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Positive solutions for nonlinear fractional differential equations with coefficient that changes sign

✍ Scribed by Chuanzhi Bai

Publisher: Elsevier Science
Year: 2006
Tongue: English
Weight: 119 KB
Volume: 64
Category: Article
ISSN: 0362-546X
DOI: 10.1016/j.na.2005.04.047

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✦ Synopsis

In this paper, we investigate the existence of positive solutions in case of the nonlinear fractional differential equation

where 0 < s < 1, D s is the standard Riemann-Liouville fractional derivative, f : [0, ∞) → [0, ∞), f (0) > 0, a : [0, 1] → (-∞, +∞) may change sign, and > 0 is a parameter. Our analysis relies on a nonlinear alternative of Leray-Schauder type.

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