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.

Bibliographic Details
Main Authors: Wei Zhang, Wenbin Liu
Format: Article
Language:English
Published: MDPI AG 2020-01-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/8/1/126
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spelling 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
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