]>
2017
10
3
ISSN 2008-1898
433
Integration by parts and its applications of a new nonlocal fractional derivative with Mittag-Leffler nonsingular kernel
Integration by parts and its applications of a new nonlocal fractional derivative with Mittag-Leffler nonsingular kernel
en
en
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.
1098
1107
Thabet
Abdeljawad
Department of Mathematics and Physical Sciences
Prince Sultan University
Saudi Arabia
tabdeljawad@psu.edu.sa
Dumitru
Baleanu
Department of Mathematics
Institute of Space Sciences
Cankaya University
Turkey
Romania
dumitru@cankaya.edu.tr
Fractional calculus
Mittag-Leffler function
fractional integration by parts
fractional Euler-Lagrange equations.
Article.20.pdf
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