Sobolev-Type Nonlocal Conformable Stochastic Differential Equations

This paper is devoted to a class of nonlocal stochastic differential equations involving conformable fractional time derivative operator. Existence of mild solution for the nonlocal conformable stochastic differential equation is proved. Sufficient conditions for controllability and approximate controllability of the nonlocal conformable stochastic differential equation with impulsive conditions are established. An example is given to illustrate the obtained results.