Abdeljawad, ThabetBaleanu, Dumitru2018-10-102025-09-182018-10-102025-09-182017Abdeljawad, T., Baleanu, D. (2017). Integration by parts and its applications of a new nonlocal fractional derivative with Mittag-Leffler nonsingular kernel. Journal Of Nonlinear Sciences And Applications, 10(3), 1098-1107. http://dx.doi.org/ 10.22436/jnsa.010.03.202008-18982008-1901https://doi.org/10.22436/jnsa.010.03.20https://hdl.handle.net/20.500.12416/13072Abdeljawad, Thabet/0000-0002-8889-3768In 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.eninfo:eu-repo/semantics/openAccessFractional CalculusMittag-Leffler FunctionFractional Integration By PartsFractional Euler-Lagrange EquationsArticle10.22436/jnsa.010.03.20