Positive solution for a class of Caputo-type fractional differential equations
Keywords:Fractional differential equations, Caputo fractional derivative, upper and lower solutions, Fixed point theorem
In this paper, we investigate the existence and uniqueness of positive solutions for a class of Caputo-type fractional differential equations with nonlocal integral boundary conditions. Our analysis based on constructing the upper and lower control functions of the nonlinear terms without having any monotone conditions except the continuity, Green function, and Schauder's (Banach's) fixed point technique on a cone. Finally, some examples are given to substantiate our main results.
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