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

In this paper, we discuss the relationship between the Zain Ul Abadin Zafar (ZZ) transform with Laplace and Aboodh transforms. Further, the ZZ transform is applied to the fractional derivative with the Mittag-Leffler kernel defined in both the Caputo and Riemann-Liouville sense. In order to illustra...

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Bibliographic Details
Main Authors: Rajarama Mohan Jena, Snehashish Chakraverty, Dumitru Baleanu, Maysaa M. Alqurashi
Format: Article
Language:English
Published: Frontiers Media S.A. 2020-09-01
Series:Frontiers in Physics
Subjects:
Online Access:https://www.frontiersin.org/article/10.3389/fphy.2020.00352/full
Description
Summary:In this paper, we discuss the relationship between the Zain Ul Abadin Zafar (ZZ) transform with Laplace and Aboodh transforms. Further, the ZZ transform is applied to the fractional derivative with the Mittag-Leffler kernel defined in both the Caputo and Riemann-Liouville sense. In order to illustrate the validity and applicability of the transform, we solve some illustrative examples.
ISSN:2296-424X