Journal
REPORTS ON MATHEMATICAL PHYSICS
Volume 80, Issue 1, Pages 11-27Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/S0034-4877(17)30059-9
Keywords
Caputo fractional difference; Q-operator; discrete exponential function; discrete nabla Laplace transform; convolution
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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.
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