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A modified analytical approach with existence and uniqueness for fractional Cauchy reaction-diffusion equations

dc.contributor.authorKumar, Sunil
dc.contributor.authorKumar, Amit
dc.contributor.authorAbbas, Syed
dc.contributor.authorAl Qurashi, Maysaa
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorID56389tr_TR
dc.date.accessioned2021-02-03T12:14:41Z
dc.date.available2021-02-03T12:14:41Z
dc.date.issued2020
dc.departmentÇankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractThis 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.publishedMonth1
dc.identifier.citationKumar, 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.doi10.1186/s13662-019-2488-3
dc.identifier.issn1687-1847
dc.identifier.issue1en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/4546
dc.identifier.volume2020en_US
dc.language.isoenen_US
dc.relation.ispartofAdvances in Difference Equationsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectHomotopy Analysis Transform Methoden_US
dc.subjectFractional Cauchy Reaction-Diffusion Equationen_US
dc.subjectMittag-Leffler Functionen_US
dc.subjectOptimal Valueen_US
dc.titleA modified analytical approach with existence and uniqueness for fractional Cauchy reaction-diffusion equationstr_TR
dc.titleA Modified Analytical Approach With Existence and Uniqueness for Fractional Cauchy Reaction-Diffusion Equationsen_US
dc.typeArticleen_US
dspace.entity.typePublication

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