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Riemann-Liouville fractional integro-differential equations with fractional nonlocal integral boundary conditions. (English) Zbl 1275.45004

Summary: This article investigates a boundary value problem of Riemann-Liouville fractional integro-differential equations with fractional nonlocal integral boundary conditions. Some new existence results are obtained by applying standard fixed point theorems.

MSC:

45J05 Integro-ordinary differential equations
26A33 Fractional derivatives and integrals
45G10 Other nonlinear integral equations
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References:

[1] doi:10.1016/j.nonrwa.2010.01.002 · Zbl 1248.34004
[2] doi:10.1016/j.na.2009.11.029 · Zbl 1188.34005
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[4] doi:10.1016/j.aml.2009.11.004 · Zbl 1198.34007
[5] doi:10.1016/j.camwa.2011.02.034 · Zbl 1228.34010
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[11] doi:10.1016/j.jmaa.2010.01.023 · Zbl 1191.34008
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