A novel Elzaki transform homotopy perturbation method for solving time-fractional non-linear partial differential equations

Abstract

Abstract This paper presents the solution of important types of non-linear time-fractional partial differential equations via the conformable Elzaki transform Homotopy perturbation method. We apply the proposed technique to solve four types of non-linear time-fractional partial differential equations. In addition, we establish the results on the uniqueness and convergence of the solution. Finally, the numerical results for a variety of α values are briefly examined. The proposed method performs well in terms of simplicity and efficiency.

Keywords

• Homotopy perturbation method
• Elzaki transformation
• Conformable derivatives
• Non-linear time-fractional PDEs
• Uniquence
• Convergence