Construction controllability for conformable fractional stochastic evolution system with noninstantaneous impulse and nonlocal condition

Abstract

Conformable fractional stochastic differential equation with noninstantaneous impulse and Poisson jump via nonlocal condition is studied. Controllability for the considered problem is constructed. The required results are established based on fractional calculus, stochastic analysis, and Sadovskii’s fixed point theorem. Moreover, an example is provided to illustrate the applicability of the results.