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Zbl 1214.34009
Wang, Guotao; Ahmad, Bashir; Zhang, Lihong
Impulsive anti-periodic boundary value problem for nonlinear differential equations of fractional order. (English)
[J] Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 3, 792-804 (2011). ISSN 0362-546X

Sufficient conditions for the existence and uniqueness of a solution to an anti-periodic boundary value problem of nonlinear impulsive differential equations of fractional order $\alpha \in (2,3]$ are presented. The main tools are some well-known fixed point theorems. Two examples are given to demonstrate the main results.
[Chuanzhi Bai (Huaian)]

MSC 2000:: *34A08
34B37 Boundary value problems with impulses
47N20 Appl. of operator theory to differential and integral equations

Keywords: nonlinear fractional differential equations; impulse; anti-periodic boundary value problem; fixed point theorem

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