Fractional derivatives with mittag-leffler kernel and their applications

In this thesis, we concentrate on studying the properties of a new fractional derivative with Mittag-Leffler kernel and presenting its discrete version. After that, we show some applications of these new fractional operators to couple real-world phenomena from the fields of engineering. In these applications, the results obtained from existing fractional derivatives are kept to express the performance of the considered new fractional derivative.