Existence of Solutions for Fractional Multi-Point Boundary Value Problems on an Infinite Interval at Resonance
This paper aims to investigate a class of fractional multi-point boundary value problems at resonance on an infinite interval. New existence results are obtained for the given problem using Mawhin’s coincidence degree theory. Moreover, two examples are given to illustrate the main results.
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doaj-167870e0e9f24787ad5b25acb183ec412020-11-25T01:27:39ZengMDPI AGMathematics2227-73902020-01-018112610.3390/math8010126math8010126Existence of Solutions for Fractional Multi-Point Boundary Value Problems on an Infinite Interval at ResonanceWei Zhang0Wenbin Liu1School of Mathematics, China University of Mining and Technology, Xuzhou 221116, ChinaSchool of Mathematics, China University of Mining and Technology, Xuzhou 221116, ChinaThis paper aims to investigate a class of fractional multi-point boundary value problems at resonance on an infinite interval. New existence results are obtained for the given problem using Mawhin’s coincidence degree theory. Moreover, two examples are given to illustrate the main results.https://www.mdpi.com/2227-7390/8/1/126fractional differential equationmulti-point boundary value problemresonanceinfinite intervalcoincidence degree theory |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Wei Zhang Wenbin Liu |
spellingShingle |
Wei Zhang Wenbin Liu Existence of Solutions for Fractional Multi-Point Boundary Value Problems on an Infinite Interval at Resonance Mathematics fractional differential equation multi-point boundary value problem resonance infinite interval coincidence degree theory |
author_facet |
Wei Zhang Wenbin Liu |
author_sort |
Wei Zhang |
title |
Existence of Solutions for Fractional Multi-Point Boundary Value Problems on an Infinite Interval at Resonance |
title_short |
Existence of Solutions for Fractional Multi-Point Boundary Value Problems on an Infinite Interval at Resonance |
title_full |
Existence of Solutions for Fractional Multi-Point Boundary Value Problems on an Infinite Interval at Resonance |
title_fullStr |
Existence of Solutions for Fractional Multi-Point Boundary Value Problems on an Infinite Interval at Resonance |
title_full_unstemmed |
Existence of Solutions for Fractional Multi-Point Boundary Value Problems on an Infinite Interval at Resonance |
title_sort |
existence of solutions for fractional multi-point boundary value problems on an infinite interval at resonance |
publisher |
MDPI AG |
series |
Mathematics |
issn |
2227-7390 |
publishDate |
2020-01-01 |
description |
This paper aims to investigate a class of fractional multi-point boundary value problems at resonance on an infinite interval. New existence results are obtained for the given problem using Mawhin’s coincidence degree theory. Moreover, two examples are given to illustrate the main results. |
topic |
fractional differential equation multi-point boundary value problem resonance infinite interval coincidence degree theory |
url |
https://www.mdpi.com/2227-7390/8/1/126 |
work_keys_str_mv |
AT weizhang existenceofsolutionsforfractionalmultipointboundaryvalueproblemsonaninfiniteintervalatresonance AT wenbinliu existenceofsolutionsforfractionalmultipointboundaryvalueproblemsonaninfiniteintervalatresonance |
_version_ |
1725103984555851776 |