T‎he ‎Chebyshev ‎wavelet ‎of ‎the ‎second ‎kind‎ for ‎s‎olving ‎f‎ractional ‎d‎elay ‎d‎ifferential ‎equations

Abstract

This article extends a numerical method for solving the fractional delay differential equations specified in terms of Caputo derivatives. The approach is based on the second kind Chebyshev wavelet. Our investigation is concentrated on convergence analysis and we prove a theorem for the error bound of the Chebyshev wavelets of the fractional differential in Caputo sense. Also, we discuss convergence analysis of the collocation method. In the end, some examples are presented to indicate the credibility and applicability of the numerical technique. The obtained results are compared with other numerical methods which our results are much more accurate than others.