The Analytical Solutions for Stochastic Fractional-Space Burgers’ Equation
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 wi...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2022/9878885 |
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| _version_ | 1832562191085076480 |
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| author | Farah M. Al-Askar Wael W. Mohammed M. El-Morshedy |
| author_facet | Farah M. Al-Askar Wael W. Mohammed M. El-Morshedy |
| author_sort | Farah M. Al-Askar |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-671cf9e9441e442d8f478291df48245c |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-671cf9e9441e442d8f478291df48245c2025-02-03T01:23:14ZengWileyJournal of Mathematics2314-47852022-01-01202210.1155/2022/9878885The Analytical Solutions for Stochastic Fractional-Space Burgers’ EquationFarah M. Al-Askar0Wael W. Mohammed1M. El-Morshedy2Department of MathematicsDepartment of MathematicsDepartment of MathematicsWe 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.http://dx.doi.org/10.1155/2022/9878885 |
| spellingShingle | Farah M. Al-Askar Wael W. Mohammed M. El-Morshedy The Analytical Solutions for Stochastic Fractional-Space Burgers’ Equation Journal of Mathematics |
| title | The Analytical Solutions for Stochastic Fractional-Space Burgers’ Equation |
| title_full | The Analytical Solutions for Stochastic Fractional-Space Burgers’ Equation |
| title_fullStr | The Analytical Solutions for Stochastic Fractional-Space Burgers’ Equation |
| title_full_unstemmed | The Analytical Solutions for Stochastic Fractional-Space Burgers’ Equation |
| title_short | The Analytical Solutions for Stochastic Fractional-Space Burgers’ Equation |
| title_sort | analytical solutions for stochastic fractional space burgers equation |
| url | http://dx.doi.org/10.1155/2022/9878885 |
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