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.
"Sensitivity of a Fractional Integrodifferential Cauchy Problem of Volterra Type." Abstr. Appl. Anal. 2013 (SI61) 1 - 8, 2013. https://doi.org/10.1155/2013/129478