On fractional derivatives with exponential kernel and their discrete versions

Abdeljawad, Thabet; Baleanu, Dumitru

dc.contributor.author	Abdeljawad, Thabet
dc.contributor.author	Baleanu, Dumitru
dc.date.accessioned	2020-03-05T08:28:25Z
dc.date.available	2020-03-05T08:28:25Z
dc.date.issued	2017-08
dc.identifier.citation	Abdeljawad, Thabet; Baleanu, Dumitru, "On fractional derivatives with exponential kernel and their discrete versions", Reports On Mathematical Physics, Vol.80, No.1, pp.11-27, (2017).	tr_TR
dc.identifier.issn	0034-4877
dc.identifier.uri	http://hdl.handle.net/20.500.12416/2604
dc.description.abstract	In this paper we define the right fractional derivative and its corresponding right fractional integral with exponential kernel. We provide the integration by parts formula and we use the Q-operator to confirm our results. The related Euler Lagrange equations are obtained and one example is reported. Moreover, we formulate and discuss the discrete counterparts of our results.	tr_TR
dc.language.iso	eng	tr_TR
dc.publisher	Pergamon-Elsevier Science LTD	tr_TR
dc.relation.isversionof	10.1016/S0034-4877(17)30059-9	tr_TR
dc.rights	info:eu-repo/semantics/closedAccess	tr_TR
dc.subject	Caputo Fractional Difference	tr_TR
dc.subject	Q-Operator	tr_TR
dc.subject	Discrete Exponential Function	tr_TR
dc.subject	Discrete Nabla Laplace Transform	tr_TR
dc.subject	Convolution	tr_TR
dc.title	On fractional derivatives with exponential kernel and their discrete versions	tr_TR
dc.type	article	tr_TR
dc.relation.journal	Reports On Mathematical Physics	tr_TR
dc.contributor.authorID	56389	tr_TR
dc.identifier.volume	80	tr_TR
dc.identifier.issue	1	tr_TR
dc.identifier.startpage	11	tr_TR
dc.identifier.endpage	27	tr_TR
dc.contributor.department	Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü	tr_TR