Faouzi Omri
abstract:
In this paper, we present a new inequality which involves the conformable
fractional derivative of the product of two continuously differentiable
functions, and establish its various properties. The inequality and its
properties enable us to construct potential time-varying Lyapunov functions for
the stability and stabilization of conformable fractional order systems. Some
examples are given to illustrate the efficiency of the obtained results.
Mathematics Subject Classification: 34A08, 34D20, 93D15
Key words and phrases: Stability, stabilization, nonautonomous conformable fractional system, time-varying Lyapunov functions, fractional exponential stability