@article{Jleli2024, 
author = {Mohamed Jleli and Bessem Samet},
title = {On a nonlinear time-fractional cable equation},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {9},
pages = {23584-23597},
keywords = {time-fractional cable equation, weak solution, nonexistence, Caputo fractional derivative},
url = {https://www.sciopen.com/article/10.3934/math.20241146},
doi = {10.3934/math.20241146},
abstract = {A nonlinear time-fractional cable equation posed on the interval  (0,1) under a homogeneous Dirichlet boundary condition is investigated in this work. The considered equation reflects the anomalous electro-diffusion in nerve cells. Using nonlinear capacity estimates specifically adapted to the considered problem, we establish sufficient conditions for the nonexistence of weak solutions.}
}