Electron. J. Diff. Equ., Vol. 2012 (2012), No. 230, pp. 1-14.

Solvability of fractional-order multi-point boundary-value problems at resonance on the half-line

Yi Chen, Zhanmei Lv

Abstract:
In this article, we study a fractional differential equation. By constructing two special Banach spaces and establishing an appropriate compactness criterion, we present some existence results about the boundary-value problem at resonance via Mawhin's continuation theorem of coincidence degree theory.

Submitted July 13, 2012. Published December 18, 2012.
Math Subject Classifications: 26A33, 34A08, 34A34.
Key Words: Fractional order; half-line; coincidence degree; resonance.

Show me the PDF file (258 KB), TEX file, and other files for this article.

Yi Chen
School of Mathematics and Statistics
Central South University
Changsha, Hunan 410083, China
email: mathcyt@163.com
Zhanmei Lv
School of Business
Central South University
Changsha, Hunan 410083, China
email: cy2008csu@163.com

Return to the EJDE web page