An Efficient and Robust Numerical Solver for Impulsive Control of Fractional Chaotic Systems

This paper derives a computationally efficient and fast-running solver for the approximate solution of fractional differential equations with impulsive effects. In this connection, for approximating the fractional-order integral operator, a B-spline version of interpolation by corresponding equal mesh points is adopted. An illustrative example illustrates the accuracy of the new solver results as compared with those of the previous study. The proposed solver's performance is evaluated by the fractional Rossler and susceptible-exposed-infectious impulsive systems. Moreover, the effect of impulsive behaviors is shown for various values of impulsive.

Automated summary

This paper presents a computationally efficient and fast-running solver for fractional differential equations with impulsive effects. A B-spline version of interpolation by corresponding equal mesh points is used to approximate the fractional-order integral operator. An illustrative example compares the accuracy of the new solver results with those of a previous study. The performance of the proposed solver is evaluated using the fractional Rossler and susceptible-exposed-infectious impulsive systems, demonstrating the impact of impulsive behaviors for various impulsive values.