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A novel formulation of the fuzzy hybrid transform for dealing nonlinear partial differential equations via fuzzy fractional derivative involving general order

dc.contributor.authorAlqurashi, M.S.
dc.contributor.authorRashid, Saima
dc.contributor.authorKanwal, Bushra
dc.contributor.authorJarad, Fahd
dc.contributor.authorElagan, S.K.
dc.contributor.authorID234808tr_TR
dc.date.accessioned2024-02-12T13:07:14Z
dc.date.available2024-02-12T13:07:14Z
dc.date.issued2022
dc.departmentÇankaya Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractThe main objective of the investigation is to broaden the description of Caputo fractional derivatives (in short, CFDs) (of order 0 < α < r) considering all relevant permutations of entities involving t1 equal to 1 and t2 (the others) equal to 2 via fuzzifications. Under gH-differentiability, we also construct fuzzy Elzaki transforms for CFDs for the generic fractional order α ∈ (r − 1, r). Furthermore, a novel decomposition method for obtaining the solutions to nonlinear fuzzy fractional partial differential equations (PDEs) via the fuzzy Elzaki transform is constructed. The aforesaid scheme is a novel correlation of the fuzzy Elzaki transform and the Adomian decomposition method. In terms of CFD, several new results for the general fractional order are obtained via gH-differentiability. By considering the triangular fuzzy numbers of a nonlinear fuzzy fractional PDE, the correctness and capabilities of the proposed algorithm are demonstrated. In the domain of fractional sense, the schematic representation and tabulated outcomes indicate that the algorithm technique is precise and straightforward. Subsequently, future directions and concluding remarks are acted upon with the most focused use of references.en_US
dc.identifier.citationAlqurashi, M.S.;...et.al. (2022). "A novel formulation of the fuzzy hybrid transform for dealing nonlinear partial differential equations via fuzzy fractional derivative involving general order", AIMS Mathematics, Vol.7, No.8, pp.14946-14974.en_US
dc.identifier.doi10.3934/math.2022819
dc.identifier.endpage14974en_US
dc.identifier.issn24736988
dc.identifier.issue8en_US
dc.identifier.startpage14946en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/7174
dc.identifier.volume7en_US
dc.language.isoenen_US
dc.relation.ispartofAIMS Mathematicsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectAdomian Decomposition Methoden_US
dc.subjectCaputo Fractional Derivativeen_US
dc.subjectElzaki Transformen_US
dc.subjectFuzzy Set Theoryen_US
dc.subjectNonlinear Partial Differential Equationen_US
dc.titleA novel formulation of the fuzzy hybrid transform for dealing nonlinear partial differential equations via fuzzy fractional derivative involving general ordertr_TR
dc.titleA Novel Formulation of the Fuzzy Hybrid Transform for Dealing Nonlinear Partial Differential Equations Via Fuzzy Fractional Derivative Involving General Orderen_US
dc.typeArticleen_US
dspace.entity.typePublication

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