On the Approximate Solutions for Fractional Differential Equations with Caputo-Fabrizio Fractional Derivative

PDF
  • Abubker Ahmed1,
  1. University of Science & Technology, College of Engineering (Sudan). AlMughtaribeen University, College of Engineering, Department of General Sciences (Sudan)

Published in Issue 2025-11-09

How to Cite

On the Approximate Solutions for Fractional Differential Equations with Caputo-Fabrizio Fractional Derivative. (2025). Communications in Nonlinear Analysis, 12(1). https://oiccpress.com/cna/article/view/17873

PDF views: 436

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.

Keywords

  • fractional differential equations,
  • Daftardar-Jafari method,
  • Sumudu transform,
  • Caputo-Fabrizio fractional derivative
PDF