Application of Power Series Method for Solving Obstacle Problem of Fractional Order

An effective numerical method depends on the fractional power series is applied to solving a class of boundary value problems associated with obstacle, unilateral, and contact problems of fractional order $2\alpha, 0\lt \alpha\leq 1$. The fractional derivative is considered in the Caputo sense. This method constructs a convergent sequence of approximate solutions for the obstacle problem. A numerical example is given to illustrate the higher accuracy of this technique.