The Exact Solutions of Stochastic Fractional-Space Kuramoto-Sivashinsky Equation by Using (<inline-formula><math display="inline"><semantics><mfrac><msup><mi>G</mi><mo>′</mo></msup><mi>G</mi></mfrac></semantics></math></inline-formula>)-Expansion Method
In this paper, we consider the stochastic fractional-space Kuramoto–Sivashinsky equation forced by multiplicative noise. To obtain the exact solutions of the stochastic fractional-space Kuramoto–Sivashinsky equation, we apply the <inline-formula><math xmlns="http://www.w3.org/1998/Math...
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oai:doaj.org-article:5ef468b366c742baadbda53ec31f1b192021-11-11T18:16:13ZThe Exact Solutions of Stochastic Fractional-Space Kuramoto-Sivashinsky Equation by Using (<inline-formula><math display="inline"><semantics><mfrac><msup><mi>G</mi><mo>′</mo></msup><mi>G</mi></mfrac></semantics></math></inline-formula>)-Expansion Method10.3390/math92127122227-7390https://doaj.org/article/5ef468b366c742baadbda53ec31f1b192021-10-01T00:00:00Zhttps://www.mdpi.com/2227-7390/9/21/2712https://doaj.org/toc/2227-7390In this paper, we consider the stochastic fractional-space Kuramoto–Sivashinsky equation forced by multiplicative noise. To obtain the exact solutions of the stochastic fractional-space Kuramoto–Sivashinsky equation, we apply the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mfrac><msup><mi>G</mi><mo>′</mo></msup><mi>G</mi></mfrac></semantics></math></inline-formula>-expansion method. Furthermore, we generalize some previous results that did not use this equation with multiplicative noise and fractional space. Additionally, we show the influence of the stochastic term on the exact solutions of the stochastic fractional-space Kuramoto–Sivashinsky equation.Wael W. MohammedMeshari AlesemiSahar AlbosailyNaveed IqbalM. El-MorshedyMDPI AGarticlestochastic Kuramoto–Sivashinskyfractional Kuramoto–Sivashinskyexact stochastic-fractional solutions\({(\frac{G^{\prime }}{G})}\)-expansion methodMathematicsQA1-939ENMathematics, Vol 9, Iss 2712, p 2712 (2021) |
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stochastic Kuramoto–Sivashinsky fractional Kuramoto–Sivashinsky exact stochastic-fractional solutions \({(\frac{G^{\prime }}{G})}\)-expansion method Mathematics QA1-939 |
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stochastic Kuramoto–Sivashinsky fractional Kuramoto–Sivashinsky exact stochastic-fractional solutions \({(\frac{G^{\prime }}{G})}\)-expansion method Mathematics QA1-939 Wael W. Mohammed Meshari Alesemi Sahar Albosaily Naveed Iqbal M. El-Morshedy The Exact Solutions of Stochastic Fractional-Space Kuramoto-Sivashinsky Equation by Using (<inline-formula><math display="inline"><semantics><mfrac><msup><mi>G</mi><mo>′</mo></msup><mi>G</mi></mfrac></semantics></math></inline-formula>)-Expansion Method |
| description |
In this paper, we consider the stochastic fractional-space Kuramoto–Sivashinsky equation forced by multiplicative noise. To obtain the exact solutions of the stochastic fractional-space Kuramoto–Sivashinsky equation, we apply the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mfrac><msup><mi>G</mi><mo>′</mo></msup><mi>G</mi></mfrac></semantics></math></inline-formula>-expansion method. Furthermore, we generalize some previous results that did not use this equation with multiplicative noise and fractional space. Additionally, we show the influence of the stochastic term on the exact solutions of the stochastic fractional-space Kuramoto–Sivashinsky equation. |
| format |
article |
| author |
Wael W. Mohammed Meshari Alesemi Sahar Albosaily Naveed Iqbal M. El-Morshedy |
| author_facet |
Wael W. Mohammed Meshari Alesemi Sahar Albosaily Naveed Iqbal M. El-Morshedy |
| author_sort |
Wael W. Mohammed |
| title |
The Exact Solutions of Stochastic Fractional-Space Kuramoto-Sivashinsky Equation by Using (<inline-formula><math display="inline"><semantics><mfrac><msup><mi>G</mi><mo>′</mo></msup><mi>G</mi></mfrac></semantics></math></inline-formula>)-Expansion Method |
| title_short |
The Exact Solutions of Stochastic Fractional-Space Kuramoto-Sivashinsky Equation by Using (<inline-formula><math display="inline"><semantics><mfrac><msup><mi>G</mi><mo>′</mo></msup><mi>G</mi></mfrac></semantics></math></inline-formula>)-Expansion Method |
| title_full |
The Exact Solutions of Stochastic Fractional-Space Kuramoto-Sivashinsky Equation by Using (<inline-formula><math display="inline"><semantics><mfrac><msup><mi>G</mi><mo>′</mo></msup><mi>G</mi></mfrac></semantics></math></inline-formula>)-Expansion Method |
| title_fullStr |
The Exact Solutions of Stochastic Fractional-Space Kuramoto-Sivashinsky Equation by Using (<inline-formula><math display="inline"><semantics><mfrac><msup><mi>G</mi><mo>′</mo></msup><mi>G</mi></mfrac></semantics></math></inline-formula>)-Expansion Method |
| title_full_unstemmed |
The Exact Solutions of Stochastic Fractional-Space Kuramoto-Sivashinsky Equation by Using (<inline-formula><math display="inline"><semantics><mfrac><msup><mi>G</mi><mo>′</mo></msup><mi>G</mi></mfrac></semantics></math></inline-formula>)-Expansion Method |
| title_sort |
exact solutions of stochastic fractional-space kuramoto-sivashinsky equation by using (<inline-formula><math display="inline"><semantics><mfrac><msup><mi>g</mi><mo>′</mo></msup><mi>g</mi></mfrac></semantics></math></inline-formula>)-expansion method |
| publisher |
MDPI AG |
| publishDate |
2021 |
| url |
https://doaj.org/article/5ef468b366c742baadbda53ec31f1b19 |
| work_keys_str_mv |
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| _version_ |
1718431888230580224 |