The Marichev-Saigo-Maeda fractional-calculus operators involving the (p, q)-extended Bessel and Bessel-Wright functions
Date
2021
Authors
Srivastava, H.M.
AbuJarad, Eman S. A.
Jarad, Fahd
Srivastava, Gautam
AbuJarad, Mohammad H. A.
Journal Title
Journal ISSN
Volume Title
Publisher
Fractal and Fractional
Abstract
The goal of this article is to establish several new formulas and new results related to the
Marichev-Saigo-Maeda fractional integral and fractional derivative operators which are applied on
the (p, q)-extended Bessel function. The results are expressed as the Hadamard product of the (p, q)-
extended Gauss hypergeometric function Fp,q and the Fox-Wright function rΨs(z). Some special
cases of our main results are considered. Furthermore, the (p, q)-extended Bessel-Wright function
is introduced. Finally, a variety of formulas for the Marichev-Saigo-Maeda fractional integral and
derivative operators involving the (p, q)-extended Bessel-Wright function is established.
Description
Keywords
operators of fractional calculus, (p, q)-extensions of special functions, (p, q)-extended Bessel function, (p, q)-extended Gauss hypergeometric function, (p, q)-extended Bessel-Wright function, Fox-Wright function, Marichev-Saigo-Maeda fractional integral and fractional derivative operators, Euler-Darboux partial differential equation
Citation
Srivastava, H. M., AbuJarad, E. S. A., Jarad, F., Srivastava, G., & AbuJarad, M. H. A. (2021). “The Marichev-Saigo-Maeda fractional-calculus operators involving the (p, q)-extended Bessel and Bessel-Wright functions.” Fractal and Fractional, 5(4), 210. https://doi.org/10.3390/fractalfract5040210