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Positive solutions for fractional differential equations with integral and infinite-point boundary conditions. (English) Zbl 1463.34101

Summary: We study the positive solutions of a class of fractional differential equations with integral boundary conditions and infinite-point boundary value conditions. By means of the properties of Green function and the fixed point theorem of cone expansion and compression of norm type, the existence results of the positive solution of the boundary value problem are obtained. Finally, we also give an example to illustrate the applicability of the results.

MSC:

34B18 Positive solutions to nonlinear boundary value problems for ordinary differential equations
34A08 Fractional ordinary differential equations
34B10 Nonlocal and multipoint boundary value problems for ordinary differential equations
34B27 Green’s functions for ordinary differential equations
47N20 Applications of operator theory to differential and integral equations
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