Sensitivity of a Fractional Integrodifferential Cauchy Problem of Volterra Type

Abstract EN

We prove a theorem on the existence and uniqueness of a solution as well as on a sensitivity (i.e., differentiable dependence of a solution on a functional parameter) of a fractional integrodifferential Cauchy problem of Volterra type.

The proof of this result is based on a theorem on diffeomorphism between Banach and Hilbert spaces.

The main assumption is the Palais-Smale condition.