Application of AGM, VIM, and HPM methods to solve fractional differential equation

In recent years, the Akbari Ganji Method (AGM), Variational Iteration Method (VIM), and, Homotopy Perturbation Method (HPM) have gotten a lot of attention as a potential method for solving nonlinear differential equations. The use of AGM, VIM, and HPM in a special type of nonlinear fractional differential equations result in the calculation of superfluous terms and greater time spent on repeated calculations for series solutions, as illustrated in this study. In this paper, we explained the two theories, and two examples were given to fully explain, they were also compared to show the difference. Finally, because of its correctness, efficiency, and convergence, AGM, VIM, and HPM are ideal analytical methods for handling nonlinear issues.

Keywords:

fractional equations , AGM , HPM , VIM