AUTHOR=Jena Rajarama Mohan , Chakraverty Snehashish , Baleanu Dumitru , Alqurashi Maysaa M. 

TITLE=New Aspects of ZZ Transform to Fractional Operators With Mittag-Leffler Kernel

JOURNAL=Frontiers in Physics

VOLUME=Volume 8 - 2020

YEAR=2020

URL=https://www.frontiersin.org/journals/physics/articles/10.3389/fphy.2020.00352

DOI=10.3389/fphy.2020.00352

ISSN=2296-424X

ABSTRACT=Recently, it was introduced a new integral transform viz. ZZ transform which generalizes the Laplace and Aboodh integral transforms. In this paper, we have addressed the relationship among the ZZ transform with Laplace and Aboodh transforms. Further, the ZZ transform is applied to the fractional derivative with Mittag-Leffler kernel defined in both the Caputo and Riemann-Liouville sense. In order to illustrate the validity and applicability of the transform, we have solved some illustrative examples.