The Analytical Stochastic Solutions for the Stochastic Potential Yu–Toda–Sasa–Fukuyama Equation with Conformable Derivative Using Different Methods
We consider in this study the (3+1)-dimensional stochastic potential Yu–Toda–Sasa–Fukuyama with conformable derivative (SPYTSFE-CD) forced by white noise. For different kind of solutions of SPYTSFE-CD, including hyperbolic, rational, trigonometric and function, we use He’s semi-inverse and improved...
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| Format: | Article |
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MDPI AG
2023-10-01
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| Series: | Fractal and Fractional |
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| Online Access: | https://www.mdpi.com/2504-3110/7/11/787 |
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| author | Sahar Albosaily Elsayed M. Elsayed M. Daher Albalwi Meshari Alesemi Wael W. Mohammed |
| author_facet | Sahar Albosaily Elsayed M. Elsayed M. Daher Albalwi Meshari Alesemi Wael W. Mohammed |
| author_sort | Sahar Albosaily |
| collection | DOAJ |
| description | We consider in this study the (3+1)-dimensional stochastic potential Yu–Toda–Sasa–Fukuyama with conformable derivative (SPYTSFE-CD) forced by white noise. For different kind of solutions of SPYTSFE-CD, including hyperbolic, rational, trigonometric and function, we use He’s semi-inverse and improved <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><msup><mi>G</mi><mo>′</mo></msup><mo>/</mo><mi>G</mi><mo>)</mo></mrow></semantics></math></inline-formula>-expansion methods. Because it investigates solitons and nonlinear waves in dispersive media, plasma physics and fluid dynamics, the potential Yu–Toda–Sasa–Fukuyama theory may explain many intriguing scientific phenomena. We provide numerous 2D and 3D figures to address how the white noise destroys the pattern formation of the solutions and stabilizes the solutions of SPYTSFE-CD. |
| first_indexed | 2024-03-09T16:48:48Z |
| format | Article |
| id | doaj.art-52405c5c43c24570b49ef90b31a45be4 |
| institution | Directory Open Access Journal |
| issn | 2504-3110 |
| language | English |
| last_indexed | 2024-03-09T16:48:48Z |
| publishDate | 2023-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Fractal and Fractional |
| spelling | doaj.art-52405c5c43c24570b49ef90b31a45be42023-11-24T14:42:58ZengMDPI AGFractal and Fractional2504-31102023-10-0171178710.3390/fractalfract7110787The Analytical Stochastic Solutions for the Stochastic Potential Yu–Toda–Sasa–Fukuyama Equation with Conformable Derivative Using Different MethodsSahar Albosaily0Elsayed M. Elsayed1M. Daher Albalwi2Meshari Alesemi3Wael W. Mohammed4Department of Mathematics, College of Science, University of Ha’il, Ha’il 2440, Saudi ArabiaMathematics Department, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi ArabiaYanbu Industrial College, The Royal Commission for Jubail and Yanbu, Yanbu 30436, Saudi ArabiaDepartment of Mathematics, College of Science, University of Bisha, Bisha 61922, Saudi ArabiaDepartment of Mathematics, College of Science, University of Ha’il, Ha’il 2440, Saudi ArabiaWe consider in this study the (3+1)-dimensional stochastic potential Yu–Toda–Sasa–Fukuyama with conformable derivative (SPYTSFE-CD) forced by white noise. For different kind of solutions of SPYTSFE-CD, including hyperbolic, rational, trigonometric and function, we use He’s semi-inverse and improved <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><msup><mi>G</mi><mo>′</mo></msup><mo>/</mo><mi>G</mi><mo>)</mo></mrow></semantics></math></inline-formula>-expansion methods. Because it investigates solitons and nonlinear waves in dispersive media, plasma physics and fluid dynamics, the potential Yu–Toda–Sasa–Fukuyama theory may explain many intriguing scientific phenomena. We provide numerous 2D and 3D figures to address how the white noise destroys the pattern formation of the solutions and stabilizes the solutions of SPYTSFE-CD.https://www.mdpi.com/2504-3110/7/11/787exact stochastic solutionsconformable derivativestabilization by noiseimproved (G′/G)-expansion method |
| spellingShingle | Sahar Albosaily Elsayed M. Elsayed M. Daher Albalwi Meshari Alesemi Wael W. Mohammed The Analytical Stochastic Solutions for the Stochastic Potential Yu–Toda–Sasa–Fukuyama Equation with Conformable Derivative Using Different Methods Fractal and Fractional exact stochastic solutions conformable derivative stabilization by noise improved (G′/G)-expansion method |
| title | The Analytical Stochastic Solutions for the Stochastic Potential Yu–Toda–Sasa–Fukuyama Equation with Conformable Derivative Using Different Methods |
| title_full | The Analytical Stochastic Solutions for the Stochastic Potential Yu–Toda–Sasa–Fukuyama Equation with Conformable Derivative Using Different Methods |
| title_fullStr | The Analytical Stochastic Solutions for the Stochastic Potential Yu–Toda–Sasa–Fukuyama Equation with Conformable Derivative Using Different Methods |
| title_full_unstemmed | The Analytical Stochastic Solutions for the Stochastic Potential Yu–Toda–Sasa–Fukuyama Equation with Conformable Derivative Using Different Methods |
| title_short | The Analytical Stochastic Solutions for the Stochastic Potential Yu–Toda–Sasa–Fukuyama Equation with Conformable Derivative Using Different Methods |
| title_sort | analytical stochastic solutions for the stochastic potential yu toda sasa fukuyama equation with conformable derivative using different methods |
| topic | exact stochastic solutions conformable derivative stabilization by noise improved (G′/G)-expansion method |
| url | https://www.mdpi.com/2504-3110/7/11/787 |
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