Solitary Wave Solution of a Generalized Fractional–Stochastic Nonlinear Wave Equation for a Liquid with Gas Bubbles-Reference-Cited by-同舟云学术

Solitary Wave Solution of a Generalized Fractional–Stochastic Nonlinear Wave Equation for a Liquid with Gas Bubbles

Published:2023-04-01 Issue:7 Volume:11 Page:1692
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Mohammed Wael W.¹²^ORCID,Al-Askar Farah M.³^ORCID,Cesarano Clemente⁴^ORCID,El-Morshedy Mahmoud⁵^ORCID

Affiliation:

1. Department of Mathematics, Collage of Science, University of Ha’il, Ha’il 2440, Saudi Arabia

2. Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt

3. Department of Mathematical Science, Collage of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia

4. Section of Mathematics, International Telematic University Uninettuno, Corso Vittorio Emanuele II, 39, 00186 Roma, Italy

5. Department of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia

Abstract

In the sense of a conformable fractional operator, we consider a generalized fractional–stochastic nonlinear wave equation (GFSNWE). This equation may be used to depict several nonlinear physical phenomena occurring in a liquid containing gas bubbles. The analytical solutions of the GFSNWE are obtained by using the F-expansion and the Jacobi elliptic function methods with the Riccati equation. Due to the presence of noise and the conformable derivative, some solutions that were achieved are shown together with their physical interpretations.

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2227-7390/11/7/1692/pdf

Reference26 articles.

1. Miller, K.S., and Ross, B. (1993). An Introduction to the Fractional Calculus and Fractional Differential Equations, John Wiley & Sons.

2. Kilbas, A.A., Srivastava, H.M., and Trujillo, J.J. (2006). Theory and Applications of Fractional Differential Equations, Elsevier.

3. Podlubny, I. (1999). Fractional Differential Equations, Vol. 198 of Mathematics in Science and Engineering, Academic Press.

4. Nonlinear singular P-Laplacian boundary value problems in the frame of conformable derivative;Bouloudene;Discret. Contin. Dyn. S,2021

5. On conformable fractional calculus;Abdeljawad;J. Comput. Appl. Math.,2015

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