A modified analytical approach with existence and uniqueness for fractional Cauchy reaction-diffusion equations
dc.contributor.author | Kumar, Sunil | |
dc.contributor.author | Kumar, Amit | |
dc.contributor.author | Abbas, Syed | |
dc.contributor.author | Al Qurashi, Maysaa | |
dc.contributor.author | Baleanu, Dumitru | |
dc.contributor.authorID | 56389 | tr_TR |
dc.date.accessioned | 2021-02-03T12:14:41Z | |
dc.date.available | 2021-02-03T12:14:41Z | |
dc.date.issued | 2020 | |
dc.department | Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü | en_US |
dc.description.abstract | This article mainly explores and applies a modified form of the analytical method, namely the homotopy analysis transform method (HATM) for solving time-fractional Cauchy reaction-diffusion equations (TFCRDEs). Then mainly we address the error norms L2 and L infinity for a convergence study of the proposed method. We also find existence, uniqueness and convergence in the analysis for TFCRDEs. The projected method is illustrated by solving some numerical examples. The obtained numerical solutions by the HATM method show that it is simple to employ. An excellent conformity obtained between the solution got by the HATM method and the various well-known results available in the current literature. Also the existence and uniqueness of the solution have been demonstrated. | en_US |
dc.description.publishedMonth | 1 | |
dc.identifier.citation | Kumar, Sunil...et al. (2020). "A modified analytical approach with existence and uniqueness for fractional Cauchy reaction-diffusion equations", Advances in Difference Equations, Vol. 2020, No. 1. | en_US |
dc.identifier.doi | 10.1186/s13662-019-2488-3 | |
dc.identifier.issn | 1687-1847 | |
dc.identifier.issue | 1 | en_US |
dc.identifier.uri | http://hdl.handle.net/20.500.12416/4546 | |
dc.identifier.volume | 2020 | en_US |
dc.language.iso | en | en_US |
dc.relation.ispartof | Advances in Difference Equations | en_US |
dc.rights | info:eu-repo/semantics/openAccess | en_US |
dc.subject | Homotopy Analysis Transform Method | en_US |
dc.subject | Fractional Cauchy Reaction-Diffusion Equation | en_US |
dc.subject | Mittag-Leffler Function | en_US |
dc.subject | Optimal Value | en_US |
dc.title | A modified analytical approach with existence and uniqueness for fractional Cauchy reaction-diffusion equations | tr_TR |
dc.title | A Modified Analytical Approach With Existence and Uniqueness for Fractional Cauchy Reaction-Diffusion Equations | en_US |
dc.type | Article | en_US |
dspace.entity.type | Publication |