Nonexistence for time-fractional wave inequalities on Riemannian manifolds

Jleli, Mohamed; Samet, Bessem

doi:10.3934/dcdss.2022115

DCDS-S

2023

DOI: 10.3934/dcdss.2022115

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Nonexistence for time-fractional wave inequalities on Riemannian manifolds

Mohamed Jleli

Bessem Samet

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2024

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Cited by 1 publication

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On a nonlinear time-fractional cable equation

Jleli,

Samet

2024

MATH

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<p>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.</p>

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On a nonlinear time-fractional cable equation

Jleli,

Samet

2024

MATH

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show abstract

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Nonexistence for time-fractional wave inequalities on Riemannian manifolds

Cited by 1 publication

References 22 publications

On a nonlinear time-fractional cable equation

On a nonlinear time-fractional cable equation

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