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The Analytical Solutions for Stochastic Fractional-Space Burgers’ Equation

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  • Farah M. Al-Askar
  • Wael W. Mohammed
  • M. El-Morshedy
  • Saima Arshed

Abstract

We consider here the stochastic fractional-space Burgers’ equation (SFSBs’E) forced by multiplicative noise. Our goal in this paper is to find the analytical solutions for SFSBs’E via the G′/G-expansion method. Also, we generalize some previously results where this equation was not studied before with fractional space and multiplicative noise in the itô sense. Moreover, we utilize graphical representations to discuss the effect of the stochastic term on the stability of the SFSBs’E solutions.

Suggested Citation

  • Farah M. Al-Askar & Wael W. Mohammed & M. El-Morshedy & Saima Arshed, 2022. "The Analytical Solutions for Stochastic Fractional-Space Burgers’ Equation," Journal of Mathematics, Hindawi, vol. 2022, pages 1-8, March.
    • Handle: RePEc:hin:jjmath:9878885
    DOI: 10.1155/2022/9878885
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    Cited by:

    1. Tahira Sumbal Shaikh & Muhammad Zafarullah Baber & Nauman Ahmed & Naveed Shahid & Ali Akgül & Manuel De la Sen, 2023. "On the Soliton Solutions for the Stochastic Konno–Oono System in Magnetic Field with the Presence of Noise," Mathematics, MDPI, vol. 11(6), pages 1-21, March.

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