Existence, uniqueness and stability analysis for delay fractional evolution equations with maxima

doi:10.1515/anly-2025-0088

Existence, uniqueness and stability analysis for delay fractional evolution equations with maxima

2026-02-01

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DOI：10.1515/anly-2025-0088

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In this paper, we focus on investigating the existence of mild solutions and the stability analysis of fractional evolution equations involving finite time delay and maxima. Our approach relies on tools such as the measure of non-compactness, the concept of p {{p}} -set contractions, and the Banach contraction principle. Additionally, we employ a generalized form of Gronwall's inequality to examine various types of stability. To demonstrate the applicability of our theoretical findings, a concrete example is provided.

Keywords:

Generalized Liouville-Caputo fractional derivative

evolution equation

delay

mild solution

Kuratowski measure of non-compactness

M & ouml

nch fixed

continuous dependence

Banach fixed point

Hyers-Ulam stability

Existence, uniqueness and stability analysis for delay fractional evolution equations with maxima

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