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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Texas State University
2012-12-01
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Online Access: | http://ejde.math.txstate.edu/Volumes/2012/230/abstr.html |
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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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1725406132662435840 |