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Khalili, Ziba, Bararpour, Ali, Hosseinzadeh, Khashayar, Jafari, Bahram, Domiri Ganji, Davood. (1402). New Approach of Non-Linear Fractional Differential Equations Analytical Solution by Akbari-Ganji’s Method. پژوهشنامه مدیریت اجرایی, 1(1), 12-18. doi: 10.22080/cste.2024.5009
Ziba Khalili; Ali Bararpour; Khashayar Hosseinzadeh; Bahram Jafari; Davood Domiri Ganji. "New Approach of Non-Linear Fractional Differential Equations Analytical Solution by Akbari-Ganji’s Method". پژوهشنامه مدیریت اجرایی, 1, 1, 1402, 12-18. doi: 10.22080/cste.2024.5009
Khalili, Ziba, Bararpour, Ali, Hosseinzadeh, Khashayar, Jafari, Bahram, Domiri Ganji, Davood. (1402). 'New Approach of Non-Linear Fractional Differential Equations Analytical Solution by Akbari-Ganji’s Method', پژوهشنامه مدیریت اجرایی, 1(1), pp. 12-18. doi: 10.22080/cste.2024.5009
Khalili, Ziba, Bararpour, Ali, Hosseinzadeh, Khashayar, Jafari, Bahram, Domiri Ganji, Davood. New Approach of Non-Linear Fractional Differential Equations Analytical Solution by Akbari-Ganji’s Method. پژوهشنامه مدیریت اجرایی, 1402; 1(1): 12-18. doi: 10.22080/cste.2024.5009

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

Contributions of Science and Technology for Engineering
دوره 1، شماره 1، خرداد 2024، صفحه 12-18    اصل مقاله (679.82 K)
نوع مقاله: Original Article
شناسه دیجیتال (DOI): 10.22080/cste.2024.5009
نویسندگان
Ziba Khalili1؛ Ali Bararpour1؛ Khashayar Hosseinzadeh* 1؛ Bahram Jafari2؛ Davood Domiri Ganji1
1Department of Mechanical Engineering, Babol Noshirvani University of Technology, Babol, Iran
2Faculty of Engineering Modern Technologies, Amol University of Special Modern Technologies (AUSMT), Amol, Iran
تاریخ دریافت: 15 دی 1402،  تاریخ بازنگری: 14 بهمن 1402،  تاریخ پذیرش: 21 بهمن 1402 
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
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