Asymptotic decomposition method for fractional order Riccati differential equation
سال انتشار: 1400
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 97
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شناسه ملی سند علمی:
JR_CMDE-9-1_005
تاریخ نمایه سازی: 15 بهمن 1401
چکیده مقاله:
In this study, the asymptotic Adomian decomposition method (AADM) is implemented to solve fractional order Riccati differential equations. The product integration method is used to solve the singular integrals, resulted from fractional derivative. Some fractional order Riccati differential equations are presented as examples to illustrate the ability and efficiency of the proposed approach. The approximate solutions of AADM are compared with the results of the Laplace Adomian Pade method (LAPM). Generalizing AADM for solving fractional Riccati differential equations by the far-field approximation indicates the novelty of the paper.
کلیدواژه ها:
Fractional order Riccati differential equations ، Asymptotic Adomian decomposition method ، Singular integrals ، Product integration ، Caputo fractional derivative
نویسندگان
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Department of Mathematics, Rasht Branch, Islamic Azad University, Rasht, Iran.
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Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Guilan, P.O. Box. ۴۱۳۳۵-۱۹۱۴, Guilan, Rasht, Iran.
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Department of Engineering sciences, Faculty of Technology and Engineering East of Guilan, University of Guilan P.C.۴۴۸۹۱-Rudsar-Vajargah,Iran.