OICC Press Communications in Nonlinear Analysis 2371-7920 12 1 2025 11 09 On the Approximate Solutions for Fractional Differential Equations with Caputo-Fabrizio Fractional Derivative EN Abubker Ahmed University of Science & Technology, College of Engineering (Sudan). AlMughtaribeen University, College of Engineering, Department of General Sciences (Sudan) Journal Article 2025 11 09 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.