Existence and uniqueness results for a coupled system of nonlinear fractional differential equations with antiperiodic boundary conditions. (English) Zbl 1470.34034

Zhang, Huina; Gao, Wenjie

Abstr. Appl. Anal. 2014, Article ID 463517, 7 p. (2014).

Summary: This paper studies the existence and uniqueness of solutions for a coupled system of nonlinear fractional differential equations of order \(\alpha,\beta\in(4,5]\) with antiperiodic boundary conditions. Our results are based on the nonlinear alternative of Leray-Schauder type and the contraction mapping principle. Two illustrative examples are also presented.

MSC:

34A08	Fractional ordinary differential equations
34B15	Nonlinear boundary value problems for ordinary differential equations

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