A numerical approach based on fractional-order hybrid functions of block-pulse and Bernoulli polynomials for numerical solutions of fractional optimal control problems

Abstract

We present, an accurate and efficient computational method based on the fractional-order hybrid of block-pulse functions and Bernoulli polynomials for solving fractional optimal control problems. The Riemann–Liouville fractional integral operator for the fractional-order hybrid of block-pulse functions and Bernoulli polynomials is constructed. The original problem is transformed to a system of algebraic equations which can be solved easily. The method is very accurate and is computationally very attractive. Examples are included to provide the capacity of the proposal method.