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

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

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

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

URI: http://hdl.handle.net/20.500.12416/5709

Date: 2020-09-23

Abstract:

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. © Copyright © 2020 Jena, Chakraverty, Baleanu and Alqurashi.

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