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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

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dc.contributor.author Alqurashi, M.S.
dc.contributor.author Rashid, Saima
dc.contributor.author Kanwal, Bushra
dc.contributor.author Jarad, Fahd
dc.contributor.author Elagan, S.K.
dc.date.accessioned 2024-02-12T13:07:14Z
dc.date.available 2024-02-12T13:07:14Z
dc.date.issued 2022
dc.identifier.citation Alqurashi, 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. tr_TR
dc.identifier.issn 24736988
dc.identifier.uri http://hdl.handle.net/20.500.12416/7174
dc.description.abstract The 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. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.3934/math.2022819 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Adomian Decomposition Method tr_TR
dc.subject Caputo Fractional Derivative tr_TR
dc.subject Elzaki Transform tr_TR
dc.subject Fuzzy Set Theory tr_TR
dc.subject Nonlinear Partial Differential Equation tr_TR
dc.title A novel formulation of the fuzzy hybrid transform for dealing nonlinear partial differential equations via fuzzy fractional derivative involving general order tr_TR
dc.type article tr_TR
dc.relation.journal AIMS Mathematics tr_TR
dc.contributor.authorID 234808 tr_TR
dc.identifier.volume 7 tr_TR
dc.identifier.issue 8 tr_TR
dc.identifier.startpage 14946 tr_TR
dc.identifier.endpage 14974 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bölümü tr_TR


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