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Alvandi, A., Paripour, M.. (1397). The Combined Reproducing Kernel Method and Taylor Series for Handling Fractional Differential ‎Equations. , 10(4), 349-358.
A. Alvandi; M. Paripour. "The Combined Reproducing Kernel Method and Taylor Series for Handling Fractional Differential ‎Equations". , 10, 4, 1397, 349-358.
Alvandi, A., Paripour, M.. (1397). 'The Combined Reproducing Kernel Method and Taylor Series for Handling Fractional Differential ‎Equations', , 10(4), pp. 349-358.
Alvandi, A., Paripour, M.. The Combined Reproducing Kernel Method and Taylor Series for Handling Fractional Differential ‎Equations. , 1397; 10(4): 349-358.

The Combined Reproducing Kernel Method and Taylor Series for Handling Fractional Differential ‎Equations

International Journal of Industrial Mathematics
مقاله 4، دوره 10، شماره 4، بهمن 2018، صفحه 349-358  XML اصل مقاله (392.01 K)
نوع مقاله: Research Paper
نویسندگان
A. Alvandi1؛ M. Paripour email 2
1Department of Mathematics, Hamedan Branch, Islamic Azad University, Hamedan, ‎Iran‎.
2Department of Computer Engineering and Information Technology, Hamedan University of Technology, Hamedan, ‎Iran‎.
چکیده
‎This paper presents the numerical solution for a class of fractional differential equations. The fractional derivatives are described in the Caputo \cite{1} sense. We developed a reproducing kernel method (RKM) to solve fractional differential equations in reproducing kernel Hilbert space. This method cannot be used directly to solve these equations, so an equivalent transformation is made by using Taylor series. Some numerical examples are studied to demonstrate the accuracy of the given ‎method.‎
کلیدواژه‌ها
Kennel؛ Reproducing kernel؛ Fractional differential equation؛ Taylor series
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