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

dc.contributor.authorRashid, Saima
dc.contributor.authorJarad, Fahd
dc.contributor.authorAbualnaja, Khadijah M.
dc.contributor.authorID234808tr_TR
dc.date.accessioned2022-10-11T11:47:40Z
dc.date.available2022-10-11T11:47:40Z
dc.date.issued2021
dc.departmentÇankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractThis 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.en_US
dc.identifier.citationRashid, 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.en_US
dc.identifier.doi10.3934/math.2021635
dc.identifier.endpage10946en_US
dc.identifier.issn2473-6988
dc.identifier.issue10en_US
dc.identifier.startpage10920en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/5830
dc.identifier.volume6en_US
dc.language.isoenen_US
dc.relation.ispartofAIMS Mathematicsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectFuzzy Fractional Derivative Operatorsen_US
dc.subjectFuzzy Fractional Volterra-Fredholm Intgro-Differential Equationen_US
dc.subjectGeneralized Hukuhara Differentiabilityen_US
dc.subjectHilfer Generalized Proportional Fractional Derivative Operatoren_US
dc.titleOn fuzzy volterra-fredholm integrodifferential equation associated with hilfer-generalized proportional fractional derivativetr_TR
dc.titleOn Fuzzy Volterra-Fredholm Integrodifferential Equation Associated With Hilfer-Generalized Proportional Fractional Derivativeen_US
dc.typeArticleen_US
dspace.entity.typePublication

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