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Research Article | Open Access

Finite-time stability of mild solutions for Caputo-Katugampola fractional differential equations

Ni Zeng1, Xiao-Hong Wu1, Chuan-Yun Gu1,2( )
School of Science, Xihua University, Chengdu 610039, China
School of Mathematics, Sichuan University of Arts and Science, Dazhou 635000, China
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Abstract

This paper focuses on studying the existence and robust finite-time stability (FTS) for a more generalized class of nonlinear Caputo-Katugampola fractional differential equations with perturbation. The existence of mild solutions is proved by using the Sadovskii fixed-point theorem (SFPT). Then, sufficient conditions for robust FTS are obtained by applying the Jensen inequality and Hölder inequality. Finally, our theoretical results are supported by the research on the Lasota-Wazewska red blood cell (LWRBC) model.

Keywords

Caputo-Katugampola fractional differential equationfinite-time stabilitySadovskii fixed-point theoremJensen inequalityGrönwall inequality

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Electronic Research Archive
Volume 34 Issue 6,
May 2026
Pages 3790-3803
DOI: 10.3934/era.2026171

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Cite this article:
Zeng N, Wu X-H, Gu C-Y. Finite-time stability of mild solutions for Caputo-Katugampola fractional differential equations. Electronic Research Archive, 2026, 34(6): 3790-3803. https://doi.org/10.3934/era.2026171

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Received: 04 January 2026
Revised: 10 April 2026
Accepted: 23 April 2026
Published: 07 May 2026
©2026 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)