无穷区间上 /i>-拉普拉斯算子的分数边值问题的可解性

IF 1 4区数学 Q3 MATHEMATICS, APPLIED

Journal of Applied Analysis and Computation Pub Date : 2023-01-01 DOI:10.11948/20220329

Xingfang Feng, Yucheng Li

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引用次数: 0

摘要

本文将S. Iyase和O. Imaga在[11]中研究的三阶$ p $-拉普拉斯边值问题推广到分数阶微分方程。首先构造了一个温和的Banach空间，并建立了一个适当的紧性准则。然后应用Schauder不动点定理，得到了具有p $-拉普拉斯算子的分数阶微分方程在无限区间上存在至少一个解的充分条件。作为应用，给出了一个例子来说明我们的主要结果。

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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SOLVABILITY OF A FRACTIONAL BOUNDARY VALUE PROBLEM WITH P-LAPLACIAN OPERATOR ON AN INFINITE INTERVAL

In this paper, we extend the third order $ p $-Laplacian boundary value problem researched by S. Iyase and O. Imaga in [11] to the fractional differential equation. Firstly, we construct a mild Banach space and establish an appropriate compactness criterion. Then applying the Schauder's fixed point theorem, we obtain a sufficient condition for existence of at least one solution to the fractional differential equation with $ p $-Laplacian operator on an infinite interval. As an application, an example is given to illustrate our main result.

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来源期刊

Journal of Applied Analysis and Computation MATHEMATICS, APPLIED-

CiteScore

2.30

自引率

9.10%

发文量

期刊介绍： The Journal of Applied Analysis and Computation (JAAC) is aimed to publish original research papers and survey articles on the theory, scientific computation and application of nonlinear analysis, differential equations and dynamical systems including interdisciplinary research topics on dynamics of mathematical models arising from major areas of science and engineering. The journal is published quarterly in February, April, June, August, October and December by Shanghai Normal University and Wilmington Scientific Publisher, and issued by Shanghai Normal University.

无穷区间上<i> /i>-拉普拉斯算子的分数边值问题的可解性

摘要