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A generalized q-fractional Gronwall inequality and its applications to nonlinear delay q-fractional difference systems

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dc.contributor.author Abdeljawad, Thabet
dc.contributor.author Alzabut, Jehad
dc.contributor.author Baleanu, Dumitru
dc.date.accessioned 2018-09-26T12:44:13Z
dc.date.available 2018-09-26T12:44:13Z
dc.date.issued 2016-09-29
dc.identifier.citation Abdeljawad, T., Alzabut, J., Baleanu, D. (2016). A generalized q-fractional Gronwall inequality and its applications to nonlinear delay q-fractional difference systems. Journal Of Inequalities Applications. http://dx.doi.org/ 10.1186/s13660-016-1181-2 tr_TR
dc.identifier.issn 1029-242X
dc.identifier.uri http://hdl.handle.net/20.500.12416/1796
dc.description.abstract In this paper, we state and prove a new discrete q-fractional version of the Gronwall inequality. Based on this result, a particular version expressed by means of the q-Mittag-Leffler function is provided. To apply the proposed results, we prove the uniqueness and obtain an estimate for the solutions of nonlinear delay Caputo q-fractional difference system. We examine our results by providing a numerical example. tr_TR
dc.language.iso eng tr_TR
dc.publisher Springer International Publishing tr_TR
dc.relation.isversionof 10.1186/s13660-016-1181-2 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Generalized Q-Fractional Gronwall Inequality tr_TR
dc.subject Delay Q-Fractional Difference System tr_TR
dc.subject Uniqueness Of Solution tr_TR
dc.subject Estimate For The Solution tr_TR
dc.title A generalized q-fractional Gronwall inequality and its applications to nonlinear delay q-fractional difference systems tr_TR
dc.type article tr_TR
dc.relation.journal Journal Of Inequalities Applications tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bilgisayar Bölümü tr_TR


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