Numerical Analysis of Nonlinear Fractional System of Jaulent–Miodek Equation
This paper presents the optimal auxiliary function method (OAFM) implementation to solve a nonlinear fractional system of the Jaulent–Miodek Equation with the Caputo operator. The OAFM is a vital method for solving different kinds of nonlinear equations. In this paper, the OAFM is applied to the fra...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-07-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/15/7/1350 |
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| author | Abdulrahman A. B. M. Alzahrani |
| author_facet | Abdulrahman A. B. M. Alzahrani |
| author_sort | Abdulrahman A. B. M. Alzahrani |
| collection | DOAJ |
| description | This paper presents the optimal auxiliary function method (OAFM) implementation to solve a nonlinear fractional system of the Jaulent–Miodek Equation with the Caputo operator. The OAFM is a vital method for solving different kinds of nonlinear equations. In this paper, the OAFM is applied to the fractional nonlinear system of the Jaulent–Miodek Equation, which describes the behavior of a physical system via a set of coupled nonlinear equations. The Caputo operator represents the fractional derivative in the equations, improving the system’s accuracy and applicability to the real world. This study demonstrates the effectiveness and efficiency of the OAFM in solving the fractional nonlinear system of the Jaulent–Miedek equation with the Caputo operator. This study’s findings provide important insights into the behavior of complex physical systems and may have practical applications in fields such as engineering, physics, and mathematics. |
| first_indexed | 2024-03-11T00:36:37Z |
| format | Article |
| id | doaj.art-dc5ac67bab824a188f5b9fc4188a3b55 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-11T00:36:37Z |
| publishDate | 2023-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-dc5ac67bab824a188f5b9fc4188a3b552023-11-18T21:33:51ZengMDPI AGSymmetry2073-89942023-07-01157135010.3390/sym15071350Numerical Analysis of Nonlinear Fractional System of Jaulent–Miodek EquationAbdulrahman A. B. M. Alzahrani0Department of Mathematics, College of Science, King Saud University, P.O. Box 1142, Riyadh 11989, Saudi ArabiaThis paper presents the optimal auxiliary function method (OAFM) implementation to solve a nonlinear fractional system of the Jaulent–Miodek Equation with the Caputo operator. The OAFM is a vital method for solving different kinds of nonlinear equations. In this paper, the OAFM is applied to the fractional nonlinear system of the Jaulent–Miodek Equation, which describes the behavior of a physical system via a set of coupled nonlinear equations. The Caputo operator represents the fractional derivative in the equations, improving the system’s accuracy and applicability to the real world. This study demonstrates the effectiveness and efficiency of the OAFM in solving the fractional nonlinear system of the Jaulent–Miedek equation with the Caputo operator. This study’s findings provide important insights into the behavior of complex physical systems and may have practical applications in fields such as engineering, physics, and mathematics.https://www.mdpi.com/2073-8994/15/7/1350optimal auxiliary function methodnonlinear system of Jaulent–Miodek equationCaputo operatorfractional calculus |
| spellingShingle | Abdulrahman A. B. M. Alzahrani Numerical Analysis of Nonlinear Fractional System of Jaulent–Miodek Equation Symmetry optimal auxiliary function method nonlinear system of Jaulent–Miodek equation Caputo operator fractional calculus |
| title | Numerical Analysis of Nonlinear Fractional System of Jaulent–Miodek Equation |
| title_full | Numerical Analysis of Nonlinear Fractional System of Jaulent–Miodek Equation |
| title_fullStr | Numerical Analysis of Nonlinear Fractional System of Jaulent–Miodek Equation |
| title_full_unstemmed | Numerical Analysis of Nonlinear Fractional System of Jaulent–Miodek Equation |
| title_short | Numerical Analysis of Nonlinear Fractional System of Jaulent–Miodek Equation |
| title_sort | numerical analysis of nonlinear fractional system of jaulent miodek equation |
| topic | optimal auxiliary function method nonlinear system of Jaulent–Miodek equation Caputo operator fractional calculus |
| url | https://www.mdpi.com/2073-8994/15/7/1350 |
| work_keys_str_mv | AT abdulrahmanabmalzahrani numericalanalysisofnonlinearfractionalsystemofjaulentmiodekequation |