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The nonlocal coupled system of Caputo–Fabrizio fractional q-integro differential equation

dc.contributor.authorAli, Khalid K.
dc.contributor.authorRaslan, K.R.
dc.contributor.authorIbrahim, Amira Abd-Elall
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorID56389tr_TR
dc.date.accessioned2024-01-24T11:54:36Z
dc.date.available2024-01-24T11:54:36Z
dc.date.issued2023
dc.departmentÇankaya Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractThis scheme's main goal is to examine the existence, uniqueness, and continuous dependence of solutions for a nonlinear coupled system of fractional q-integro-differential equations involving the derivation and integration of fractional Caputo–Fabrizio. The numerical technique methodology of the proposed problem will be introduced. Proving the existence theorem depends on Schauder's fixed-point theorem. To drive the numerical method, we use the definitions of the fractional derivative and integral of Caputo–Fabrizio and the q-integral of the Riemann–Liouville type. Then, the integral part will be treated using the trapezoidal method, and the derivative part will be treated using the forward finite difference method. And therefore, the coupled system will be converted into a system of algebraic equation that will be solved together to get the solutions. Finally, we give two examples to illustrate the effectiveness of the suggested approach.en_US
dc.identifier.citationAli, Khalid K.;...et.al. (2023). "The nonlocal coupled system of Caputo–Fabrizio fractional q-integro differential equation", Mathematical Methods in the Applied Sciences.en_US
dc.identifier.doi10.1002/mma.9646
dc.identifier.issn1704214
dc.identifier.urihttp://hdl.handle.net/20.500.12416/6965
dc.language.isoenen_US
dc.relation.ispartofMathematical Methods in the Applied Sciencesen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectCaputo-Fabrizio Fractionalen_US
dc.subjectNonlocal Coupled Systemen_US
dc.subjectQ-İntegro Differential Equationen_US
dc.titleThe nonlocal coupled system of Caputo–Fabrizio fractional q-integro differential equationtr_TR
dc.titleThe Nonlocal Coupled System of Caputo–fabrizio Fractional Q-Integro Differential Equationen_US
dc.typeArticleen_US
dspace.entity.typePublication

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