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 )
* *
,
*
,
*
( Wn D Tn D U n D Vn
andD a a a a in the
framework of the Riemannliouville definition .Some numerical examples are
solving to show that the different between these polynomials , furthermore
Algorithms and programs by using MATLAB program are given .
Keywords : Shifted Chybeshev Polynomials, System of fractional integrodifferential
equations.
