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On generalized fractional operators and a gronwall type ınequality with applications

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dc.contributor.author Adjabi, Yassine
dc.contributor.author Jarad, Fahd
dc.contributor.author Abdeljawad, Thabet
dc.date.accessioned 2020-02-27T11:37:42Z
dc.date.available 2020-02-27T11:37:42Z
dc.date.issued 2017
dc.identifier.citation Adjabi, Yassine; Jarad, Fahd; Abdeljawad, Thabet, "On generalized fractional operators and a gronwall type ınequality with applications", Filomat, Vol.31, No.17, pp.5457-5473, (2017). tr_TR
dc.identifier.issn 0354-5180
dc.identifier.uri http://hdl.handle.net/20.500.12416/2527
dc.description.abstract In this paper, we obtain the Gronwall type inequality for generalized fractional operators unifying Riemann-Liouville and Hadamard fractional operators. We apply this inequality to the dependence of the solution of differential equations, involving generalized fractional derivatives, on both the order and the initial conditions. More properties for the generalized fractional operators are formulated and the solutions of initial value problems in certain new weighted spaces of functions are established as well. tr_TR
dc.language.iso eng tr_TR
dc.publisher Univ Nis tr_TR
dc.relation.isversionof 10.2298/FIL1717457A tr_TR
dc.rights info:eu-repo/semantics/closedAccess tr_TR
dc.subject Generalized Fractional Derivative tr_TR
dc.subject Generalized Gronwall Inequality tr_TR
dc.subject Cauchy Problem tr_TR
dc.title On generalized fractional operators and a gronwall type ınequality with applications tr_TR
dc.type article tr_TR
dc.relation.journal Filomat tr_TR
dc.contributor.authorID 234808 tr_TR
dc.identifier.volume 31 tr_TR
dc.identifier.issue 17 tr_TR
dc.identifier.startpage 5457 tr_TR
dc.identifier.endpage 5473 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü tr_TR


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