# American Institute of Mathematical Sciences

2013, 2013(special): 283-290. doi: 10.3934/proc.2013.2013.283

## Positive solutions of nonlocal fractional boundary value problems

 1 Department of Mathematics, University of Tennessee at Chattanooga, Chattanooga, TN 37403, United States, United States 2 Department of Mathematics, Northern Illinois University, DeKalb, Il 60115

Received  August 2012 Published  November 2013

The authors study a type of nonlinear fractional boundary value problem with nonlocal boundary conditions. An associated Green's function is constructed. Then a criterion for the existence of at least one positive solution is obtained by using fixed point theory on cones.
Citation: John R. Graef, Lingju Kong, Qingkai Kong, Min Wang. Positive solutions of nonlocal fractional boundary value problems. Conference Publications, 2013, 2013 (special) : 283-290. doi: 10.3934/proc.2013.2013.283
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