Sensitivity of a Fractional Integrodifferential Cauchy Problem of Volterra Type

Dariusz Idczak, Andrzej Skowron and Stanisław Walczak

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

Abstract: 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.

Date: 2013
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https://doi.org/10.1155/2013/129478

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:129478

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