Baleanu, DumitruFernandez, ArranBaleanu, Dumitru2020-03-092020-03-092019Fernandez, Arran; Baleanu, Dumitru, "On a New Definition of Fractional Differintegrals with Mittag-Leffler Kernel", Filomat, Vol. 33, No. 1, pp. 245-254, (2019).0354-5180https://hdl.handle.net/20.500.12416/2630We introduce a new family of fractional differential and integral operators which emerge from a fractional iteration process applied to some existing fractional operators with Mittag-Leffler kernels. We analyse the new operators and prove various facts about them, including a semigroup property. We also solve some ODEs in this new model by using Laplace transforms, and discuss applications of our results.eninfo:eu-repo/semantics/closedAccessFractional CalculusSemigroup PropertyMittag-Leffler FunctionArticle33124525410.2298/FIL1901245F