Existence and multiplicity of solutions of fractional differential equations on infinite intervals

IF 1.7 4区数学 Q1 Mathematics

Boundary Value Problems Pub Date : 2024-02-08 DOI:10.1186/s13661-024-01832-8

Weichen Zhou, Zhaocai Hao, Martin Bohner

引用次数: 0

Abstract

In this research, we investigate the existence and multiplicity of solutions for fractional differential equations on infinite intervals. By using monotone iteration, we identify two solutions, and the multiplicity of solutions is demonstrated by the Leggett–Williams fixed point theorem.

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无限区间上分数微分方程解的存在性和多重性

在这项研究中，我们研究了无限区间上分数微分方程解的存在性和多重性。通过使用单调迭代，我们确定了两个解，并通过 Leggett-Williams 定点定理证明了解的多重性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Boundary Value Problems MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

3.00

自引率

5.90%

发文量

审稿时长

4 months

期刊介绍： The main aim of Boundary Value Problems is to provide a forum to promote, encourage, and bring together various disciplines which use the theory, methods, and applications of boundary value problems. Boundary Value Problems will publish very high quality research articles on boundary value problems for ordinary, functional, difference, elliptic, parabolic, and hyperbolic differential equations. Articles on singular, free, and ill-posed boundary value problems, and other areas of abstract and concrete analysis are welcome. In addition to regular research articles, Boundary Value Problems will publish review articles.