Existence results for the three-point impulsive boundary value problem involving fractional differential equations. (English) Zbl 1193.34007
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:
34A08 | Fractional ordinary differential equations |
26A33 | Fractional derivatives and integrals |
34B37 | Boundary value problems with impulses for ordinary differential equations |
45J05 | Integro-ordinary differential equations |
Keywords:
fractional differential equation; impulse; three-point boundary value problem; fixed point theoremReferences:
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