Approximation of the Erdélyi–Kober Operator Using Cubic Spline Interpolation

This research work studied the problem of approximate computation of the fractional Erdélyi–Kober operator using a spline. A cubic spline interpolation method for approximating the Erdélyi–Kober operator on an inhomogeneous grid (with unequal steps) is proposed, an approximation evaluation of the method is obtained and its stability is verified. This method has been tested on examples and numerical results have been published in the form of graphs and tables.