A Galerkin approach for fractional delay differential equations using hybrid Chelyshkov basis functions

This study proposes a numerical technique based on a hybrid of block-pulse functions and Chelyshkov polynomials to solve fractional delay differential equations. The Galerkin approach transforms the solution of fractional delay differential equations into a system of algebraic equations using the fractional operational matrix of integration for these hybrid functions. The suggested method's accuracy and efficiency are demonstrated using numerical examples.