涉及广义Katugampola导数的非局部初值问题的存在性与稳定性

IF 1 Q1 MATHEMATICS

Kragujevac Journal of Mathematics Pub Date : 2022-06-01 DOI:10.46793/kgjmat2203.443b

A. Bagwan, D. Pachpatte

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引用次数: 0

摘要

本文给出了广义Katugampola导数的非局部初值问题解的存在性结果。一些不动点定理技术被用来推导存在性结果。在续篇中，我们研究了与我们的问题相对应的广义Ulam-Hiers-Rassias稳定性。举例说明了我们的主要结果。

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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Existence and Stability of Nonlocal Initial Value Problems Involving Generalized Katugampola Derivative

In this paper, the existence results for the solutions to nonlocal initial value problems involving generalized Katugampola derivative are established. Some ﬁxed point theorem techniques are used to derive the existence results. In the sequel, we investigate the generalized Ulam-Hyers-Rassias stability corresponding to our problem. Some examples are given to illustrate our main results.

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来源期刊

Kragujevac Journal of Mathematics MATHEMATICS-

CiteScore

2.50

自引率

0.00%

发文量