Appell Type Changhee Polynomials Operational Matrix of Fractional Derivatives and its Applications

Abstract

In this paper, a fractional order differential equation (FDEs), will be solved numerically through a new approximative technique based on Appell type Changhee polynomials. The operational of fractional order derivative will be constructed, then its application together with collocation method in solving fractional differential equations (FDEs) will be presented. The fractional derivatives in the FDEs are described in the Caputo sense. Some numerical examples are finally given to show the accuracy and applicability of the new operational matrix.

Keywords

• appell type changhee polynomials
• operational matrix
• collocation methods