Sign in
Back
ON FRACTIONAL DERIVATIVES WITH EXPONENTIAL KERNEL AND THEIR DISCRETE VERSIONS
Journal article   Peer reviewed

ON FRACTIONAL DERIVATIVES WITH EXPONENTIAL KERNEL AND THEIR DISCRETE VERSIONS

Thabet Abdeljawad and Dumitru Baleanu
Reports on mathematical physics, Vol.80(1), pp.11-27
01/08/2017
DOI: https://doi.org/10.1016/S0034-4877(17)30059-9

Abstract

Physical Sciences Physics Physics, Mathematical Science & Technology
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.

Metrics

1 Record Views

Details