The main goal of this paper lies briefly in submitting and modifying some
numerical methods for solving system of linear Fractional order Integro- Differential
Equations of Fredholm type (L.FFIDE's). in this method four kinds of shifted
Chybeshev polynomials (T*,U*,V*and W*) are used as a bases of independed
polynomials approximation fn(x) .The general fractional derivatives of these
polynomials are formulated (Da Tn* , Da U n* , Da Vn*andD aWn* ) in the
framework of the Riemann-liouville definition .Some numerical examples are
solving to show that the different between these polynomials , furthermore
Algorithms and programs by using MATLAB program are given .