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Existence of solutions for impulsive anti-periodic boundary value problems of fractional semilinear evolution equations. (English) Zbl 1226.26005

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:

26A33 Fractional derivatives and integrals
34A34 Nonlinear ordinary differential equations and systems
34B15 Nonlinear boundary value problems for ordinary differential equations
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