What question did this study set out to answer?

旨在探讨带记忆的扩散逻辑方程的性质与解。

April 15, 2026Open Access

扩散逻辑方程在 H₀^, p 中的结果

Key Points

旨在探讨带记忆的扩散逻辑方程的性质与解。
引入了影响记忆项的参数化扩散逻辑方程。
利用引理估计基于记忆效应的 Mittag-Leffler 函数积分。
应用 Banach 不动点定理和 Gronwall 不等式进行分析。
研究弱解的存在性、唯一性、正则性和连续依赖性。
确立了解的存在性和唯一性的条件。
证明了解对初始数据的正则性和连续依赖性。

Abstract

摘要本文首先介绍了贝塞尔势空间中带记忆的扩散逻辑方程问题，讨论了参数和，特别是它们对模型记忆项的影响。接着，通过一个引理给出评估 Mittag-Leffler 函数积分与记忆效应关系的估计。基于此，利用 Banach 不动点定理、Gronwall 不等式及估计 Mittag-Leffler 函数的引理，研究了扩散逻辑方程弱解的存在性、唯一性、正则性及连续依赖性。

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Authors

J. Vanterler da C. Sousa

Mouffak Benchohra

Gastão S. F. Frederico

Journals

São Paulo Journal of Mathematical Sciences

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Cite this study

Sousa 等人（Mon,）研究了该问题。

www.synapsesocial.com/papers/69df2ba0e4eeef8a2a6b08fc — DOI: https://doi.org/10.1007/s40863-026-00537-3

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扩散逻辑方程在 H₀^, p 中的结果

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Abstract

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