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arXiv · 1606.07958

On fractional derivatives with exponential kernel and their discrete versions

Thabet Abdeljawad·Dumitru Baleanu
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Abstract

In this manuscript we define the right fractional derivative and its corresponding right fractional integral with exponential kernel. Then, we provide the integration by parts formula and we use $Q-$operator to confirm our results. The related Euler-Lagrange equations were obtained and one example is analyzed. Moreover, we formulate and discus the discrete counterparts of our results.

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Thabet Abdeljawad, Dumitru Baleanu. 2016-06-25. On fractional derivatives with exponential kernel and their discrete versions. https://doi.org/10.1016/s0034-4877(17)30059-9

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