Electron. J. Diff. Eqns., Vol. 2008(2008), No. 146, pp. 1-9.

Existence of positive solutions for singular fractional differential equations

Tingting Qiu, Zhanbing Bai

Abstract:
In this article, we establish the existence of a positive solution to a singular boundary-value problem of nonlinear fractional differential equation. Our analysis rely on nonlinear alternative of Leray-Schauder type and Krasnoselskii's fixed point theorem in a cone.

Submitted April 4, 2008. Published October 24, 2008.
Math Subject Classifications: 34B15.
Key Words: Boundary value problem; positive solution; singular fractional differential equation; fixed-point theorem.

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Tingting Qiu
College of Information Science and Engineering
Shandong University of Science and Technology
Qingdao, 266510, China
email: qiutingting19833@163.com
Zhanbing Bai
College of Information Science and Engineering
Shandong University of Science and Technology
Qingdao, 266510, China
email: zhanbingbai@163.com

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