A collocation method for solving the fractional calculus of variation problems

Abstract

In this paper we use a family of Muntz polynomials and a computational technique based on the collocation method to solve the calculus variation problem. This approach is utilized to reduce the solution of linear and nonlinear fractional order dierential equations to the solution of a system of algebraic equations. Thus we can obtain a good approximation even by using a smaller of collocation points.

Keywords

• Muntz-Legendre polynomials, orthogonal system, fractional dierential equation, collocation method, Capotu fractional derivative