Nonexistence results for a time-fractional biharmonic diffusion equation

Initial-boundary value problems for higher-order parabolic equations (35K35) Fractional derivatives and integrals (26A33) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Fractional partial differential equations (35R11)

Cites Work

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A new difference scheme for the time fractional diffusion equation
A multi-domain spectral method for time-fractional differential equations
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The blow-up and global existence of solutions of Cauchy problems for a time fractional diffusion equation
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Time fractional quantum mechanics
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Exponential growth for a fractionally damped wave equation
Blow-up phenomena for a nonlinear time fractional heat equation in an exterior domain
Modelling nematode movement using time-fractional dynamics
Nonexistence results for a fractional problem arising in thermal diffusion in fractal media
Nonexistence of global solutions to a hyperbolic equation with a space-time fractional damping
A regularization method for time-fractional linear inverse diffusion problems
Qualitative properties of solutions to a time-space fractional evolution equation
Time fractional Schrödinger equation
Multi-term time-fractional diffusion equation and system: mild solutions and critical exponents
The asymptotic behavior of the time fractional Schrödinger equation on Hilbert space
On an inverse problem of reconstructing a subdiffusion process from nonlocal data
On the absence of global weak solutions for a nonlinear time-fractional Schr\"odinger equation

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