Abstract
This paper applies the shifted Jacobi-Gauss collocation (SJ-G-C) method for solving variable-order fractional integro-differential equations (VO-FIDE) with initial conditions. The Riemann-Liouville fractional derivative, , and integral, , of variable order are combined, and the SJ-G-C applied to produce a system of algebraic equations. Numerical experiments demonstrate the applicability and reliability of the algorithm when compared with current methods.