Geodesic
Uniqueness of positive solutions for a fractional differential equation via a fixed point theorem of a sum operator
Electronic journal of differential equations, Tome 2012 (2012)
In this work, we study the existence and uniqueness of positive solutions for nonlinear fractional differential equation boundary-value problems. Our analysis relies on a fixed point theorem of a sum operator. Our results guarantee the existence of a unique positive solution, and can be applied for constructing an iterative scheme for obtaining the solution.
Classification : 34B18
Keywords: Riemann-Liouville fractional derivative, positive solution, fractional differential equation, existence and uniqueness, fixed point theorem 
@article{EJDE_2012__2012__a49,
     author = {Yang,  Chen and Zhai,  Chengbo},
     title = {Uniqueness of positive solutions for a fractional differential equation via a fixed point theorem of a sum operator},
     journal = {Electronic journal of differential equations},
     year = {2012},
     volume = {2012},
     zbl = {1261.34011},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2012__2012__a49/}
}
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Yang,  Chen; Zhai,  Chengbo. Uniqueness of positive solutions for a fractional differential equation via a fixed point theorem of a sum operator. Electronic journal of differential equations, Tome 2012 (2012). http://geodesic.mathdoc.fr/item/EJDE_2012__2012__a49/