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

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

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 deg...

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Bibliographic Details
Main Authors:	Yi Chen, Zhanmei Lv
Format:	Article
Language:	English
Published:	Texas State University 2012-12-01
Series:	Electronic Journal of Differential Equations
Subjects:	Fractional order half-line coincidence degree resonance
Online Access:	http://ejde.math.txstate.edu/Volumes/2012/230/abstr.html

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spelling	doaj-38e66086c0984e529ced3ea5b0c1ba6f2020-11-25T00:10:56ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912012-12-012012230,114Solvability of fractional-order multi-point boundary-value problems at resonance on the half-lineYi ChenZhanmei LvIn 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. http://ejde.math.txstate.edu/Volumes/2012/230/abstr.htmlFractional orderhalf-linecoincidence degreeresonance
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Yi Chen Zhanmei Lv
spellingShingle	Yi Chen Zhanmei Lv Solvability of fractional-order multi-point boundary-value problems at resonance on the half-line Electronic Journal of Differential Equations Fractional order half-line coincidence degree resonance
author_facet	Yi Chen Zhanmei Lv
author_sort	Yi Chen
title	Solvability of fractional-order multi-point boundary-value problems at resonance on the half-line
title_short	Solvability of fractional-order multi-point boundary-value problems at resonance on the half-line
title_full	Solvability of fractional-order multi-point boundary-value problems at resonance on the half-line
title_fullStr	Solvability of fractional-order multi-point boundary-value problems at resonance on the half-line
title_full_unstemmed	Solvability of fractional-order multi-point boundary-value problems at resonance on the half-line
title_sort	solvability of fractional-order multi-point boundary-value problems at resonance on the half-line
publisher	Texas State University
series	Electronic Journal of Differential Equations
issn	1072-6691
publishDate	2012-12-01
description	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.
topic	Fractional order half-line coincidence degree resonance
url	http://ejde.math.txstate.edu/Volumes/2012/230/abstr.html
work_keys_str_mv	AT yichen solvabilityoffractionalordermultipointboundaryvalueproblemsatresonanceonthehalfline AT zhanmeilv solvabilityoffractionalordermultipointboundaryvalueproblemsatresonanceonthehalfline
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Solvability of fractional-order multi-point boundary-value problems at resonance on the half-line

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