关于具有线性源项的分数阶保形扩散方程收敛性的注记

Q1 Mathematics Results in Nonlinear Analysis Pub Date : 2022-09-30 DOI:10.53006/rna.1144709

Tien Nguyen

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摘要

本文研究了具有保形导数的扩散方程。主要目标是证明当分数拉普拉斯算子的阶数趋向于$1^-$时，我们问题的温和解的收敛性。本文的主要技术是基于对指数核的一些有用的评估。

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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Note on the convergence of fractional conformable diffusion equation with linear source term

In this paper, we study the diffusion equation with conformable derivative. The main goal is to prove the convergence of the mild solution to our problem when the order of fractional Laplacian tends to $1^-$. The principal techniques of our paper is based on some useful evaluations for exponential kernels.

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