On Bessel-Maitland Function and m-Parameter Mittag-Leffler Function Associated with Fractional Calculus Operators and its Applications

Authors

Rupakshi Mishra Pandey, Amity Institute of Applied Sciences, Amity University, Uttar Pradesh, IndiaFollow
Ankita Chandola, Amity Institute of Applied Sciences, Amity University, Uttar Pradesh, India\\ School of Engineering, Dayanand Sagar University, Kudlu Gate, Hosur Main Road, Bengaluru, IndiaFollow
Ritu Agarwal, Malaviya National Institute of Technology, Jaipur, IndiaFollow

Author Country (or Countries)

India

Abstract

Fractional calculus is of utmost importance because of its extensive use in various fields of inequality theory, applied mathematics, science and engineering. In this paper, our aim is to discuss some image formulas involving various fractional operators that has kernel as the Appell function and the Saigo operators with Bessel-Maitland function and m-parameter Mittag-Leffler function. The results are then represented in the form of the generalized Wright-hypergeometric function. Further, some special and particular cases involving the Mittag-Leffler function, the Wiman function, the Prabhakar function among other generalizations of the Mittag- Leffler function are induced.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/170110

Recommended Citation

Mishra Pandey, Rupakshi; Chandola, Ankita; and Agarwal, Ritu (2023) "On Bessel-Maitland Function and m-Parameter Mittag-Leffler Function Associated with Fractional Calculus Operators and its Applications," Applied Mathematics & Information Sciences: Vol. 17: Iss. 1, Article 10.
DOI: http://dx.doi.org/10.18576/amis/170110
Available at: https://digitalcommons.aaru.edu.jo/amis/vol17/iss1/10