%0 Journal Article %T Positive solutions of a fractional thermostat model %A Juan J Nieto %A and Johnatan Pimentel %J Boundary Value Problems %D 2013 %I %R 10.1186/1687-2770-2013-5 %X We study the existence of positive solutions of a nonlinear fractional heat equation with nonlocal boundary conditions depending on a positive parameter. Our results extend the second-order thermostat model to the non-integer case. We base our analysis on the known Guo-Krasnosel¡¯skii fixed point theorem on cones. %U http://www.boundaryvalueproblems.com/content/2013/1/5/abstract