A numerical scheme based on Sinc function to solve the fractional delay differential equations of pantograph type

In this paper, a numerical method will be presented to solve a class of fractional delay differential equations. Numerical solutions are obtained by using the Sinc basis functions. The methology of the Sinc-collocation approach is completely explained and used to solve linear and nonlinear delay differential equations of fractional-order. Finally, some examples are presented to illustrate the ability and the efficiency of the proposed method

Keywords:

fractional delay differential equations , Caputo’s fractional derivative , Sinc basis function , Convolution