Exact Solutions for Stochastic Fractional Zhiber-Shabat Equations

Hossam A. Ghany; Ashraf Fathallah

Exact Solutions for Stochastic Fractional Zhiber-Shabat Equations

Authors

Hossam A. Ghany Department Mathematics, Helwan University, Cairo, Egypt https://orcid.org/0009-0005-3174-762X
Ashraf Fathallah Department of Mathematics, Misr International University, Cairo 11341, Egypt https://orcid.org/0009-0005-3174-762X

Keywords:

Fractional Zhiber-Shabat equations; White noise; Stochastic; Hermite transform

Abstract

This paper is devoted to give exact solutions of the variable coefficient fractional Zhiber -Shabat equation with space-time-fractional derivatives. Moreover, by using the Hermite transform and the homogeneous balance principle, the white noise functional solutions for the Wick-type stochastic fractional Zhiber-Shabat equation are explicitly shown. Detailed computations and implemented examples are explicitly provided.

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Published

2021-08-14

How to Cite

Hossam A. Ghany, & Ashraf Fathallah. (2021). Exact Solutions for Stochastic Fractional Zhiber-Shabat Equations. Journal of Computational Analysis and Applications (JoCAAA), 29(4), 634–644. Retrieved from https://eudoxuspress.com/index.php/pub/article/view/177