Journal
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS
Volume 10, Issue 3, Pages 1098-1107Publisher
INT SCIENTIFIC RESEARCH PUBLICATIONS
DOI: 10.22436/jnsa.010.03.20
Keywords
Fractional calculus; Mittag-Leffler function; fractional integration by parts; fractional Euler-Lagrange equations
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In this manuscript we define the right fractional derivative and its corresponding right fractional integral for the newly suggested nonlocal fractional derivative with Mittag-Leffler kernel. Then, we obtain the related integration by parts formula. We use the Q-operator to confirm our results. The related Euler-Lagrange equations are reported and one illustrative example is discussed. (C) 2017 All rights reserved.
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