Analysis of Fractional Input Stability and Global Asymptotic Stability of Systems of Fractional Differential Equations

Fractional input stability and global asymptotic stability of systems of fractional differential equations have been studied in the sense of Caputo. Systems of fractional differential equations have been studied using Lyapunov method and other known stability notions. Two stability theorems have been stated and proved. Examples are given to demonstrate the utilization of the theorems.