Oyedepo Taiye - Department of Applied Science, Faculty of Pure and Applied Science,Federal College of Dental Technology and Therapy, Enugu, Nigerian
Taiwo Adebayo - Department of Mathematics, University of Ilorin, Ilorin, Nigerian
Adewale James - Department of Mathematics, America University of Nigerian
Ishaq Adam - Department of Physical Sciences, Al-Hihmah University, Ilorin, Nigerian
Ayinde Muhammed - Department of Mathematics, Modibbo Adama University, Yola, Nigerian

This study presents the approximate solutions of a system of Fractional Integro-Differential Equations (FIDEs) with least squares collocation Chebyshev technique. The technique reduce the problem to system of linear algebraic equations and then solved. The applicability of this method has been demonstrated by numerical examples. Numerical results show that the method is easy to implement and compares favorably with the exact results.

System of linear fractional integro-differential equations, Least Squares Collocation, Chebyshev polynomials