Asymptotical stability analysis of conformable fractional systems

Abstract

In this paper, we analyses the asymptotical stability of the system in the form ${T_\alpha }y(\tau ){ = A}y(\tau ) + f(\tau ,y(\tau )) $ with the initial value $y({\tau _0}) = {y_0} $. With the help of the Grönwall's Inequality and function analysis, we have proved asymptotical stability of solution for the conformable fractional system. Two examples are included to apply the results.

Keywords

• conformable fractional
• exponential stability
• asymptotical stability