On abstract Cauchy problems in the frame of a generalized Caputo type derivative

In this paper, we consider a class of abstract Cauchy problems in the framework generalized Caputo type fractional. We discuss existence and uniqueness mild solutions to such fractional differential equations by using properties found related calculus, theory uniformly continuous semigroups operators fixed point theorem. Moreover, dependence on parameters Ulam stability solutions. At end bring forth some examples endorse obtained results