Electron. J. Diff. Equ., Vol. 2012 (2012), No. 238, pp. 1-15.

Existence and multiplicity of positive solutions for m-point nonlinear fractional differential equations on the half line

Kazem Ghanbari, Yousef Gholami

Abstract:
In this article we find sufficient conditions for existence and multiplicity of positive solutions for an m-point nonlinear fractional boundary-value problem on an infinite interval. Moreover, we prove that the set of positive solutions is compact. Nonexistence results for the boundary-value problem also are obtained.

Submitted August 3, 2012. Published December 28, 2012.
Math Subject Classifications: 34A08, 34B10, 34B15, 34B18.
Key Words: Fractional derivative; fixed point theorem; positive solution.

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Kazem Ghanbari
Department of Mathematics
Sahand University of Technology
Tabriz, Iran
email: kghanbari@sut.ac.ir
  Yousef Gholami
Department of Mathematics
Sahand University of Technology
Tabriz, Iran
email: y_gholami@sut.ac.ir

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