University of Science & Technology, College of Engineering (Sudan).
Abstract
In this paper, the Sumudu Daftardar-Jafari method, abbreviated as (SDJM) is established and successfully applied to obtain approximate analytical solutions for the fractional differential equations with the Caputo-Fabrizio fractional derivative (CFFD). SDJM is expressed with a combining of the Sumudu transform and the Daftardar-Jafari method. Based on this method, the solutions are considered in the form of a series. Three examples are provided to illustrate the efficiency and ease of implementation of the
proposed method. Moreover, the obtained solutions are compared with the exact solutions. We also present our results with the help of tables and figures.
Ahmed, A. (2023). On the Approximate Solutions for Fractional Differential Equations with Caputo-Fabrizio Fractional Derivative. Communications in Nonlinear Analysis, (), -.
MLA
Abubker Ahmed. "On the Approximate Solutions for Fractional Differential Equations with Caputo-Fabrizio Fractional Derivative". Communications in Nonlinear Analysis, , , 2023, -.
HARVARD
Ahmed, A. (2023). 'On the Approximate Solutions for Fractional Differential Equations with Caputo-Fabrizio Fractional Derivative', Communications in Nonlinear Analysis, (), pp. -.
VANCOUVER
Ahmed, A. On the Approximate Solutions for Fractional Differential Equations with Caputo-Fabrizio Fractional Derivative. Communications in Nonlinear Analysis, 2023; (): -.