时间尺度上具有分数阶可积脉冲的非线性Volterra积分时滞动态系统的Hyers-Ulam稳定性

IF 0.4 Q4 MATHEMATICS

Iranian Journal of Mathematical Sciences and Informatics Pub Date : 2022-04-01 DOI:10.52547/ijmsi.17.1.85

S. O. Shah, A. Zada

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引用次数: 3

摘要

.本文给出了具有分数可积脉冲的时间尺度上非线性Volterra积分-时滞动态系统的Hyers–Ulam稳定性和Hyers–乌拉姆–Rassias稳定性结果。Picard不动点定理用于获得解的存在性和唯一性。利用抽象的Gr¨onwall引理，Gr¨on wall在时间尺度上的不等式，我们建立了Hyers–Ulam稳定性和Hyers–乌拉姆–Rassias稳定性的结果。有一些主要的引理、不等式和相关的假设有助于我们的稳定性结果。

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Hyers-Ulam Stability of Non-Linear Volterra Integro-Delay Dynamic System with Fractional Integrable Impulses on Time Scales

. This manuscript presents Hyers–Ulam stability and Hyers– Ulam–Rassias stability results of non–linear Volterra integro–delay dynamic system on time scales with fractional integrable impulses. Picard ﬁxed point theorem is used for obtaining existence and uniqueness of so-lutions. By means of abstract Gr¨onwall lemma, Gr¨onwall’s inequality on time scales, we establish Hyers–Ulam stability and Hyers–Ulam–Rassias stability results. There are some primary lemmas, inequalities and rele-vant assumptions that helps in our stability results.

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来源期刊

Iranian Journal of Mathematical Sciences and Informatics MATHEMATICS-

CiteScore

0.90

自引率

0.00%

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