APPROXIMATE CONTROLLABILITY OF RIEMANN-LIOUVILLE FRACTIONAL STOCHASTIC EVOLUTION SYSTEMS

Abstract

This paper deals with the existence as well as the approximate controllability of Riemann-Liouville fractional stochastic evolution systems of Sobolev type with nonlocal initial conditions in abstract spaces. When the operator semigroup is noncompact and the nonlocal function is not Lipschitz continuous and not compact, the existence as well as the approximate controllability of the concerned problem are investigated. Finally, an application example is given.