Abdeljawad, Thabet2017-01-232025-09-182017-01-232025-09-182011Abdeljawad, T. (2011). On Riemann and Caputo fractional differences. Computers&Mathematics With Applications, 62(3), 1602-1611. http://dx.doi.org/10.1016/j.camwa.2011.03.0360898-1221https://doi.org/10.1016/j.camwa.2011.03.036https://hdl.handle.net/20.500.12416/14107Abdeljawad, Thabet/0000-0002-8889-3768In 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. (C) 2011 Elsevier Ltd. All rights reserved.eninfo:eu-repo/semantics/closedAccessLeft Fractional SumRight Fractional SumCaputo Left And Right Fractional DifferencesLeft And Right Riemann DifferencesDiscrete Mittag-Leffler FunctionArticle10.1016/j.camwa.2011.03.0362-s2.0-79960975255