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VL - 19 ID - Yang2018 ER - TY - JOUR AU - Yang, X. Y. AU - Tenreiro Machado, J. A. AU - Baleanu, D. PY - 2017 DA - 2017// TI - Anomalous diffusion models with general fractional derivatives within the kernels of the extended Mittag-Leffler type functions JO - Rom. Rep. Phys. VL - 69 ID - Yang2017 ER - TY - JOUR AU - Caputo, M. AU - Fabrizio, M. PY - 2015 DA - 2015// TI - A new definition of fractional derivative without singular kernel JO - Prog. Fract. Differ. Appl. VL - 1 ID - Caputo2015 ER - TY - JOUR AU - Atangana, A. AU - Baleanu, D. PY - 2016 DA - 2016// TI - New fractional derivative with non-local and non-singular kernel JO - Therm. Sci. VL - 20 UR - https://doi.org/10.2298/TSCI160111018A DO - 10.2298/TSCI160111018A ID - Atangana2016 ER - TY - JOUR AU - Abdeljawad, T. AU - Baleanu, D. PY - 2016 DA - 2016// TI - Discrete fractional differences with nonsingular discrete Mittag-Leffler kernels JO - Adv. Differ. Equ. VL - 2016 UR - https://doi.org/10.1186/s13662-016-0949-5 DO - 10.1186/s13662-016-0949-5 ID - Abdeljawad2016 ER - TY - JOUR AU - Abdeljawad, T. AU - Baleanu, D. PY - 2017 DA - 2017// TI - Integration by parts and its applications of a new nonlocal fractional derivative with Mittag-Leffler nonsingular kernel JO - J. Nonlinear Sci. Appl. VL - 10 UR - https://doi.org/10.22436/jnsa.010.03.20 DO - 10.22436/jnsa.010.03.20 ID - Abdeljawad2017 ER - TY - JOUR AU - Abdeljawad, T. AU - Baleanu, D. PY - 2017 DA - 2017// TI - On fractional derivatives with exponential kernel and their discrete versions JO - Rep. Math. Phys. VL - 80 UR - https://doi.org/10.1016/S0034-4877(17)30059-9 DO - 10.1016/S0034-4877(17)30059-9 ID - Abdeljawad2017 ER - TY - JOUR AU - Abdeljawad, T. AU - Al-Mdallal, Q. M. PY - 2018 DA - 2018// TI - Discrete Mittag-Leffler kernel type fractional difference initial value problems and Gronwall’s inequality JO - J. Comput. Appl. Math. VL - 339 UR - https://doi.org/10.1016/j.cam.2017.10.021 DO - 10.1016/j.cam.2017.10.021 ID - Abdeljawad2018 ER - TY - JOUR AU - Abdeljawad, T. PY - 2017 DA - 2017// TI - Fractional operators with exponential kernels and a Lyapunov type inequality JO - Adv. Differ. Equ. VL - 2017 UR - https://doi.org/10.1186/s13662-017-1285-0 DO - 10.1186/s13662-017-1285-0 ID - Abdeljawad2017 ER - TY - JOUR AU - Abdeljawad, T. PY - 2017 DA - 2017// TI - A Lyapunov type inequality for fractional operators with nonsingular Mittag-Leffler kernel JO - J. Inequal. Appl. VL - 2017 UR - https://doi.org/10.1186/s13660-017-1400-5 DO - 10.1186/s13660-017-1400-5 ID - Abdeljawad2017 ER - TY - JOUR AU - Abdeljawad, T. AU - Al-Mdallal, Q. M. AU - Hajji, M. A. PY - 2017 DA - 2017// TI - Arbitrary order fractional difference operators with discrete exponential kernels and applications JO - Discrete Dyn. Nat. Soc. 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