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Qualitative analysis of a fuzzy Volterra-Fredholm integrodifferential equation with an Atangana-Baleanu fractional derivative

dc.contributor.authorAlmalahi, Mohammed A.
dc.contributor.authorPanchal, Satish K.
dc.contributor.authorJarad, Fahd
dc.contributor.authorAbdo, Mohammed S.
dc.contributor.authorShah, Kamal
dc.contributor.authorAbdeljawad, Thabet
dc.contributor.authorID234808tr_TR
dc.date.accessioned2024-05-08T11:07:34Z
dc.date.available2024-05-08T11:07:34Z
dc.date.issued2022
dc.departmentÇankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractThe point of this work was to analyze and investigate the sufficient conditions of the existence and uniqueness of solutions for the nonlinear fuzzy fractional Volterra Fredholm integrodifferential equation in the frame of the Atangana-Baleanu-Caputo fractional derivative methodology. To begin with, we give the parametric interval form of the Atangana-Baleanu-Caputo fractional derivative on fuzzy set-valued functions. Then, by employing Schauder’s and Banach’s fixed point procedures, we examine the existence and uniqueness of solutions for fuzzy fractional Volterra Fredholm integro-differential equation with the Atangana-Baleanu-Caputo fractional operator. It turns out that the last interval model is a combined arrangement of nonlinear equations. In addition, we consider results by applying the Adams Bashforth fractional technique and present two examples that have been numerically solved using graphs.en_US
dc.identifier.citationAlmalahi, Mohammed A.;...et.al. (2022). "Qualitative analysis of a fuzzy Volterra-Fredholm integrodifferential equation with an Atangana-Baleanu fractional derivative", AIMS Mathematics, Vol.7, No.9, pp.15994-16016.en_US
dc.identifier.doi10.3934/math.2022876
dc.identifier.endpage16016en_US
dc.identifier.issn24736988
dc.identifier.issue9en_US
dc.identifier.startpage15994en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/8220
dc.identifier.volume7en_US
dc.language.isoenen_US
dc.relation.ispartofAIMS Mathematicsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectAtangana Baleanu Fractional Derivativeen_US
dc.subjectFixed Point Theoremen_US
dc.subjectFractional Differential Equationsen_US
dc.subjectFuzzy Fractional Derivativesen_US
dc.subjectFuzzy Valued Functionsen_US
dc.subjectGeneralized Hukuhara Differentiabilityen_US
dc.titleQualitative analysis of a fuzzy Volterra-Fredholm integrodifferential equation with an Atangana-Baleanu fractional derivativetr_TR
dc.titleQualitative Analysis of a Fuzzy Volterra-Fredholm Integrodifferential Equation With an Atangana-Baleanu Fractional Derivativeen_US
dc.typeArticleen_US
dspace.entity.typePublication

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