Exponential Stability for Time-changed Stochastic Differential Equations

So far there have been few results presented on the exponential stability for time-changed stochastic differential equations.The main aim of this work is to fill this gap.By making use of general Lyapunov methods and time-changed Itôformula,we establish the exponential stability and almost sure exponential stability of solution to time-changed SDEs.Finally,we construct some examples to illustrate the effectiveness of our established theory.