Existence of solutions to a nonlinear fractional diffusion equation with exponential growth

One-parameter semigroups and linear evolution equations (47D06) Initial value problems for second-order parabolic equations (35K15) Fractional partial differential equations (35R11)

Cites Work

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Existence, non-existence, and uniqueness for a heat equation with exponential nonlinearity in \(\mathbb R^2\)
Asymptotic behavior and decay estimates of the solutions for a nonlinear parabolic equation with exponential nonlinearity
The Cauchy problem for heat equations with exponential nonlinearity
Scattering for the two-dimensional energy-critical wave equation
A fractional porous medium equation
Global well-posedness of the Cauchy problem for a super-critical nonlinear wave equation in two space dimensions
The Rayleigh--Stokes problem for a heated generalized second-grade fluid with fractional derivative model
On interpolation of the Fourier maximal operator in Orlicz spaces
Global solutions in the critical Sobolev space for the wave equations with nonlinearity of exponential growth
Integrodifferential equation which interpolates the heat equation and the wave equation
Local and global existence of mild solutions of time-fractional Navier-Stokes system posed on the Heisenberg group
On well-posedness of semilinear Rayleigh-Stokes problem with fractional derivative on \(\mathbb{R}^N\)
Local solution to an energy critical 2-D stochastic wave equation with exponential nonlinearity in a bounded domain
Some nonexistence results for space-time fractional Schrödinger equations without gauge invariance
The Cauchy problem for heat equation with fractional Laplacian and exponential nonlinearity
What is the fractional Laplacian? A comparative review with new results
Anomalous heat diffusion from fractional Fokker-Planck equation
Mild solutions to the time fractional Navier-Stokes equations in \(\mathbb{R}^N\)
Well-posedness of the Cauchy problem for the fractional power dissipative equations
Well- and Ill-posedness Issues for a Class of 2D Wave Equation with Exponential Growth
The nonlinear Rayleigh‐Stokes problem with Riemann‐Liouville fractional derivative
Fractional Calculus and Waves in Linear Viscoelasticity
Maximum principle for certain generalized time and space fractional diffusion equations
Existence and regularity results of a backward problem for fractional diffusion equations
Local and blowing‐up solutions for a space‐time fractional evolution system with nonlinearities of exponential growth
On local existence and blowup of solutions for a time‐space fractional diffusion equation with exponential nonlinearity
Basic Theory of Fractional Differential Equations
The random walk's guide to anomalous diffusion: A fractional dynamics approach

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