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پایگاه استنادی علوم جهان اسلام (ISC)

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Barikbin, Mohammad Saeed. (1402). Modified simple equation method (MSEM) for solving nonlinear (3+1)-dimensional space-time fractional equations. سامانه مدیریت نشریات علمی, 12(2), 413-424. doi: 10.22034/cmde.2023.51930.2168
Mohammad Saeed Barikbin. "Modified simple equation method (MSEM) for solving nonlinear (3+1)-dimensional space-time fractional equations". سامانه مدیریت نشریات علمی, 12, 2, 1402, 413-424. doi: 10.22034/cmde.2023.51930.2168
Barikbin, Mohammad Saeed. (1402). 'Modified simple equation method (MSEM) for solving nonlinear (3+1)-dimensional space-time fractional equations', سامانه مدیریت نشریات علمی, 12(2), pp. 413-424. doi: 10.22034/cmde.2023.51930.2168
Barikbin, Mohammad Saeed. Modified simple equation method (MSEM) for solving nonlinear (3+1)-dimensional space-time fractional equations. سامانه مدیریت نشریات علمی, 1402; 12(2): 413-424. doi: 10.22034/cmde.2023.51930.2168

Modified simple equation method (MSEM) for solving nonlinear (3+1)-dimensional space-time fractional equations

Computational Methods for Differential Equations
مقاله 15، دوره 12، شماره 2، خرداد 2024، صفحه 413-424    اصل مقاله (489.4 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2023.51930.2168
نویسنده
Mohammad Saeed Barikbin*
Department of Mathematics, Takestan branch, Islamic Azad University, Takestan, Iran
چکیده
In the present paper, modified simple equation method (MSEM) is implemented for obtaining exact solutions of three nonlinear (3 + 1)-dimensional space-time fractional equation, namely three types of modified Korteweg-de-Vries (mKdV) equations. Here, the derivatives are of the type of conformable fractional derivatives. The solving process produces a system of algebraic equations which is possible to be easily with no need of using software for determining unknown coefficients. Results show that this method can supply a powerful mathematical tool to construct exact solutions of mKdV equations and it can be employed for other nonlinear (3 + 1) - dimensional space-time fractional equations.
کلیدواژه‌ها
Modified simple equation method (MSEM)؛ Exact solutions؛ ( 3 + 1 )- Dimensional fractional equations؛ Conformable fractional derivative
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