一类新的非线性分数阶微分方程边值问题解的存在性与稳定性分析

IF 2.6 3区数学 Q1 MATHEMATICS, APPLIED

Nonlinear Analysis-Modelling and Control Pub Date : 2022-10-19 DOI:10.15388/namc.2022.27.29420

Weiwei Liu, Lishan Liu

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引用次数: 1

摘要

本文研究了一类附加一般边界条件的非线性分数阶微分方程边值问题。利用Leray-Schauder非线性替代定理和Boyd-Wong收缩原理分别证明了正解的存在唯一性。进一步证明了解的Hyers-Ulam (HU)稳定性和Hyers-Ulam - rassias (HUR)稳定性。最后通过一个算例对存在性结果的有效性进行了讨论。

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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Existence and stability analysis of solutions for a new kind of boundary value problems of nonlinear fractional differential equations

This research work is dedicated to an investigation for a new kind of boundary value problem of nonlinear fractional differential equation supplemented with general boundary condition. A full analysis of existence and uniqueness of positive solutions is respectively proved by Leray–Schauder nonlinear alternative theorem and Boyd–Wong’s contraction principles. Furthermore, we prove the Hyers–Ulam (HU) stability and Hyers–Ulam–Rassias (HUR) stability of solutions. An example illustrating the validity of the existence result is also discussed.

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来源期刊

Nonlinear Analysis-Modelling and Control MATHEMATICS, APPLIED-MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

CiteScore

3.80

自引率

10.00%

发文量

审稿时长

9.6 months

期刊介绍： The scope of the journal is to provide a multidisciplinary forum for scientists, researchers and engineers involved in research and design of nonlinear processes and phenomena, including the nonlinear modelling of phenomena of the nature. The journal accepts contributions on nonlinear phenomena and processes in any field of science and technology. The aims of the journal are: to provide a presentation of theoretical results and applications; to cover research results of multidisciplinary interest; to provide fast publishing of quality papers by extensive work of editors and referees; to provide an early access to the information by presenting the complete papers on Internet.