Comparative analysis of the approximation of derivatives of Caputo and Riemann-Liouville fractional orders in the bases of biorthogonal polynomials

Abstract

On the basis of the model problem, a comparative analysis of the use of the spectral method in the basis of orthogonal polynomials for calculating the derivatives of fractional orders of Caputo and Riemann-Liouville was carried out. The rate of convergence of the approximation was analyzed