Positive solutions of a fractional thermostat model. (English) Zbl 1280.35166

Summary: 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.


35R11 Fractional partial differential equations
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