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Zbl 1207.34012
Wang, Jinhua; Xiang, Hongjun; Liu, Zhigang
Positive solution to nonzero boundary values problem for a coupled system of nonlinear fractional differential equations. (English)
[J] Int. J. Differ. Equ. 2010, Article ID 186928, 12 p. (2010). ISSN 1687-9643; ISSN 1687-9651/e

Summary: We consider the existence and uniqueness of a positive solution to a nonzero boundary value problem for a coupled system of fractional differential equations. The differential operator is taken in the standard Riemann-Liouville sense. By using the Banach fixed point theorem and nonlinear differentiation of Leray-Schauder type, the existence and uniqueness of a positive solution are obtained. Two examples are given to demonstrate the feasibility of the obtained results.

MSC 2000:: *34A08
34B18 Positive solutions of nonlinear boundary value problems
47N20 Appl. of operator theory to differential and integral equations

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