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Zbl 1228.34018
Feng, Wenquan; Sun, Shurong; Han, Zhenlai; Zhao, Yige
Existence of solutions for a singular system of nonlinear fractional differential equations. (English)
[J] Comput. Math. Appl. 62, No. 3, 1370-1378 (2011). ISSN 0898-1221

Summary: We establish the existence of positive solutions for a singular system of nonlinear fractional differential equations. The differential operator is taken in the standard Riemann-Liouville sense. By using Green's function and its corresponding properties, we transform the derivative systems into equivalent integral systems. The existence is based on a nonlinear alternative of Leray-Schauder type and Krasnoselskii's fixed point theorem in a cone.

MSC 2000:: *34A08
45K05 Integro-partial differential equations
47H10 Fixed point theorems for nonlinear operators on topol.linear spaces

Keywords: fractional order; singular system; fixed point theorem; fractional Green's function

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