Applied Mathematics and Nonlinear Sciences
Journal license

Journal

Applied Mathematics and Nonlinear Sciences


Volume
& Issue

Volume 5, Issue 2


Published
on

December 30, 2020


Pages

593-602


DOI

Article

The Marichev-Saigo-Maeda Fractional Calculus Operators Pertaining to the Generalized K-Struve Function

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Authors

Seema Kabra Affiliation:
Department of Mathematics, Sangam University, Bhilwara, Rajasthan, India
, Harish Nagar Affiliation:
Department of Mathematics, Sangam University, Bhilwara, Rajasthan, India
, Kottakkaran Sooppy Nisar Affiliation:
Department of Mathematics, College of Arts & Sciences, Wadi Aldawaser, Prince Sattam bin Abdulaziz University, Saudi Arabia
and D.L. Suthar Affiliation:
Department of Mathematics, Wollo University, Dessie, P.O. Box:1145, Amahara Region, Ethiopia


Abstract

In the present paper, we establish some compositions formulas for Marichev-Saigo-Maeda (MSM) fractional calculus operators with k-Struve function

Sν,ck
S_{\nu ,c}^k

as of the kernel. The results are presented in terms of generalized k-Wright function

pΨqk
_p\Psi _q^k

.


Keywords

Generalized k-Struve function, Marichev-Saigo-Maeda fractional calculus operators, Generalized k-Wright function, k-Pochhammer symbol, k-Gamma function, 26A33, 33C65, 33C20


Citation

Kabra, S., Nagar, H., Nisar, K. S., & Suthar, D. (2020). The marichev-saigo-maeda fractional calculus operators pertaining to the generalized k-struve function. Applied Mathematics and Nonlinear Sciences, 5(2), 593–602. https://doi.org/10.2478/amns.2020.2.00064

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