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Li, Peiluan; Shang, Youlin

Impulsive problems for fractional differential equations with nonlocal boundary value conditions. (English) Zbl 1474.34036

Abstr. Appl. Anal. 2014, Article ID 510808, 13 p. (2014).
Summary: We investigate the nonlocal boundary value problems of impulsive fractional differential equations. By Banach’s contraction mapping principle, Schaefer’s fixed point theorem, and the nonlinear alternative of Leray-Schauder type, some related new existence results are established via a new special hybrid singular type Gronwall inequality. At last, some examples are also given to illustrate the results.

Cited in 3 Documents

MSC:

34A08 Fractional ordinary differential equations
34B37 Boundary value problems with impulses for ordinary differential equations
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References:

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