An analysis on fractional non-local stochastic neutral delay differential equations with non-instantaneous impulses

A family of fractional non-local stochastic neutral differential equations (FNSNDE) including non-instantaneous impulses of order ( 1 , 2 ] in any separable Hilbert space is proposed in this article. To define approximations, we employ projection operators and an expanding succession of finite dimensional subspaces in our projected scheme. We apply fixed point approach, stochastic analysis and theory of fractional linear operators to show the existence of a mild solution. Lastly, a practical example utilizing a partial differential equation is given to confirm the abstract findings.