Geodesic
Existence of three non-negative solutions for a three-point boundary-value problem of nonlinear fractional differential equations
Electronic journal of differential equations, Tome 2012 (2012)
This article concerns the existence of three non-negative solutions for two kinds of three-point boundary-value problems of nonlinear fractional differential equations, where the fractional derivative is taken in the Riemann-Liouville sense. Using Leggett-Williams fixed point theorem, we present some existence criteria and then illustrate our results with examples.
Classification : 34B10, 34A08
Keywords: non-negative solutions, Riemann-Liouville fractional derivative, three-point boundary-value problems, Leggett-Williams fixed point theorem 
@article{EJDE_2012__2012__a86,
     author = {Li,  Haitao and Kong,  Xiangshan and Yu,  Changtian},
     title = {Existence of three non-negative solutions for a three-point boundary-value problem of nonlinear fractional differential equations},
     journal = {Electronic journal of differential equations},
     year = {2012},
     volume = {2012},
     zbl = {1261.34008},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2012__2012__a86/}
}
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%J Electronic journal of differential equations
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%F EJDE_2012__2012__a86
Li,  Haitao; Kong,  Xiangshan; Yu,  Changtian. Existence of three non-negative solutions for a three-point boundary-value problem of nonlinear fractional differential equations. Electronic journal of differential equations, Tome 2012 (2012). http://geodesic.mathdoc.fr/item/EJDE_2012__2012__a86/