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Zbl 1167.45003
Existence results for nonlinear boundary value problems of fractional integrodifferential equations with integral boundary conditions.
(English)
[J] Bound. Value Probl. 2009, Article ID 708576, 11 p. (2009). ISSN 1687-2770/e

Summary: This paper deals with some existence results for a boundary value problem involving a nonlinear integrodifferential equation of fractional order $q\in (1,2]$ with integral boundary conditions. Our results are based on contraction mapping principle and Krasnosel'ski{\u\i}'s fixed point theorem.
MSC 2000:
*45J05 Integro-ordinary differential equations
45G10 Nonsingular nonlinear integral equations
26A33 Fractional derivatives and integrals (real functions)

Keywords: boundary value problem; nonlinear integrodifferential equation of fractional order; integral boundary conditions; contraction mapping principle; Krasnosel'ski{\u\i}'s fixed point theorem

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