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A sufficient condition for the existence of a positive solution for a nonlinear fractional differential equation with the Riemann-Liouville derivative. (English) Zbl 1254.34012
Summary: By means of the fixed point theorem in a cone, we establish the existence of a positive solution to a class of boundary value problems for a nonlinear differential equation with a Riemann-Liouville fractional-order derivative. An example illustrating our main result is given.

MSC:
34A08 Fractional ordinary differential equations and fractional differential inclusions
34B15 Nonlinear boundary value problems for ordinary differential equations
47N20 Applications of operator theory to differential and integral equations
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