Generalized squared remainder minimization method for solving multi-term fractional differential equations
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| Formato: | Artículo científico |
| Lenguaje: | en |
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Vilniaus Universitetas
2021
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| _version_ | 1876436334133903360 |
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| author | Hashemia Mir Sajjad |
| author_facet | Hashemia Mir Sajjad |
| contents | Generalized squared remainder minimization method for solving multi-term fractional differential equations Hashemia Mir Sajjad Inc Mustafa Hajikhah Somayeh Matemáticas multi Lagrange multiplier method Squared remainder minimization method term fractional differential equation In this paper, we introduce a generalization of the squared remainder minimization method for solving multi-term fractional differential equations. We restrict our attention to linear equations. Approximate solutions of these equations are considered in terms of linearly independent functions. We change our problem into a minimization problem. Finally, the Lagrange-multiplier method is used to minimize the resultant problem. The convergence of this approach is discussed and theoretically investigated. Some relevant examples are investigated to illustrate the accuracy of the method, and obtained results are compared with other methods to show the power of applied method. 2021 artículo científico 1392-5113 https://www.redalyc.org/articulo.oa?id=694172828004 https://www.redalyc.org/journal/6941/694172828004/ https://www.redalyc.org/journal/6941/694172828004/html/ https://www.redalyc.org/journal/6941/694172828004/694172828004.epub https://www.redalyc.org/journal/6941/694172828004/movil en http://www.redalyc.org/revista.oa?id=6941 Nonlinear Analysis: Modelling and Control application/pdf Vilniaus Universitetas Nonlinear Analysis: Modelling and Control (Lituania) Num.1 Vol.26 |
| format | Artículo científico |
| id | redalyc_694172828004 |
| institution | Redalyc |
| language | en |
| publishDate | 2021 |
| publisher | Vilniaus Universitetas |
| spellingShingle | Generalized squared remainder minimization method for solving multi-term fractional differential equations Hashemia Mir Sajjad Matemáticas multi Lagrange multiplier method Squared remainder minimization method term fractional differential equation Generalized squared remainder minimization method for solving multi-term fractional differential equations Hashemia Mir Sajjad Inc Mustafa Hajikhah Somayeh Matemáticas multi Lagrange multiplier method Squared remainder minimization method term fractional differential equation In this paper, we introduce a generalization of the squared remainder minimization method for solving multi-term fractional differential equations. We restrict our attention to linear equations. Approximate solutions of these equations are considered in terms of linearly independent functions. We change our problem into a minimization problem. Finally, the Lagrange-multiplier method is used to minimize the resultant problem. The convergence of this approach is discussed and theoretically investigated. Some relevant examples are investigated to illustrate the accuracy of the method, and obtained results are compared with other methods to show the power of applied method. 2021 artículo científico 1392-5113 https://www.redalyc.org/articulo.oa?id=694172828004 https://www.redalyc.org/journal/6941/694172828004/ https://www.redalyc.org/journal/6941/694172828004/html/ https://www.redalyc.org/journal/6941/694172828004/694172828004.epub https://www.redalyc.org/journal/6941/694172828004/movil en http://www.redalyc.org/revista.oa?id=6941 Nonlinear Analysis: Modelling and Control application/pdf Vilniaus Universitetas Nonlinear Analysis: Modelling and Control (Lituania) Num.1 Vol.26 |
| title | Generalized squared remainder minimization method for solving multi-term fractional differential equations |
| topic | Matemáticas multi Lagrange multiplier method Squared remainder minimization method term fractional differential equation |
| url | https://www.redalyc.org/articulo.oa?id=694172828004 https://www.redalyc.org/journal/6941/694172828004/ https://www.redalyc.org/journal/6941/694172828004/html/ https://www.redalyc.org/journal/6941/694172828004/694172828004.epub https://www.redalyc.org/journal/6941/694172828004/movil |