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Positive solution of singular boundary value problem for a nonlinear fractional differential equation. (English) Zbl 1219.34010

Summary: The method of upper and lower solutions and the Schauder fixed point theorem are used to investigate the existence and uniqueness of a positive solution to a singular boundary value problem for a class of nonlinear fractional differential equations with non-monotone terms. Moreover, the existence of maximal and minimal solutions for the problem is also given.

MSC:

34A08 Fractional ordinary differential equations
34B16 Singular nonlinear boundary value problems for ordinary differential equations
34B18 Positive solutions to nonlinear boundary value problems for ordinary differential equations
47N20 Applications of operator theory to differential and integral equations
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