Innovative techniques to chaotic dynamics and kinetic differ-integral equations

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dc.contributor.authorMehmood, Ahsan
dc.contributor.authorLiu, Zhi-Guo
dc.contributor.authorSamraiz, Muhammad
dc.contributor.authorUsta, Fuat
dc.contributor.authorArjika, Sama
dc.date.accessioned2025-10-11T20:48:22Z
dc.date.available2025-10-11T20:48:22Z
dc.date.issued2025
dc.departmentDüzce Üniversitesien_US
dc.description.abstractIn this work, we analyse advancements in chaotic modelling by applying a modified version of the Atangana-Baleanu Caputo (MABC) fractional derivative operator (FDO) with respect to another function within a mathematical model (MMd). We employ an iterative method and fixed-point theory to verify the existence of a unique solution for this model. Additionally, due to the high non-linearity of the problem, we apply an appropriate numerical scheme to solve this system of equations computationally. Graphical representations illustrate the convergence of solutions within the chaotic model. To test the versatility of the modified Atangana-Baleanu Riemann (MABR) FDO, we generalize a kinetic differ-integral equation and compute its solution. The main contribution of our research is the construction of a chaotic model with the MABC FDO and a non-local, nonlinear kernel. Utilizing advanced numerical methods, we transform the non-local kernel into its local counterpart in order to obtain efficient and accurate solutions.en_US
dc.identifier.doi10.1080/13873954.2025.2490515
dc.identifier.issn1387-3954
dc.identifier.issn1744-5051
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-105005064049en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.urihttps://doi.org/10.1080/13873954.2025.2490515
dc.identifier.urihttps://hdl.handle.net/20.500.12684/21868
dc.identifier.volume31en_US
dc.identifier.wosWOS:001487394000001en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherTaylor & Francis Incen_US
dc.relation.ispartofMathematicaland Computer Modelling of Dynamical Systemsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.snmzKA_WOS_20250911
dc.subjectExtended fractional derivativeen_US
dc.subjectchaotic modelen_US
dc.subjectfractional kinetic differ-integral equationen_US
dc.titleInnovative techniques to chaotic dynamics and kinetic differ-integral equationsen_US
dc.typeArticleen_US

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