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On stability analysis and existence of positive solutions for a general non-linear fractional differential equations

dc.contributor.authorDevi, Amita
dc.contributor.authorKumar, Anoop
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorKhan, Aziz
dc.contributor.authorID56389tr_TR
dc.date.accessioned2021-01-05T11:38:30Z
dc.date.available2021-01-05T11:38:30Z
dc.date.issued2020
dc.departmentÇankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn this article, we deals with the existence and uniqueness of positive solutions of general non-linear fractional differential equations (FDEs) having fractional derivative of different orders involving p-Laplacian operator. Also we investigate the Hyers-Ulam (HU) stability of solutions. For the existence result, we establish the integral form of the FDE by using the Green function and then the existence of a solution is obtained by applying Guo-Krasnoselskii's fixed point theorem. For our purpose, we also check the properties of the Green function. The uniqueness of the result is established by applying the Banach contraction mapping principle. An example is offered to ensure the validity of our results.en_US
dc.description.publishedMonth6
dc.identifier.citationDevi, Amita...et al. (20209. "On stability analysis and existence of positive solutions for a general non-linear fractional differential equations", Advances in Difference Equations, Vol. 2020, No. 1.en_US
dc.identifier.doi10.1186/s13662-020-02729-3
dc.identifier.issn1687-1847
dc.identifier.issue1en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/4432
dc.identifier.volume2020en_US
dc.language.isoenen_US
dc.relation.ispartofAdvances in Difference Equationsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectHyers-Ulam Stabilityen_US
dc.subjectP-Laplacian Operatoren_US
dc.subjectCaputo Fractional Derivativeen_US
dc.subjectGuo-Krasnoselskii's Fixed Point Theoremen_US
dc.subjectEU of Positive Solutionsen_US
dc.titleOn stability analysis and existence of positive solutions for a general non-linear fractional differential equationstr_TR
dc.titleOn Stability Analysis and Existence of Positive Solutions for a General Non-Linear Fractional Differential Equationsen_US
dc.typeArticleen_US
dspace.entity.typePublication

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