On Riemann and Caputo fractional differences

Abdeljawad, Thabet

dc.contributor.author	Abdeljawad, Thabet
dc.date.accessioned	2017-01-23T11:24:54Z
dc.date.available	2017-01-23T11:24:54Z
dc.date.issued	2011-08
dc.identifier.citation	Abdeljawad, T. (2011). On Riemann and Caputo fractional differences. Computers&Mathematics With Applications, 62(3), 1602-1611. http://dx.doi.org/10.1016/j.camwa.2011.03.036	tr_TR
dc.identifier.issn	0898-1221
dc.identifier.uri	http://hdl.handle.net/20.500.12416/1237
dc.description.abstract	In this paper, we define left and right Caputo fractional sums and differences, study some of their properties and then relate them to Riemann-Liouville ones studied before by Miller K. S. and Ross B., Atici F.M. and Eloe P. W., Abdeljawad T. and Baleanu D., and a few others. Also, the discrete version of the Q-operator is used to relate the left and right Caputo fractional differences. A Caputo fractional difference equation is solved. The solution proposes discrete versions of Mittag-Leffler functions	tr_TR
dc.language.iso	eng	tr_TR
dc.publisher	Pergamon-Elsevier Science Ltd	tr_TR
dc.relation.isversionof	10.1016/j.camwa.2011.03.036	tr_TR
dc.rights	info:eu-repo/semantics/closedAccess
dc.subject	Left Fractional Sum	tr_TR
dc.subject	Right Fractional Sum	tr_TR
dc.subject	Caputo Left And Right Fractional Differences	tr_TR
dc.subject	Left And Right Riemann Differences	tr_TR
dc.subject	Discrete Mittag-Leffler Function	tr_TR
dc.title	On Riemann and Caputo fractional differences	tr_TR
dc.type	article	tr_TR
dc.relation.journal	Computers&Mathematics With Applications	tr_TR
dc.identifier.volume	62	tr_TR
dc.identifier.issue	3	tr_TR
dc.identifier.startpage	1602	tr_TR
dc.identifier.endpage	1611	tr_TR
dc.contributor.department	Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bilgisayar Bölümü	tr_TR