Title of article :
The Combined Reproducing Kernel Method and Taylor Series for Handling Fractional Differential Equations
Author/Authors :
Alvandi, A. Department of Mathematics - Hamedan Branch, Islamic Azad University, Hamedan, Iran , Paripour, M. Department of Computer Engineering and Information Technology - Hamedan University of Technology, Hamedan, Iran
Abstract :
This paper presents the numerical solution for a class of fractional dierential equations. The fractional
derivatives are described in the Caputo [1] sense. We developed a reproducing kernel method (RKM)
to solve fractional dierential 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.
Keywords :
Kennel , Reproducing kernel , Fractional differential equation , Taylor series
Journal title :
Astroparticle Physics
