New Approach of Non-Linear Fractional Differential Equations Analytical Solution by Akbari-Ganji’s Method

Document Type : Original Article

Authors

1 Department of Mechanical Engineering, Babol Noshirvani University of Technology, Babol, Iran

2 Faculty of Engineering Modern Technologies, Amol University of Special Modern Technologies (AUSMT), Amol, Iran

Abstract

The present study examines fractional differential equations (FDEs) as these types ‎of equations are widely used in modeling. FDEs are more difficult to solve than differential equations, which have‎integer order. There are a variety of mathematical methods for solving these ‎equations. An analytical method is utilized in this paper to solve non-linear FDEs.  ‎Akbari-Ganji’s method (AGM) has been used as a new method for solving FDEs. Comparisons ‎are made between the AGM and previously published papers. Several non-linear FDE examples have been solved to illustrate the high performance and quality of the proposed method. Findings show that ‎the AGM is a highly useful and powerful method that can be utilized for FDEs

Keywords

Contributions of Science and Technology for Engineering
Volume 1, Issue 1
March 2024
Pages 12-18

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History

  • Receive Date: 05 January 2024
  • Revise Date: 03 February 2024
  • Accept Date: 10 February 2024
  • First Publish Date: 15 March 2024
  • Publish Date: 15 March 2024

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