional operators publication-title: Chaos Solitons Fractals – volume: 8 start-page: 1211 year: 2018 end-page: 1226 ident: b30 article-title: Existence theorems and Hyers-Ulam stability for a class of hybrid fractional differential equations with P -Laplacian operator publication-title: J Appl Anal Comput – volume: 7 year: 2023 ident: b44 article-title: Chaos in fractional order financial model with fractal–fractional derivatives publication-title: Partial Differ Equ Appl Math – volume: 22 start-page: 1027 year: 2020 ident: b9 article-title: Modeling of chaotic processes with Caputo fractional order derivative publication-title: Entropy (Basel, Switzerland) – year: 2022 ident: b21 article-title: A case study of 2019-nCoV in Russia using integer and fractional order derivatives publication-title: Math Methods Appl Sci – volume: 61 start-page: 5123 year: 2022 end-page: 5131 ident: b46 article-title: On the analysis of Caputo fractional order dynamics of middle east lungs coronavirus (MERS-CoV) model publication-title: Alex Eng J – volume: 2 start-page: 1 year: 2014 end-page: 10 ident: b42 article-title: European option pricing of fractional Black–Scholes model with new Lagrange multipliers publication-title: Comput Methods Difer Equ – volume: 11 year: 2016 ident: b49 article-title: Complex generalized synchronization and parameter identification of nonidentical nonlinear complex systems publication-title: PLoS One – volume: 40 start-page: 4468 year: 2016 end-page: 4479 ident: b48 article-title: An adaptive method to parameter identification and synchronization of fractional-order chaotic systems with parameter uncertainty publication-title: Appl Math Model – volume: 60 start-page: 3641 year: 2021 end-page: 3647 ident: b34 article-title: Stability analysis of solutions and existence theory of fractional Lagevin equation publication-title: Alex Eng J – volume: 23 start-page: 424 year: 2015 end-page: 428 ident: b35 article-title: On the convergence of homotopy perturbation method publication-title: J Egypt Math Soc – volume: 12 start-page: 10 year: 2023 ident: b13 article-title: Conceptual analysis of the combined effects of vaccination, therapeutic actions, and human subjection to physical constraint in reducing the prevalence of covid-19 using the homotopy perturbation method publication-title: Beni-Suef Univ J Basic Appl Sci – volume: 111 start-page: 4915 year: 2023 end-page: 4929 ident: b20 article-title: Role of fractional derivatives in the mathematical modeling of the transmission of Chlamydia in the United States from 1989 to 2019 publication-title: Nonlinear Dyn – start-page: 1 year: 2020 end-page: 30 ident: b8 article-title: New chaotic attractors: Application of fractal-fractional differentation and integration publication-title: Math Methods Appl Sci – volume: 367 start-page: 199 year: 2007 end-page: 206 ident: b50 article-title: Adaptive generalized projective synchronization in different chaotic systems based on parameter identification publication-title: Phys Lett A – volume: 10 start-page: 1727 year: 2017 end-page: 1737 ident: b17 article-title: Approximate analytical solutions for the Black–Scholes equation by homotopy perturbation method publication-title: Contemp Eng Sci – volume: 57 start-page: 397 year: 1976 end-page: 398 ident: b1 article-title: An equation for continuous chaos publication-title: Phys Lett A – volume: 10 start-page: 584 year: 2020 end-page: 597 ident: b31 article-title: Stability results and existence theorems for nonlinear delay-fractional differential equations with publication-title: J Appl Anal Comput – volume: 20 start-page: 763 year: 2016 end-page: 769 ident: b28 article-title: New fractional derivatives with non-local and nonsingular kernel theory and application to heat transfer model publication-title: Therm Sci – volume: 31 start-page: 175 year: 2021 end-page: 190 ident: b18 article-title: Approximate analytical methods for the solution of fractional order integro-diferential equations publication-title: Niger J Math Appl – year: 2023 ident: b54 article-title: A fractional-order mathematical model for examining the spatiotemporal spread of COVID-19 in the presence of vaccine distribution publication-title: Healthc Anal – volume: 2020 year: 2020 ident: b3 article-title: A financial chaotic system control method based on intermittent controller publication-title: Math Probl Eng – volume: 31 start-page: 175 issue: 2021 year: 2021 ident: 10.1016/j.rico.2023.100349_b18 article-title: Approximate analytical methods for the solution of fractional order integro-diferential equations publication-title: Niger J Math Appl – start-page: 14 year: 1969 ident: 10.1016/j.rico.2023.100349_b26 – volume: 2 start-page: 1 issue: 1 year: 2014 ident: 10.1016/j.rico.2023.100349_b42 article-title: European option pricing of fractional Black–Scholes model with new Lagrange multipliers publication-title: Comput Methods Difer Equ – volume: 125 start-page: 108 issn: 0960-0779 year: 2019 ident: 10.1016/j.rico.2023.100349_b45 article-title: Black–Scholes option pricing equations described by the Caputo generalized fractional derivative publication-title: Chaos Solitons Fractals doi: 10.1016/j.chaos.2019.05.024 – volume: 10 start-page: 1727 issue: 35 year: 2017 ident: 10.1016/j.rico.2023.100349_b17 article-title: Approximate analytical solutions for the Black–Scholes equation by homotopy perturbation method publication-title: Contemp Eng Sci doi: 10.12988/ces.2017.712197 – volume: 7 issn: 2666-8181 year: 2023 ident: 10.1016/j.rico.2023.100349_b44 article-title: Chaos in fractional order financial model with fractal–fractional derivatives publication-title: Partial Differ Equ Appl Math doi: 10.1016/j.padiff.2023.100502 – volume: 428 issn: 0096-3003 year: 2022 ident: 10.1016/j.rico.2023.100349_b7 article-title: Effective computational discretization scheme for nonlinear dynamical systems publication-title: Appl Math Comput doi: 10.1016/j.amc.2022.127207 – volume: 22 start-page: 1027 issue: 9 year: 2020 ident: 10.1016/j.rico.2023.100349_b9 article-title: Modeling of chaotic processes with Caputo fractional order derivative publication-title: Entropy (Basel, Switzerland) doi: 10.3390/e22091027 – volume: 10 start-page: 584 year: 2020 ident: 10.1016/j.rico.2023.100349_b31 article-title: Stability results and existence theorems for nonlinear delay-fractional differential equations with φ P -operator publication-title: J Appl Anal Comput – volume: 146 year: 2021 ident: 10.1016/j.rico.2023.100349_b39 article-title: A fractional order zika virus model with Mittag–Leffler kernel publication-title: Chaos Solitons Fractals doi: 10.1016/j.chaos.2021.110898 – volume: 127 start-page: 422 year: 2019 ident: 10.1016/j.rico.2023.100349_b29 article-title: Existence and Hyers-Ulam stability for a nonlinear singular fractional differential equation with Mittag-Leffler kernel publication-title: Chaos Solitons Fractals doi: 10.1016/j.chaos.2019.07.026 – start-page: 1 year: 2020 ident: 10.1016/j.rico.2023.100349_b8 article-title: New chaotic attractors: Application of fractal-fractional differentation and integration publication-title: Math Methods Appl Sci – volume: 11 start-page: 139 year: 2022 ident: 10.1016/j.rico.2023.100349_b19 article-title: Modified homotopy perturbation method and its application to analytical solitons of fractional-order Korteweg–de Vries equation publication-title: Beni-Suef Univ J Basic Appl Sci doi: 10.1186/s43088-022-00317-w – volume: 2018 year: 2018 ident: 10.1016/j.rico.2023.100349_b4 article-title: Complex dynamics of the fractional-order Rössler system and its tracking synchronization control publication-title: Complexity doi: 10.1155/2018/4019749 – volume: 7 issue: 535 year: 2023 ident: 10.1016/j.rico.2023.100349_b52 article-title: Dynamic analysis and control of a financial system with chaotic behavior including fractional order publication-title: Fractal Fractals – volume: 23 start-page: 424 issn: 1110-256X issue: 2 year: 2015 ident: 10.1016/j.rico.2023.100349_b35 article-title: On the convergence of homotopy perturbation method publication-title: J Egypt Math Soc doi: 10.1016/j.joems.2014.06.015 – volume: 113 start-page: 326 year: 2018 ident: 10.1016/j.rico.2023.100349_b41 article-title: Linear control for synchronization of a fractional-order time-delayed chaotic financial system publication-title: Chaos Solitons Fractals doi: 10.1016/j.chaos.2018.05.022 – volume: 20 start-page: 763 year: 2016 ident: 10.1016/j.rico.2023.100349_b28 article-title: New fractional derivatives with non-local and nonsingular kernel theory and application to heat transfer model publication-title: Therm Sci doi: 10.2298/TSCI160111018A – volume: 40 start-page: 4468 year: 2016 ident: 10.1016/j.rico.2023.100349_b48 article-title: An adaptive method to parameter identification and synchronization of fractional-order chaotic systems with parameter uncertainty publication-title: Appl Math Model doi: 10.1016/j.apm.2015.11.033 – volume: 60 start-page: 3641 issue: 4 year: 2021 ident: 10.1016/j.rico.2023.100349_b34 article-title: Stability analysis of solutions and existence theory of fractional Lagevin equation publication-title: Alex Eng J doi: 10.1016/j.aej.2021.02.011 – volume: 11 start-page: 144 issue: 1 year: 2022 ident: 10.1016/j.rico.2023.100349_b11 article-title: Mathematical analysis of fractional-order Caputo’s derivative of coronavirus disease model via Laplace Adomian decomposition method publication-title: Beni-Suef Univ J Basic Appl Sci doi: 10.1186/s43088-022-00326-9 – volume: 13 start-page: 71 year: 1832 ident: 10.1016/j.rico.2023.100349_b25 article-title: Mémoire sur le calcul des diférentielles à indices quelconques publication-title: J l’École Polytech – volume: 11 year: 2016 ident: 10.1016/j.rico.2023.100349_b49 article-title: Complex generalized synchronization and parameter identification of nonidentical nonlinear complex systems publication-title: PLoS One – volume: 127 start-page: 10643 year: 2016 ident: 10.1016/j.rico.2023.100349_b55 article-title: Analysis and circuit simulation of a novel nonlinear fractional incommensurate order financial system publication-title: Optik doi: 10.1016/j.ijleo.2016.08.098 – volume: 20 start-page: 106 issue: 2 year: 2023 ident: 10.1016/j.rico.2023.100349_b14 article-title: Extensive analysis and projection of the impact of high-risk immunity using a mathematical model that incorporates a convex incidence rate of multiple Covid-19 exposures publication-title: Cankaya Univ J Sci Eng – volume: 1 start-page: 73 issue: 2 year: 2016 ident: 10.1016/j.rico.2023.100349_b27 article-title: A new defnition of fractional derivative without singular kernel publication-title: Prog Fract Difer Appl – volume: 8 start-page: 1211 issue: 4 year: 2018 ident: 10.1016/j.rico.2023.100349_b30 article-title: Existence theorems and Hyers-Ulam stability for a class of hybrid fractional differential equations with P -Laplacian operator publication-title: J Appl Anal Comput – volume: 132 issn: 0960-0779 year: 2020 ident: 10.1016/j.rico.2023.100349_b47 article-title: Mathematical analysis for an autonomous financial dynamical system via classical and modern fractional operators publication-title: Chaos Solitons Fractals doi: 10.1016/j.chaos.2019.109552 – volume: 20 start-page: 384 issue: 5 year: 2018 ident: 10.1016/j.rico.2023.100349_b43 article-title: Chaotic attractors with fractional conformable derivatives in the Liouville–Caputo sense and its dynamical behaviors publication-title: Entropy doi: 10.3390/e20050384 – volume: 47 start-page: 121 issue: 1 year: 2023 ident: 10.1016/j.rico.2023.100349_b12 article-title: A novel tuberculosis model incorporating a Caputo fractional derivative and treatment effect via the homotopy perturbation method publication-title: Bull Natl Res Cent doi: 10.1186/s42269-023-01091-0 – volume: 60 start-page: 3997 issn: 1110-0168 issue: 4 year: 2021 ident: 10.1016/j.rico.2023.100349_b24 article-title: Introduction to the fractional-order chaotic system under fractional operator in Caputo sense publication-title: Alex Eng J doi: 10.1016/j.aej.2021.02.056 – volume: 178 start-page: 257 year: 1999 ident: 10.1016/j.rico.2023.100349_b15 article-title: Homotopy perturbation technique publication-title: Comput Methods Appl Mech Engrg doi: 10.1016/S0045-7825(99)00018-3 – volume: 111 start-page: 4915 year: 2023 ident: 10.1016/j.rico.2023.100349_b20 article-title: Role of fractional derivatives in the mathematical modeling of the transmission of Chlamydia in the United States from 1989 to 2019 publication-title: Nonlinear Dyn doi: 10.1007/s11071-022-08073-3 – volume: 57 start-page: 397 issue: 5 year: 1976 ident: 10.1016/j.rico.2023.100349_b1 article-title: An equation for continuous chaos publication-title: Phys Lett A doi: 10.1016/0375-9601(76)90101-8 – volume: 4 issue: 43 year: 2020 ident: 10.1016/j.rico.2023.100349_b22 article-title: Analysis of fractional order chaotic financial model with minimum interest rate impact publication-title: Fractal Fractals – volume: 2021 year: 2021 ident: 10.1016/j.rico.2023.100349_b2 article-title: Chaotic dynamics and chaos control in a fractional-order satellite model and its time-delay counterpart publication-title: Discrete Dyn Nat Soc doi: 10.1155/2021/5542908 – volume: 30 start-page: 1 issue: 1 year: 2018 ident: 10.1016/j.rico.2023.100349_b16 article-title: Homotopy perturbation transform method for pricing under pure diffusion models with affine coefficients publication-title: J King Saud Univ - Sci doi: 10.1016/j.jksus.2016.09.004 – volume: 161 year: 2022 ident: 10.1016/j.rico.2023.100349_b36 article-title: A novel mathematical model to describe the transmission dynamics of tooth cavity in the human population publication-title: Chaos Solitons Fractals doi: 10.1016/j.chaos.2022.112370 – volume: 367 start-page: 199 year: 2007 ident: 10.1016/j.rico.2023.100349_b50 article-title: Adaptive generalized projective synchronization in different chaotic systems based on parameter identification publication-title: Phys Lett A doi: 10.1016/j.physleta.2007.03.025 – volume: 2021 start-page: 183 year: 2021 ident: 10.1016/j.rico.2023.100349_b37 article-title: A predator–prey model involving variable-order fractional differential equations with Mittag-Leffler kernel publication-title: Adv Differ Equ doi: 10.1186/s13662-021-03340-w – volume: 3 year: 2023 ident: 10.1016/j.rico.2023.100349_b53 article-title: A Caputo fractional order epidemic model for evaluating the effectiveness of high-risk quarantine and vaccination strategies on the spread of COVID-19 publication-title: Healthc Anal – volume: 2020 start-page: 1 issue: 1 year: 2020 ident: 10.1016/j.rico.2023.100349_b33 article-title: On stability analysis and existence of positive solutions for a general non-linear fractional differential equations publication-title: Adv Difference Equ doi: 10.1186/s13662-020-02729-3 – year: 2022 ident: 10.1016/j.rico.2023.100349_b21 article-title: A case study of 2019-nCoV in Russia using integer and fractional order derivatives publication-title: Math Methods Appl Sci – volume: 50 issn: 2211-3797 year: 2023 ident: 10.1016/j.rico.2023.100349_b5 article-title: Rossler’s system using piecewise derivative publication-title: Results Phys doi: 10.1016/j.rinp.2023.106555 – volume: 12 start-page: 10 issue: 1 year: 2023 ident: 10.1016/j.rico.2023.100349_b13 article-title: Conceptual analysis of the combined effects of vaccination, therapeutic actions, and human subjection to physical constraint in reducing the prevalence of covid-19 using the homotopy perturbation method publication-title: Beni-Suef Univ J Basic Appl Sci doi: 10.1186/s43088-023-00343-2 – volume: 3 year: 2023 ident: 10.1016/j.rico.2023.100349_b10 article-title: A fractional order model of Lassa disease using the Laplace-Adomian decomposition method publication-title: Healthc Anal – volume: 2020 start-page: 1 issue: 1 year: 2020 ident: 10.1016/j.rico.2023.100349_b32 article-title: Existence and approximate controllability of Hilfer fractional evolution equations with almost sectorial operators publication-title: Adv Difference Equ doi: 10.1186/s13662-020-03074-1 – volume: 113 start-page: 326 year: 2018 ident: 10.1016/j.rico.2023.100349_b56 article-title: Linear control for synchronization of a fractional-order time-delayed chaotic financial system publication-title: Chaos Solitons Fractals doi: 10.1016/j.chaos.2018.05.022 – year: 2023 ident: 10.1016/j.rico.2023.100349_b54 article-title: A fractional-order mathematical model for examining the spatiotemporal spread of COVID-19 in the presence of vaccine distribution publication-title: Healthc Anal doi: 10.1016/j.health.2023.100230 – volume: 126 start-page: 66 issn: 0960-0779 year: 2019 ident: 10.1016/j.rico.2023.100349_b6 article-title: A financial hyperchaotic system with coexisting attractors: Dynamic investigation, entropy analysis, control and synchronization publication-title: Chaos, Solitons Fractals doi: 10.1016/j.chaos.2019.05.023 – volume: 11 start-page: 81 year: 2021 ident: 10.1016/j.rico.2023.100349_b40 article-title: Adaptive generalized synchronization between circuit and computer implementations of the Rössler system publication-title: Appl Sci doi: 10.3390/app11010081 – volume: 61 start-page: 5123 issn: 1110-0168 issue: 7 year: 2022 ident: 10.1016/j.rico.2023.100349_b46 article-title: On the analysis of Caputo fractional order dynamics of middle east lungs coronavirus (MERS-CoV) model publication-title: Alex Eng J doi: 10.1016/j.aej.2021.10.016 – volume: 2020 year: 2020 ident: 10.1016/j.rico.2023.100349_b3 article-title: A financial chaotic system control method based on intermittent controller publication-title: Math Probl Eng doi: 10.1155/2020/5810707 – volume: 42 year: 2020 ident: 10.1016/j.rico.2023.100349_b38 article-title: Optimal control problems with Atangana-Baleanu fractional derivative publication-title: Optim Control Appl Methods – volume: 2020 year: 2020 ident: 10.1016/j.rico.2023.100349_b51 article-title: Analysis of the financial chaotic model with the fractional derivative operator publication-title: Complexity doi: 10.1155/2020/9845031 – volume: 12 start-page: 93 year: 2023 ident: 10.1016/j.rico.2023.100349_b23 article-title: The modified homotopy perturbation method and its application to the dynamics of price evolution in Caputo-fractional order Black Scholes model publication-title: Beni-Suef Univ J Basic Appl Sci doi: 10.1186/s43088-023-00433-1 |
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