A Novel Method for Solutions of Fourth-Order Fractional Boundary Value Problems

Abstract

In this paper, we find the solutions of fourth order fractional boundary value problems by using the reproducing kernel Hilbert space method. Firstly, the reproducing kernel Hilbert space method is introduced and then the method is applied to this kind problems. The experiments are discussed and the approximate solutions are obtained to be more correct compared to the other obtained results in the literature.

Keywords

• fourth-order fractional boundary value problems
• reproducing kernel method
• operators