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

سال انتشار: 1403
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 82

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شناسه ملی سند علمی:

JR_CSTE-1-1_002

تاریخ نمایه سازی: 11 خرداد 1404

چکیده مقاله:

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

نویسندگان

Ziba Khalili

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

Ali Bararpour

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

Khashayar Hosseinzadeh

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

Bahram Jafari

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

Davood Domiri Ganji

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