Hybrid Functions Approach for the Fractional Riccati Differential Equation

Abstract

In this paper, we state an efficient method for solving the
fractional Riccati differential equation. This equation plays an
important role in modeling the various phenomena in physics and
engineering. Our approach is based on operational matrices of
fractional differential equations with hybrid of block-pulse
functions and Chebyshev polynomials. Convergence of hybrid
functions and error bound of approximation by this basis are
discussed. Implementation of this method is without ambiguity with
better accuracy than its counterpart other approaches. The
reliability and efficiency of the proposed scheme are demonstrated
by some numerical experiments.