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Kong, Xiangshan; Li, Haitao; Qin, Shulan; Zhao, Hongxin

Bifurcation of positive solutions for a three-point boundary-value problem of nonlinear fractional differential equations. (English) Zbl 1378.34014

J. Appl. Math. Comput. 54, No. 1-2, 81-93 (2017).
Summary: This paper studies the bifurcation of positive solutions for a three-point boundary-value problem of nonlinear fractional differential equations with parameter. Using the topological degree theory and the bifurcation technique, the existence of positive solutions is investigated and some sufficient conditions are obtained. The study of two illustrative examples shows that the obtained new results are effective.

MSC:

34A08 Fractional ordinary differential equations
34B18 Positive solutions to nonlinear boundary value problems for ordinary differential equations
34B10 Nonlocal and multipoint boundary value problems for ordinary differential equations
34C23 Bifurcation theory for ordinary differential equations
47N20 Applications of operator theory to differential and integral equations

Keywords:

positive solution; Riemann-Liouville fractional derivative; three-point boundary-value problem; bifurcation technique
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References:

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