基于分数积分边界条件的隐式二阶微分方程解的存在性和Hyers-Ulam稳定性

IF 2 Q1 MATHEMATICS Journal of Mathematics and Computer Science-JMCS Pub Date : 2023-04-04 DOI:10.22436/jmcs.031.01.02

S. Al-Issa, I. Kaddoura, N. J. Rifai

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引用次数: 0

摘要

本文通过分数阶积分边界条件研究了隐式二阶分数阶微分方程解的存在性和Ulam–Hyers稳定性。我们的结果基于Krasnoselskii的不动点定理和Banach收缩原理。我们在最后提供了一些例子来澄清我们获得的结果。。

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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Existence and Hyers-Ulam stability of solutions to the implicit second-order differential equation via fractional integral boundary conditions

In this paper, the existence and Ulam–Hyers stability of solutions for implicit second order fractional differential equations are investigated via fractional-orders integral boundary conditions. Our results are based on Krasnoselskii’s ﬁxed point Theorem and Banach contraction principle. We provide examples at the end to clarify our acquired outcomes..

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来源期刊

Journal of Mathematics and Computer Science-JMCS MATHEMATICS-

CiteScore

3.10

自引率

4.00%

发文量