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Zbl 1228.34021
Wang, Guotao; Ahmad, Bashir; Zhang, Lihong
Some existence results for impulsive nonlinear fractional differential equations with mixed boundary conditions. (English)
[J] Comput. Math. Appl. 62, No. 3, 1389-1397 (2011). ISSN 0898-1221

Summary: We investigate the existence and uniqueness of solutions for an impulsive mixed boundary value problem of nonlinear differential equations of fractional order $\alpha \in (1,2]$. Our results are based on some standard fixed point theorems. Some examples are presented to illustrate the main results.
MSC 2000:
*34A08
34B37 Boundary value problems with impulses
47H10 Fixed point theorems for nonlinear operators on topol.linear spaces

Keywords: nonlinear fractional differential equations; impulse; mixed boundary value problem; fixed point theorem

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