On a new definition of fractional differintegrals with Mittag-Leffler kernel
arXiv:1807.10601 · doi:10.2298/FIL1901245F
Abstract
We introduce and study the properties of a new family of fractional differential and integral operators which are based directly on an iteration process and therefore satisfy a semigroup property. We also solve some ODEs in this new model and discuss applications of our results.
9 pages