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A fractional derivative with two singular kernels and application to a heat conduction problem

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dc.contributor.author Baleanu, Dumitru
dc.contributor.author Jleli, Mohamed
dc.contributor.author Kumar, Sunil
dc.contributor.author Samet, Bessem
dc.date.accessioned 2021-01-08T12:47:19Z
dc.date.available 2021-01-08T12:47:19Z
dc.date.issued 2020-05-28
dc.identifier.citation Baleanu, Dumitru...et al. (2020). "A fractional derivative with two singular kernels and application to a heat conduction problem", Advances in Difference Equations, Vol. 2020, No. 1. tr_TR
dc.identifier.issn 1687-1847
dc.identifier.uri http://hdl.handle.net/20.500.12416/4462
dc.description.abstract In this article, we suggest a new notion of fractional derivative involving two singular kernels. Some properties related to this new operator are established and some examples are provided. We also present some applications to fractional differential equations and propose a numerical algorithm based on a Picard iteration for approximating the solutions. Finally, an application to a heat conduction problem is given. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.1186/s13662-020-02684-z tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Fractional Derivative tr_TR
dc.subject Two Singular Kernels tr_TR
dc.subject Picard Iteration tr_TR
dc.subject Heat Conduction Problem tr_TR
dc.title A fractional derivative with two singular kernels and application to a heat conduction problem tr_TR
dc.type article tr_TR
dc.relation.journal Advances in Difference Equations tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 2020 tr_TR
dc.identifier.issue 1 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü tr_TR


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