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Analysis of differential equations involving Caputo-Fabrizio fractional operator and its applications to reaction-diffusion equations

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dc.contributor.author Shaikh, Amjad
dc.contributor.author Tassaddiq, Asifa
dc.contributor.author Nisar, Kottakkaran Sooppy
dc.contributor.author Baleanu, Dumitru
dc.date.accessioned 2020-01-03T12:09:37Z
dc.date.available 2020-01-03T12:09:37Z
dc.date.issued 2019-05-09
dc.identifier.citation Shaikh, Amjad...et al. (2019). Analysis of differential equations involving Caputo-Fabrizio fractional operator and its applications to reaction-diffusion equations", Advances in Difference Equations. tr_TR
dc.identifier.issn 1687-1847
dc.identifier.uri http://hdl.handle.net/20.500.12416/2327
dc.description.abstract This manuscript deals with fractional differential equations including Caputo-Fabrizio differential operator. The conditions for existence and uniqueness of solutions of fractional initial value problems is established using fixed point theorem and contraction principle, respectively. As an application, the iterative Laplace transform method (ILTM) is used to get an approximate solutions for nonlinear fractional reaction-diffusion equations, namely the Fitzhugh-Nagumo equation and the Fisher equation in the Caputo-Fabrizio sense. The obtained approximate solutions are compared with other available solutions from existing methods by using graphical representations and numerical computations. The results reveal that the proposed method is most suitable in terms of computational cost efficiency, and accuracy which can be applied to find solutions of nonlinear fractional reaction-diffusion equations. tr_TR
dc.language.iso eng tr_TR
dc.publisher Springer Open tr_TR
dc.relation.isversionof 10.1186/s13662-019-2115-3 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Caputo-Fabrizio Derivative Operator tr_TR
dc.subject Existence and Uniqueness tr_TR
dc.subject Fixed Point Theorem tr_TR
dc.subject Iterative Laplace Transform Method tr_TR
dc.subject Approximate Solutions tr_TR
dc.title Analysis of differential equations involving Caputo-Fabrizio fractional operator and its applications to reaction-diffusion equations tr_TR
dc.type article tr_TR
dc.relation.journal Advances in Difference Equations tr_TR
dc.contributor.authorID 56389 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik - Bilgisayar Bölümü tr_TR


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