Existence and multiplicity of solutions of fractional differential equations on infinite intervals
type: Item
instance of: scholarly article
title: Existence and multiplicity of solutions of fractional differential equations on infinite intervals
zbMATH Open document ID: 1548.3402
author: Weichen Zhou
author: Zhaocai Hao
author: Martin Bohner
published in: Boundary Value Problems
publication date: 2024-07-12T00:00:00Z
review text: The authors study the existence and multiplicity of solutions to a boundary value problem (BVP) of a higher-order Riemann-Liouville fractional differential equation with suitable assumptions on the nonlinearity. The monotone iteration and the Leggett-Williams fixed point theorem were employed. An example is provided to show the application of theoretic results on the existence of three solutions.\N\NReviewer's remark: Lemma 2.4 of this paper needs extra conditions to ensure the existence and uniqueness, see Theorem 2.5 in [\textit{K. Lan}, Proc. Am. Math. Soc. 148, No. 12, 5225--5234 (2020; Zbl 1455.34007)].
reviewed by: K. Q. Lan
Mathematics Subject Classification ID: 34B40
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 34A45
Mathematics Subject Classification ID: 47H10
zbMATH DE Number: 7880446
zbMATH Keywords: fractional differential equation
zbMATH Keywords: infinite intervals
zbMATH Keywords: monotone iteration
zbMATH Keywords: Leggett-Williams fixed point theorem
MaRDI profile type: Publication
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DOI: 10.1186/S13661-024-01832-8
description: scientific article; zbMATH DE number 7880446