Generalized fractional operators and their image formulas

Manish Kumar Bansal; Kottakkaran Sooppy Nisar; Junesang Choi; Devendra Kumar

Generalized fractional operators and their image formulas

Authors

Manish Kumar Bansal Department of Mathematics, Jaypee Institute of Information Technology, Noida-201309, Uttar Pradesh, India. https://orcid.org/0009-0005-3174-762X
Kottakkaran Sooppy Nisar Department of Mathematics, College of Arts and Sciences, Wadi Aldawaser Prince Sattam bin Abdulaziz University, Saudi Arabia. https://orcid.org/0009-0005-3174-762X
Junesang Choi Department of Mathematics, Dongguk University Gyeongju 38066, Republic of Korea. https://orcid.org/0009-0005-3174-762X
Devendra Kumar Department of Mathematics, University of Rajasthan, Jaipur 302004, Rajasthan https://orcid.org/0009-0005-3174-762X

Keywords:

Fractional Integral operators, Incomplete H-functions, Fox’s H-function, Mellin-Barnes type contour integral.

Abstract

Numerous image formulae for a diversity of polynomials and functions subjected to a variety of fractional integrals and derivatives have been given. In this paper, we aimto construct image formulae for the product of incomplete H-functions and a general class of polynomials under the Katugampola fractional integral and derivative operators . We also provide some particular instances of our main findings in corollaries, among many others.

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Published

2022-10-17

How to Cite

Manish Kumar Bansal, Kottakkaran Sooppy Nisar, Junesang Choi, & Devendra Kumar. (2022). Generalized fractional operators and their image formulas. Journal of Computational Analysis and Applications (JoCAAA), 30(2), 222–235. Retrieved from https://eudoxuspress.com/index.php/pub/article/view/114