Legendre wavelet method for fractional delay differential equations

Abstract Legendre wavelets and their exact Riemann-Liouville fractional integrals are used to compute numerical solutions to fractional delay differential equations, by reducing the problem to algebraic equations. An error bound of Legendre wavelet approximation is analytically computed, which implies the approximation converges when the degree of the Legendre polynomials or the number of wavelets approaches infinity. Finally, several numerical examples are considered.