Solving multi-order fractional differential equations by reproducing kernel Hilbert space method
سال انتشار: 1395
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 118
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شناسه ملی سند علمی:
JR_CMDE-4-3_001
تاریخ نمایه سازی: 15 اسفند 1401
چکیده مقاله:
In this paper we propose a relatively new semi-analytical technique to approximate the solution of nonlinear multi-order fractional differential equations (FDEs). We present some results concerning to the uniqueness of solution of nonlinear multi-order FDEs and discuss the existence of solution for nonlinear multi-order FDEs in reproducing kernel Hilbert space (RKHS). We further give an error analysis for the proposed technique in different reproducing kernel Hilbert spaces and present some useful results. The accuracy of the proposed technique is examined by comparing with the exact solution of some test examples.
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نویسندگان
Reza Khoshsiar Ghaziani
Department of Applied Mathematics, Faculty of Mathematical Science, Shahrekord University, Shahrekord, P. O. Box ۱۱۵, Iran
Mojtaba Fardi
Department of Applied Mathematics, Faculty of Mathematical Science, Shahrekord University, Shahrekord, P. O. Box ۱۱۵, Iran
Mehdi Ghasemi
Department of Applied Mathematics, Faculty of Mathematical Science, Shahrekord University, Shahrekord, P. O. Box ۱۱۵, Iran