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On fuzzy volterra-fredholm integrodifferential equation associated with hilfer-generalized proportional fractional derivative

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dc.contributor.author Rashid, Saima
dc.contributor.author Jarad, Fahd
dc.contributor.author Abualnaja, Khadijah M.
dc.date.accessioned 2022-10-11T11:47:40Z
dc.date.available 2022-10-11T11:47:40Z
dc.date.issued 2021
dc.identifier.citation Rashid, Saima; Jarad, Fahd; Abualnaja, Khadijah M. (2021). "On fuzzy volterra-fredholm integrodifferential equation associated with hilfer-generalized proportional fractional derivative", Vol. 6, No. 10, pp. 10920-10946. tr_TR
dc.identifier.issn 2473-6988
dc.identifier.uri http://hdl.handle.net/20.500.12416/5830
dc.description.abstract This investigation communicates with an initial value problem (IVP) of Hilfer-generalized proportional fractional (GPF) differential equations in the fuzzy framework is deliberated. By means of the Hilfer-GPF operator, we employ the methodology of successive approximation under the generalized Lipschitz condition. Based on the proposed derivative, the fractional Volterra-Fredholm integrodifferential equations (F VF IEs) via generalized fuzzy Hilfer-GPF Hukuhara differentiability (HD) having fuzzy initial conditions are investigated. Moreover, the existence of the solution is proposed by employing the fixed-point formulation. The uniqueness of the solution is verified. Furthermore, we derived the equivalent form of fuzzy F VF IEs which is supposed to demonstrate the convergence of this group of equations. Two appropriate examples are presented for illustrative purposes. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.3934/math.2021635 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Fuzzy Fractional Derivative Operators tr_TR
dc.subject Fuzzy Fractional Volterra-Fredholm Intgro-Differential Equation tr_TR
dc.subject Generalized Hukuhara Differentiability tr_TR
dc.subject Hilfer Generalized Proportional Fractional Derivative Operator tr_TR
dc.title On fuzzy volterra-fredholm integrodifferential equation associated with hilfer-generalized proportional fractional derivative tr_TR
dc.type article tr_TR
dc.relation.journal AIMS Mathematics tr_TR
dc.contributor.authorID 234808 tr_TR
dc.identifier.volume 6 tr_TR
dc.identifier.issue 10 tr_TR
dc.identifier.startpage 10920 tr_TR
dc.identifier.endpage 10946 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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