We introduce a new notion called fractional stochastic nonlocal condition, and then we study approximate controllability of class of fractional stochastic nonlinear differential equations of Sobolev type in Hilbert spaces. ...

In this work, the controllability result of a class of fractional evolution nonlocal impulsive quasilinear delay integro-differential systems in a Banach space has been established by using the theory of fractional calculus, ...

We discuss the existence of solutions for a class of some separated boundary differential inclusions of fractional orders 2 < alpha < 3 involving the Caputo derivative. In order to obtain necessary conditions for the ...