On Fractional Derivatives With Exponential Kernel and Their Discrete Versions

Abdeljawad, ThabetBaleanu, Dumitru2020-03-052025-09-182020-03-052025-09-182017Abdeljawad, 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).0034-48771879-0674https://doi.org/10.1016/S0034-4877(17)30059-9https://hdl.handle.net/20.500.12416/13833Abdeljawad, Thabet/0000-0002-8889-3768In 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.eninfo:eu-repo/semantics/openAccessCaputo Fractional DifferenceQ-OperatorDiscrete Exponential FunctionDiscrete Nabla Laplace TransformConvolutionOn Fractional Derivatives With Exponential Kernel and Their Discrete VersionsOn fractional derivatives with exponential kernel and their discrete versionsArticle10.1016/S0034-4877(17)30059-92-s2.0-85028064900