The Marichev-Saigo-Maeda Fractional Calculus Operators Pertaining to the Generalized K-Struve Function-Reference-Cited by-同舟云学术

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

Published:2020-07-01 Issue:2 Volume:5 Page:593-602
ISSN:2444-8656
Container-title:Applied Mathematics and Nonlinear Sciences
language:en
Short-container-title:

Author:

Kabra Seema¹,Nagar Harish¹,Nisar Kottakkaran Sooppy²,Suthar D.L.³

Affiliation:

1. Department of Mathematics , Sangam University , Bhilwara , Rajasthan , India

2. Department of Mathematics , College of Arts & Sciences, Wadi Aldawaser , Prince Sattam bin Abdulaziz University , Saudi Arabia

3. Department of Mathematics , Wollo University , Dessie, P.O. Box:1145, Amahara Region , Ethiopia

Abstract

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

S ν , c k

S_{\nu ,c}^k

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

p Ψ q k

_p\Psi _q^k

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Engineering (miscellaneous),Modeling and Simulation,General Computer Science

Link

https://www.sciendo.com/pdf/10.2478/amns.2020.2.00064

Reference22 articles.

1. Baricz A., Generalized Bessel functions of the first kind, Lecture Notes in Mathematics, Springer, Berlin, 1994.

2. Bhowmick K.N., A generalized Struve's function and its recurrence formula, Vijnana Parishad Anusandhan Patrika, 6, (1963), 1–11.

3. Diaz R. and Pariguan E., On hypergeometric functions and Pochammer k-symbol, Divulgaciones mathematics, 15 (2), (2007), 179–192.

4. Erdélyi A., Magnus W., Oberhettinger and Tricomi F.G., Higher Transcendental Functions, Vol.I, McGraw-Hill, New York-Toronto-London, 1953.

5. Gehlot K.S. and Prajapati J.C., On generalization of K-Wright functions and its properties, Pac. J. Appl. Math., 5(2), (2013), 81–88.

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