On a nonlinear time-fractional cable equation

被引：0
|
作者：
Jleli, Mohamed [1 ]
Samet, Bessem [1 ]
机构：
[1] King Saud Univ, Coll Sci, Dept Math, Riyadh 11451, Saudi Arabia
来源：
AIMS MATHEMATICS | 2024年 / 9卷 / 09期
关键词：
time-fractional cable equation; weak solution; nonexistence; Caputo fractional derivative; BLOWING-UP SOLUTIONS; GLOBAL-SOLUTIONS; NONEXISTENCE; DIFFUSION; SYSTEM;
D O I：
10.3934/math.20241146
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A nonlinear time-fractional cable equation posed on the interval (0,1) , 1) under a homogeneous Dirichlet boundary condition is investigated in this work. The considered equation reflects the anomalous electro-diffusion ff usion in nerve cells. Using nonlinear capacity estimates specifically adapted to the considered problem, we establish sufficient ffi cient conditions for the nonexistence of weak solutions.
引用
收藏
页码：23584 / 23597
页数：14
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