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

Rajarama Mohan Jena; Snehashish Chakraverty; Dumitru Baleanu; Dumitru Baleanu; Maysaa M. Alqurashi

doi:10.3389/fphy.2020.00352

Frontiers in Physics (Sep 2020)

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

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

Affiliations

Rajarama Mohan Jena: Department of Mathematics, National Institute of Technology Rourkela, Rourkela, India
Snehashish Chakraverty: Department of Mathematics, National Institute of Technology Rourkela, Rourkela, India
Dumitru Baleanu: Department of Mathematics, Faculty of Art and Sciences, Cankaya University Balgat, Ankara, Turkey
Dumitru Baleanu: Institute of Space Sciences, Magurele-Bucharest, Romania
Maysaa M. Alqurashi: Department of Mathematics, King Saud University, Riyadh, Saudi Arabia

DOI: https://doi.org/10.3389/fphy.2020.00352
Journal volume & issue: Vol. 8

Abstract

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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.

Published in Frontiers in Physics

ISSN: 2296-424X (Online)
Publisher: Frontiers Media S.A.
Country of publisher: Switzerland
LCC subjects: Science: Physics
Website: https://www.frontiersin.org/journals/physics

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