二阶分数阶非线性caputo-hadamard分数阶微分方程解的存在性和ulam稳定性

IF 0.5 Q3 MATHEMATICS

Facta Universitatis-Series Mathematics and Informatics Pub Date : 2022-04-12 DOI:10.22190/fumi210216009s

Abdelkader Saadi, M. Houas

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引用次数: 1

摘要

本文研究了二阶分数阶积分-微分方程解的存在唯一性和Ulam-Hyers稳定性。利用Banach不动点定理，得到了该问题解存在唯一性的几个充分条件。进一步，我们导出了解的Ulam-Hyers稳定性和广义Ulam-Hyers稳定性。最后，给出了一个实例。

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 ULAM STABILITY OF SOLUTIONS FOR NONLINEAR CAPUTO-HADAMARD FRACTIONAL DIFFERENTIAL EQUATIONS INVOLVING TWO FRACTIONAL ORDERS

In this paper, we study existence, uniqueness and Ulam-Hyers stability of solutions for integro-differential equations involving two fractional orders. By using Banach's fixed point theorem, we obtain some sufficient conditions for the existence and uniqueness of solution for the mentioned problem. Furthermore, we derive the Ulam-Hyers stability and the generalized Ulam-Hyers stability of solution. At the end, an illustrative example is discussed.

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Facta Universitatis-Series Mathematics and Informatics MATHEMATICS-

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