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Zbl 1193.34007
Tian, Yuansheng; Bai, Zhanbing
Existence results for the three-point impulsive boundary value problem involving fractional differential equations. (English)
[J] Comput. Math. Appl. 59, No. 8, 2601-2609 (2010). ISSN 0898-1221

Summary: We consider the existence of solutions for a class of three-point boundary value problems involving nonlinear impulsive fractional differential equations. By use of Banach's fixed point theorem and Schauder's fixed point theorem, some existence results are obtained.
MSC 2000:
*34A08
26A33 Fractional derivatives and integrals (real functions)
34B37 Boundary value problems with impulses
45J05 Integro-ordinary differential equations

Keywords: fractional differential equation; impulse; three-point boundary value problem; fixed point theorem

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