Optimal Control Problems for Hilfer Fractional Neutral Stochastic Evolution Hemivariational Inequalities

In this paper, we concentrate on a control system with non-local condition that is governed by Hilfer fractional neutral stochastic evolution hemivariational inequality (HFNSEHVI). By using concepts of the generalized Clarke sub-differential and fixed point theorem for multivalued maps, first demonstrate adequate requirements existence mild solutions to concerned system. Then, limited Lagrange optimal systems, state-control pairs are regulated an HFNSEHVI condition. order points, symmetric structure spaces operators create essential. Without considering uniqueness system’s solutions, best results established. Lastly, illustration used major result.