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

نویسندگان
Khalili, Ziba ID 1
Bararpour, Ali ID 2
Hosseinzadeh, Khashayar ID 3
Jafari, Bahram ID 4
Domiri Ganji, Davood ID 5

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

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

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

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

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

doi
10.22080/cste.2024.5009
چکیده

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

کلیدواژه‌ها
Fractional Differential Equations, Akbari-Ganji’s Method, Mathematical Methods