The existence of positive solution to three-point singular boundary value problem of fractional differential equation. (English) Zbl 1190.34004

Tian, Yuansheng; Chen, Anping

Abstr. Appl. Anal. 2009, Article ID 314656, 18 p. (2009).

The authors investigate the existence of positive solutions to nonlinear fractional differential equations satisfying a three-point boundary value problem. Following preliminaries which provide definitions, basic results, and background, the authors present their main result which provides conditions for the existence of a positive solution. The paper concludes with an example.

Reviewer: Neville Ford (Chester)

MSC:

34A08	Fractional ordinary differential equations
34B18	Positive solutions to nonlinear boundary value problems for ordinary differential equations
34B16	Singular nonlinear boundary value problems for ordinary differential equations

Keywords:

fractional differential equations; three-point boundary value problem; positive solutions

References:

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