Operational Matrix Method for Solving Fractional System of Riccati Equations

In this article, we study system of Riccati equations using the operational matrix method. This system is important since it has several applications in different areas such as random process, optimal control, and diffusion process. We derive the operational matrices to be able to solve this system. We simplify it in the form so that we can reduce the computational cost by solving system of two equations in two unknowns iteratively instead of solving large system. This is also effect on the accuracy of the proposed method. We solve two examples to demonstrate the accuracy of our approach. Results show that the residual error is very small.