适形中立分数阶微分方程的Ulam稳定性

IF 0.4 Q4 MATHEMATICS

Boletim Sociedade Paranaense de Matematica Pub Date : 2022-12-23 DOI:10.5269/bspm.51442

Manzoor Ahmad, A. Zada

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引用次数: 1

摘要

本文研究了一类具有无穷时滞的非线性中立型保形分数微分系统解的存在性和唯一性，该系统包含保形分数导数。此外，我们还利用Picard算子研究了所考虑系统解的Ulam—Hyres稳定性、Ulam—Hyres—Mittag—Leffler稳定性、Ulam—Hyres—Mittag-Lefler—Rassias稳定性。为了应用该理论，我们在最后添加了一个例子。

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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Ulam's stability of conformable neutral fractional differential equations

This article is concerned with the existence and uniqueness of solutions of a nonlinear neutral conformable fractional differential system with infinite delay, involving conformable fractional derivative. Additionally, we study the Ulam--Hyres stability, Ulam--Hyres--Mittag--Leffler stability, Ulam--Hyres--Mittag--Leffler--Rassias stability for the solutions of considered system using Picard operator. For application of the theory, we add an example at the end.

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