The Combined Reproducing Kernel Method and Taylor Series for Handling Fractional Differential Equations
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Abstract:
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.
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Journal title
volume 10 issue 4
pages 349- 358
publication date 2018-11-01
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