A new class of global fractional-order projective dynamical system with an application (Q2338460)

The authors consider a projective dynamical system with delay. The derivative is taken as fractional of Caputo's type. In projected dynamical systems, they investigate the behaviour of dynamical systems when the solutions are restricted to a constraint set. The existence and uniqueness of solutions in a closed and bounded interval for this class of equations are shown. The techniques used are Krasnoselskii's fixed point theorem and the Banach fixed point theorem. The authors use the modified Adams-Bashforth-Moulton algorithm to solve the problem numerically. To illustrate the analytical findings, numerical examples are provided.