EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR A NABLA FRACTIONAL BOUNDARY VALUE PROBLEM WITH DISCRETE MITTAG{LEFFLER KERNEL

Jonnalagadda, Jagan Mohan; Baleanu, Dumitru

dc.contributor.author	Jonnalagadda, Jagan Mohan
dc.contributor.author	Baleanu, Dumitru
dc.date.accessioned	2022-04-21T12:41:16Z
dc.date.available	2022-04-21T12:41:16Z
dc.date.issued	2021
dc.identifier.citation	Jonnalagadda, Jagan Mohan; Baleanu, Dumitru (2021). "EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR A NABLA FRACTIONAL BOUNDARY VALUE PROBLEM WITH DISCRETE MITTAG{LEFFLER KERNEL", Proceedings of the Institute of Mathematics and Mechanics, Vol. 47, No. 1, pp. 3-14.	tr_TR
dc.identifier.issn	2409-4994
dc.identifier.uri	http://hdl.handle.net/20.500.12416/5409
dc.description.abstract	We consider a two-point boundary-value problem of order 1 < alpha < 3/2 involving nabla fractional differences with discrete Mittag-Leffler kernels. In [2], the authors obtained an expression for the Green's function of this boundary value problem. We determine an upper bound for the Green's function and derive a Lyapunov-type inequality. Further, we also establish sufficient conditions on existence and uniqueness of solutions for the corresponding nonlinear problem using fixed point theorems.	tr_TR
dc.language.iso	eng	tr_TR
dc.rights	info:eu-repo/semantics/closedAccess	tr_TR
dc.subject	Nabla Fractional Difference	tr_TR
dc.subject	Discrete Mittag-Leffler Kernel	tr_TR
dc.subject	Fixed Point	tr_TR
dc.subject	Existence	tr_TR
dc.subject	Uniqueness	tr_TR
dc.title	EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR A NABLA FRACTIONAL BOUNDARY VALUE PROBLEM WITH DISCRETE MITTAG{LEFFLER KERNEL	tr_TR
dc.type	article	tr_TR
dc.relation.journal	Proceedings of the Institute of Mathematics and Mechanics	tr_TR
dc.contributor.authorID	56389	tr_TR
dc.identifier.volume	47	tr_TR
dc.identifier.issue	1	tr_TR
dc.identifier.startpage	3	tr_TR
dc.identifier.endpage	14	tr_TR
dc.contributor.department	Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü	tr_TR