Published on November 2019 | Factional order differential equation, Boundary value problem

A Numerical Scheme for Solving Nonlinear Boundary Value Problems of Fractional Order 0 ≤ β ≤ α < 1

The primary objective of this research work is to find accurate numerical approximations for nonlinear fractional-order boundary value problems (BVPs). To carry out this goal, the central finite difference scheme of order four is used to approximate first- and second-order derivatives. Integrals are approximated using the composite Trapezoidal rule in “the Caputo definition”. The effectiveness of the proposed scheme is illustrated by solving nonlinear fractional-order BVPs of order 0 ≤ β ≤ α < 1.