An algebraic method to obtain analytical solutions for a class of fractional partial differential equations

	An algebraic method to obtain analytical solutions for a class of fractional partial differential equations
International Journal of Nonlinear Analysis and Applications
مقاله 6، دوره 16، شماره 5، مرداد 2025، صفحه 57-67 اصل مقاله (765.21 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2024.32407.4830
نویسندگان
Ameneh Manouchehrian؛ Ahmad Haghbin^*
Department of Mathematics, Gorgan Branch, Islamic Azad University, Gorgan, Iran
چکیده
In this study, we apply an algebraic approach to solve a class of fractional partial differential equations (FPDEs) by utilizing conformable fractional derivatives. This method has been successfully utilized to study and achieve analytical solutions for Drinfeld-Sokolov-Wilson equations. In this approach, we use a suitable fractional transformation and the principles of fractional calculus to simplify fractional partial differential equations into ordinary differential equations.
کلیدواژه‌ها
fractional differential equations؛ Drinfeld-Sokolov-Wilson equations؛ conformable fractional derivative؛ analytical solution
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