TY - JOUR AU - Abdeljawad, Thabet AU - Baleanu, Dumitru PY - 2017 TI - Integration by parts and its applications of a new nonlocal fractional derivative with Mittag-Leffler nonsingular kernel JO - Journal of Nonlinear Sciences and Applications SP - 1098--1107 VL - 10 IS - 3 AB - 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. SN - ISSN 2008-1901 UR - http://dx.doi.org/10.22436/jnsa.010.03.20 DO - 10.22436/jnsa.010.03.20 ID - Abdeljawad2017 ER - TY - JOUR TI - Dual identities in fractional difference calculus within Riemann AU - T. Abdeljawad JO - Adv. Difference Equ. 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