Document Type : Original Article

Authors

• Ziba Khalili ¹
• Ali Bararpour ¹
• Khashayar Hosseinzadeh ¹
• Bahram Jafari ²
• Davood Domiri Ganji ¹

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

• Fractional Differential Equations
• Akbari-Ganji’s Method
• Mathematical Methods