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

Abdeljawad, Thabet; Alzabut, Jehad; Baleanu, Dumitru

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