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An analytic study on the approximate solution of a nonlinear time-fractional Cauchy reaction-diffusion equation with the Mittag-Leffler law

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dc.contributor.author Hosseini, Kamyar
dc.contributor.author Ilie, Mousa
dc.contributor.author Mirzazadeh, Mohammad
dc.contributor.author Baleanu, Dumitru
dc.date.accessioned 2022-03-11T13:52:42Z
dc.date.available 2022-03-11T13:52:42Z
dc.date.issued 2021-05-30
dc.identifier.citation Hosseini, Kamyar...et al. (2021). "An analytic study on the approximate solution of a nonlinear time-fractional Cauchy reaction-diffusion equation with the Mittag-Leffler law", Mathematical Methods in the Applied Sciences, Vol. 44, no. 8, pp. 6247-6258. tr_TR
dc.identifier.issn 0170-4214
dc.identifier.uri http://hdl.handle.net/20.500.12416/5113
dc.description.abstract The main aim of the current article is considering a nonlinear time-fractional Cauchy reaction-diffusion equation with the Mittag-Leffler law and deriving its approximate analytical solution in a systematic way. More precisely, after reformulating the nonlinear time-fractional Cauchy reaction-diffusion equation with the Mittag-Leffler law, its approximate analytical solution is derived formally through the use of the homotopy analysis transform method (HATM) which is based on the homotopy method and the Laplace transform. The existence and uniqueness of the solution of the nonlinear time-fractional Cauchy reaction-diffusion equation with the Mittag-Leffler law are also studied by adopting the fixed-point theorem. In the end, by considering some two- and three-dimensional graphs, the influence of the order of time-fractional operator on the displacement is examined in detail. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.1002/mma.7059 tr_TR
dc.rights info:eu-repo/semantics/closedAccess tr_TR
dc.subject Approximate Analytical Solution tr_TR
dc.subject Existence and Uniqueness of the Solution tr_TR
dc.subject Fixed-Point Theorem,Homotopy Analysis Transform Method tr_TR
dc.subject Mittag–Leffler Law tr_TR
dc.subject Nonlinear Time-Fractional Cauchyreaction–Diffusion Equation tr_TR
dc.title An analytic study on the approximate solution of a nonlinear time-fractional Cauchy reaction-diffusion equation with the Mittag-Leffler law tr_TR
dc.type article tr_TR
dc.relation.journal Mathematical Methods in the Applied Sciences tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 44 tr_TR
dc.identifier.issue 8 tr_TR
dc.identifier.startpage 6247 tr_TR
dc.identifier.endpage 6258 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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