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Existence of Solutions for Fractional Multi-Point Boundary Value Problems on an Infinite Interval at Resonance

Wei Zhang and Wenbin Liu
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Wei Zhang: School of Mathematics, China University of Mining and Technology, Xuzhou 221116, China
Wenbin Liu: School of Mathematics, China University of Mining and Technology, Xuzhou 221116, China

Mathematics, 2020, vol. 8, issue 1, 1-22

Abstract: 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.

Keywords: fractional differential equation; multi-point boundary value problem; resonance; infinite interval; coincidence degree theory (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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