Shifted chybeshev polynomials for a certain system of fractional order integro-differential equations

Abstract EN

The main goal of this paper lies briefly in submitting and modifying some numerical methods for solving system of linear Fractional order Integer- 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 in depended polynomials approximation fn (x) .The general fractional derivatives of these polynomials are formulated (Dα Tn* , Dα U n* , Da Vn*andD αWn* ) 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.