"Caputo Type Fractional Differentiation for the Extended Generalized Mi" by Daya Lal Suthar, Biniyam Shimelis et al.

Progress in Fractional Differentiation & Applications

Article Title

Caputo Type Fractional Differentiation for the Extended Generalized Mittag-Leffler Function

Authors

Daya Lal Suthar, Department of Mathematics, Wollo University, P.O. Box: 1145, Dessie, EthiopiaFollow
Biniyam Shimelis, Department of Mathematics, Wollo University, P.O. Box: 1145, Dessie, EthiopiaFollow
Faruk Ucar, Department of Mathematics, Marmara University, TR-34722, Kadıko ̈y, Istanbul, Turkey of HEAS (Mathematics), Rajasthan Technical University, Kota-324010, (India)Follow
Sunil Dutt Purohit, Department of HEAS (Mathematics), Rajasthan Technical University, Kota-324010, IndiaFollow

Author Country (or Countries)

Ethiopia

Abstract

The goal of this paper is to develop some differential equation formulas for the extended generalized Mittag-Leffler function (EGMLF) using Caputo type Marichev-Saigo-Maeda (MSM) fractional derivative operators involving the third Appell function as kernel, with the results viewed in the context of extended Wright hypergeometric type function. Furthermore, we highlight their relation to previously known results.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/pfda/090110

Recommended Citation

Lal Suthar, Daya; Shimelis, Biniyam; Ucar, Faruk; and Dutt Purohit, Sunil (2023) "Caputo Type Fractional Differentiation for the Extended Generalized Mittag-Leffler Function," Progress in Fractional Differentiation & Applications: Vol. 9: Iss. 1, Article 10.
DOI: http://dx.doi.org/10.18576/pfda/090110
Available at: https://digitalcommons.aaru.edu.jo/pfda/vol9/iss1/10

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