Numerical solution of fractional differential equations with temporal two-point BVPs using reproducing kernal Hilbert space method

Abstract

In this paper, the reproducing kernel Hilbert space method had been extended to model a numerical solution with two-point temporal boundary conditions for the fractional derivative in the Caputo sense, convergent analysis and error bounds are discussed to verify the theoretical results. Numerical examples are given to illustrate the accuracy and efficiency of the presented approach.

Keywords

• reproducing kernel hilbert space method (rkhsm)
• fractional differential equations
• temporal two-point boundary value problems
• numerical method
• approximate solution