Some properties of Synchronization and Fractional Equations

Abstract

In this paper we propose the definition of Mittag-Leffler stability and introduce the stabilization of nonlinear fractional order dynamic systems. Then we provide the fractional comparison principle. We partly extended the application of Riemann-Liouville fractional systems by using Caputo fractional systems. An illustrative example is provided as a proof of concept .We also studied certain properties of fractional calculus associated with Laplace transforms