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A modified Laplace transform for certain generalized fractional operators

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dc.contributor.author Jarad, Fahd
dc.contributor.author Thabet, Abdeljawad
dc.date.accessioned 2020-05-07T14:12:11Z
dc.date.available 2020-05-07T14:12:11Z
dc.date.issued 2018
dc.identifier.citation Jarad, Fahd; Thabet, Abdeljawad, "A modified Laplace transform for certain generalized fractional operators", Results in Nonlinear Analysis, No.2, pp.88-98, (2018). tr_TR
dc.identifier.issn 2636-7556
dc.identifier.uri http://hdl.handle.net/20.500.12416/3642
dc.description.abstract It is known that Laplace transform converges for functions of exponential order. In order to extend the possibility of working in a large class of functions, we present a modified Laplace transform that we call ρ-Laplace transform, study its properties and prove its own convolution theorem. Then, we apply it to solve some ordinary differential equations in the frame of a certain type generalized fractional derivatives. This modified transform acts as a powerful tool in handling the kernels of these generalized fractional operators tr_TR
dc.language.iso eng tr_TR
dc.rights info:eu-repo/semantics/closedAccess tr_TR
dc.subject Generalized Fractional Derivatives tr_TR
dc.subject Generalized Caputo tr_TR
dc.subject Ρ-Laplace Transform 2010 MSC tr_TR
dc.subject 26A33 tr_TR
dc.subject 35A22 tr_TR
dc.subject 44A10 tr_TR
dc.title A modified Laplace transform for certain generalized fractional operators tr_TR
dc.type article tr_TR
dc.relation.journal Results in Nonlinear Analysis tr_TR
dc.contributor.authorID 234808 tr_TR
dc.identifier.issue 2 tr_TR
dc.identifier.startpage 88 tr_TR
dc.identifier.endpage 98 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü tr_TR


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