Heba, Sh. and Kais, I. (2018) Solve the Initial Value Problems of Fractional Order Using the Homotopy Analytical Method and Improve Them Using Pade’ Approximations. Journal of Education and Science, 28, 142-157. https://doi.org/10.33899/edusj.1999.163332

has been cited by the following article:

• TITLE: Solution of Fuzzy Initial Value Problems Using Homotopy Analysis Method and Padè Approximate

  AUTHORS: Rana H. Ali, Kais I. Ibraheem

  KEYWORDS: Homotopy Analytical Method, Fuzzy Original Value Problems, Padè Approximation

  JOURNAL NAME: Open Access Library Journal, Vol.7 No.10, October 15, 2020

  ABSTRACT: In this paper, we have studied and developed some analytical methods for solving some linear and fuzzy differential equations of the first degree with their fuzzy elementary conditions using the homotopy analytical method, using the approximate Padè method, and comparing the results with the exact solution of the equation, which indicates that the error decreases exponentially with the N degree of approximation. Also, we made some improvements to the solution results by using Padè enhancements as shown in the two examples with tables and figures.