Weak solution for nonlinear fractional P(.)-Laplacian Problem with variable order via Rothe's Time-discretization method

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2022-11-10 DOI:10.3846/mma.2022.15740

Abdelali Sabri

引用次数: 0

Abstract

In this paper, we prove the existence and uniqueness results of weak solutions to a class of nonlinear fractional parabolic p(.)-Laplacian problem with variable order. The main tool used here is the Rothe’s method combined with the theory of variable-order fractional Sobolev spaces with variable exponent.

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用Rothe时间离散方法弱解变阶非线性分数阶P(.)-拉普拉斯问题

本文证明了一类变阶非线性分数阶抛物型p(.)- laplace问题弱解的存在唯一性结果。这里使用的主要工具是Rothe方法与变指数变阶分数Sobolev空间理论相结合。

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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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

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