几个新的弱奇异非线性积分不等式及其应用

IF 0.9 4区数学 Q2 MATHEMATICS

Journal of Integral Equations and Applications Pub Date : 2021-12-01 DOI:10.1216/jie.2021.33.477

Yaoyao Luo, R. Xu

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引用次数: 0

摘要

本文的目的是建立一些新的弱奇异非线性积分不等式，推广了一些已知的积分不等式。本文给出的不等式可用于分析分数阶微分方程和积分方程的定性性质。还提供了应用程序来说明我们的结果的有用性。

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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Some new weakly singular nonlinear integral inequalities and their application

Our purpose of this article is to establish some new weakly singular nonlinear integral inequalities, which generalizes some known integral inequalities. The inequalities given here can be used in the analysis of the qualitative properties of fractional differential equations and integral equations. Applications are also provided to illustrate the usefulness of our results.

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来源期刊

Journal of Integral Equations and Applications MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Journal of Integral Equations and Applications is an international journal devoted to research in the general area of integral equations and their applications. The Journal of Integral Equations and Applications, founded in 1988, endeavors to publish significant research papers and substantial expository/survey papers in theory, numerical analysis, and applications of various areas of integral equations, and to influence and shape developments in this field. The Editors aim at maintaining a balanced coverage between theory and applications, between existence theory and constructive approximation, and between topological/operator-theoretic methods and classical methods in all types of integral equations. The journal is expected to be an excellent source of current information in this area for mathematicians, numerical analysts, engineers, physicists, biologists and other users of integral equations in the applied mathematical sciences.