SOME FRACTIONAL COMPARISON RESULTS AND STABILITY THEOREM FOR FRACTIONAL TIME DELAY SYSTEMS

摘要

In this paper, we have investigated that boundedness criteria and Lyapunov stability for fractional order time delay systems (fractional order differential-difference equations) in Caputo's sense are unified with Lyapunov-like functions to establish comparison result. The qualitative behaviour of a fractional order time-delay differential equation with Caputo's derivative has been studied. We present some new comparison results that again give the null solution a central role in the comparison fractional order differential systems with delay when establishing boundedness criteria and Lyapunov stability of these systems in Caputo's sense.