Nonconvex fractional partial hyperbolic differential inclusions with unbounded delay

The initial value problem for partial hyperbolic differential inclusions with infinite delay when the right hand side is nonconvex valued described by the fractional operator is considered in the present investigation. The used fractional operator is the Caputo derivative. In the present paper, the fixed point theorem for contraction multivalued maps due to Covitz and Nadler is used in existence investigations