International Journal of Nonlinear Analysis and Applications

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

Document Type : Research Paper

Authors

Department of Mathematics, Gorgan Branch, Islamic Azad University, Gorgan, Iran

Abstract

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.

Keywords

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International Journal of Nonlinear Analysis and Applications
Volume 16, Issue 5
May 2025
Pages 57-67
  • Receive Date: 27 November 2023
  • Revise Date: 02 March 2024
  • Accept Date: 05 March 2024