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Zbl 1226.26005
Agarwal, Ravi P.; Ahmad, Bashir
Existence of solutions for impulsive anti-periodic boundary value problems of fractional semilinear evolution equations. (English)
[J] Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal. 18, No. 4, 457-470 (2011). ISSN 1201-3390; ISSN 1918-2538/e

Summary: We study the existence and uniqueness of solutions for impulsive semilinear evolution equations of fractional order $q\in(1,2]$ with anti-periodic boundary conditions. The contraction mapping principle and Krasnosel'skii's fixed point theorem are applied to prove the main results. An illustrative example is also presented.

MSC 2000:: *26A33 Fractional derivatives and integrals (real functions)
34A34 Nonlinear ODE and systems, general
34B15 Nonlinear boundary value problems of ODE

Keywords: evolution equations of fractional order; impulse; anti-periodic boundary conditions; existence; contraction mapping principle; Krasnoselskii's fixed point theorem

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