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Open Access Research

Positive solutions of fractional differential equations at resonance on the half-line

Yi Chen and Xianhua Tang*

Author Affiliations

School of Mathematical Sciences and Computing Technology, Central South University, Changsha, Hunan, 410083, P.R. China

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Boundary Value Problems 2012, 2012:64  doi:10.1186/1687-2770-2012-64

Published: 22 June 2012

Abstract

This article deals with the differential equations of fractional order on the half-line. By the recent Leggett-Williams norm-type theorem due to O’Regan and Zima, we present some new results on the existence of positive solutions for the fractional boundary value problems at resonance on unbounded domains.

MSC: 26A33, 34A08, 34A34.

Keywords:
fractional order; half-line; coincidence degree; at resonance