On a nonlinear time-fractional cable equation.

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. [ABSTRACT FROM AUTHOR]