Solving fractional di erential equations using operational matrix of Genocchi polynomials

The aim of this paper was to investigate solutions of fractional di erential equations (FDEs). The numerical solutions of this FDEs is obtained by Genocchi polynomials.we use operational matrix of fractional integration of this polynomials. The important point to note here is the given problem turns to a set of algebraic equations by expand- ing the solution as Genocchi polynomials with unknown coe cients. Then, by solving algebraic equations, the numerical solutions are obtained. Illustrative examples are nally given to show the applicability of the suggested technique.

Keywords:

Fractional Di erential Equation , Genocchi polynomial , Operational ma-trix