Approximate solution of linear singular fractionalintegro-differential equation with the radial basis function

In this paper, we present a new method for the numerical solution of the linear singularfractional integro- differential equations. The main purpose of this work is to apply shiftedChebyshev polynomial and radial basis function for solving the linear singular fractionalintegro-differential equation and obtain an approximate solution. Furthermore, the efficiencyof the proposed method will be considered some numerical examples.

Keywords:

Linear singular fractional integro-differential equation , Collocation method , Cheby-shev polynomial , Radial basis functions , Error estimation