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On psi-Hilfer generalized proportional fractional operators

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dc.contributor.author Mallah, Ishfaq
dc.contributor.author Ahmed, Idris
dc.contributor.author Akgul, Ali
dc.contributor.author Jarad, Fahd
dc.contributor.author Alha, Subhash
dc.date.accessioned 2022-11-10T12:06:46Z
dc.date.available 2022-11-10T12:06:46Z
dc.date.issued 2021
dc.identifier.citation Mallah, Ishfaq...et al. (2021). "On psi-Hilfer generalized proportional fractional operators", AIMS Mathematics, Vol. 7, No. 1, pp. 82-102. tr_TR
dc.identifier.issn 2473-6988
dc.identifier.uri http://hdl.handle.net/20.500.12416/5850
dc.description.abstract In this paper, we introduce a generalized fractional operator in the setting of Hilfer fractional derivatives, the psi-Hilfer generalized proportional fractional derivative of a function with respect to another function. The proposed operator can be viewed as an interpolator between the Riemann-Liouville and Caputo generalized proportional fractional operators. The properties of the proposed operator are established under some classical and standard assumptions. As an application, we formulate a nonlinear fractional differential equation with a nonlocal initial condition and investigate its equivalence with Volterra integral equations, existence, and uniqueness of solutions. Finally, illustrative examples are given to demonstrate the theoretical results. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.3934/math.2022005 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Hilfer Fractional Derivative tr_TR
dc.subject Generalized Proportional Fractional Derivative tr_TR
dc.subject Existence and Uniqueness tr_TR
dc.subject Weighed Space tr_TR
dc.subject Fixed Point Theorems tr_TR
dc.title On psi-Hilfer generalized proportional fractional operators tr_TR
dc.type article tr_TR
dc.relation.journal AIMS Mathematics tr_TR
dc.contributor.authorID 234808 tr_TR
dc.identifier.volume 7 tr_TR
dc.identifier.issue 1 tr_TR
dc.identifier.startpage 82 tr_TR
dc.identifier.endpage 102 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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