Hereditary Riccati Equation with Fractional Derivative of Variable Order

The Riccati differential equation with a fractional derivative of variable order is considered. A in the original implies hereditary property medium, i.e., dependence current state dynamic system on its previous states. software called Numerical Solution Fractional-Differential Equation (briefly NSFDRE) created; it allows one to compute numerical solution Cauchy problem for order. algorithm implemented based approximation variable-order by finite differences and subsequent corresponding nonlinear algebraic system. New distribution modes depending specific type were obtained. We also show that some curves are other systems.