Owolanke, A. OTaiwo, A. OUwaheren, O. A2023-07-112023-07-112019Owolanke et. al.,2276-9595https://uilspace.unilorin.edu.ng/handle/20.500.12484/11423This work considered the construction of canonical polynomials and used as basis functions for the approximation of singular multi-order fractional integro-differential equations. The idea is that the singular multi-order problem is slightly perturbed with shifted Chebyshev polynomials, and the resulting equation is collocated at equally spaced interior points. The conditions are exponentially fitted with one tau-parameter along with the unknown constants. This results into a system of linear algebraic equations which are then solved using Gaussian elimination method to obtain the unknown parameters involved. Some examples are solved to demonstrate the effectiveness of the method.enCanonical Polynomials, Perturbed Collocation Method, Fractional Integro-Differential EquationsArticle