Sensitivity of a Fractional Integrodifferential Cauchy Problem of Volterra Type | Zendy

Dariusz Idczak | Zendy; Andrzej Skowron | Zendy; Stanisław Walczak | Zendy

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Sensitivity of a Fractional Integrodifferential Cauchy Problem of Volterra Type

Author(s) -

Dariusz Idczak,

Andrzej Skowron,

Stanisław Walczak

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/129478

Subject(s) - mathematics , uniqueness , differentiable function , pure mathematics , type (biology) , sensitivity (control systems) , cauchy distribution , banach space , initial value problem , mathematical analysis , cauchy problem , fractional calculus , ecology , electronic engineering , engineering , biology

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

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