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A Gronwall inequality via the generalized proportional fractional derivative with applications

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dc.contributor.author Alzabut, Jehad
dc.contributor.author Abdeljawad, Thabet
dc.contributor.author Jarad, Fahd
dc.contributor.author Sudsutad, Weerawat
dc.date.accessioned 2020-01-13T11:31:22Z
dc.date.available 2020-01-13T11:31:22Z
dc.date.issued 2019-04-11
dc.identifier.citation Alzabut, Jehad...et al. (2019). "A Gronwall inequality via the generalized proportional fractional derivative with applications", Journal of Inequalities and Applications. tr_TR
dc.identifier.issn 1029-242X
dc.identifier.uri http://hdl.handle.net/20.500.12416/2334
dc.description.abstract In this paper, we provide a new version for the Gronwall inequality in the frame of the generalized proportional fractional derivative. Prior to the main results, we introduce the generalized proportional fractional derivative and expose some of its features. As an application, we accommodate the newly defined derivative to prove the uniqueness and obtain a bound in terms of Mittag-Leffler function for the solutions of a nonlinear delay proportional fractional system. An example is presented to demonstrate the applicability of the theory. tr_TR
dc.language.iso eng tr_TR
dc.publisher Springer Open tr_TR
dc.relation.isversionof 10.1186/s13660-019-2052-4 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Proportional Gronwall Inequality tr_TR
dc.subject Uniqueness of Solution tr_TR
dc.subject Delay Proportional Fractional System tr_TR
dc.subject Bound For the Solution tr_TR
dc.title A Gronwall inequality via the generalized proportional fractional derivative with applications tr_TR
dc.type article tr_TR
dc.relation.journal Journal of Inequalities and Applications tr_TR
dc.contributor.authorID 234808 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik - Bilgisayar Bölümü tr_TR


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