On fuzzy volterra-fredholm integrodifferential equation associated with hilfer-generalized proportional fractional derivative
dc.contributor.author | Rashid, Saima | |
dc.contributor.author | Jarad, Fahd | |
dc.contributor.author | Abualnaja, Khadijah M. | |
dc.contributor.authorID | 234808 | tr_TR |
dc.date.accessioned | 2022-10-11T11:47:40Z | |
dc.date.available | 2022-10-11T11:47:40Z | |
dc.date.issued | 2021 | |
dc.department | Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü | en_US |
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. | en_US |
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. | en_US |
dc.identifier.doi | 10.3934/math.2021635 | |
dc.identifier.endpage | 10946 | en_US |
dc.identifier.issn | 2473-6988 | |
dc.identifier.issue | 10 | en_US |
dc.identifier.startpage | 10920 | en_US |
dc.identifier.uri | http://hdl.handle.net/20.500.12416/5830 | |
dc.identifier.volume | 6 | en_US |
dc.language.iso | en | en_US |
dc.relation.ispartof | AIMS Mathematics | en_US |
dc.rights | info:eu-repo/semantics/openAccess | en_US |
dc.subject | Fuzzy Fractional Derivative Operators | en_US |
dc.subject | Fuzzy Fractional Volterra-Fredholm Intgro-Differential Equation | en_US |
dc.subject | Generalized Hukuhara Differentiability | en_US |
dc.subject | Hilfer Generalized Proportional Fractional Derivative Operator | en_US |
dc.title | On fuzzy volterra-fredholm integrodifferential equation associated with hilfer-generalized proportional fractional derivative | tr_TR |
dc.title | On Fuzzy Volterra-Fredholm Integrodifferential Equation Associated With Hilfer-Generalized Proportional Fractional Derivative | en_US |
dc.type | Article | en_US |
dspace.entity.type | Publication |