Results on finite time stability of various fractional order systems

Abstract

This article deals with the existence of the solution of Hilfer–Katugampola fractional derivatives, and we prove the stability results of the equilibrium point of the presented problem. Numerous authors have made substantial use of the concepts of fractional derivatives and fixed-point theory in order to produce stability results in neural networks containing complex-valued or real-valued inputs. In this connection, we discuss the finite stability of Caputo fractional derivatives as well as Caputo fractional-order complex-valued neural networks. We provide a numerical result that supports the theoretical discussion.