On a time-space fractional diffusion equation with a semilinear source of exponential type

DOI10.3934/era.2022071zbMath1486.35441OpenAlexW4225604235MaRDI QIDQ2127567

Anh Tuan Nguyen, Chao Yang

Publication date: 20 April 2022

Published in: Electronic Research Archive (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/era.2022071

zbMATH Keywords

global well-posednessCaputo derivativeexponential nonlinearitytime-space fractional diffusion

Mathematics Subject Classification ID

Initial value problems for second-order parabolic equations (35K15) Fractional partial differential equations (35R11)

Cites Work

• Unnamed Item
• Asymptotic behavior and decay estimates of the solutions for a nonlinear parabolic equation with exponential nonlinearity
• Global existence and finite time blow-up for a class of semilinear pseudo-parabolic equations
• The Cauchy problem for heat equations with exponential nonlinearity
• Abstract fractional Cauchy problems with almost sectorial operators
• On a backward problem for two-dimensional time fractional wave equation with discrete random data
• Global existence, nonexistence and asymptotic behavior of solutions for the Cauchy problem of semilinear heat equations
• Nonlinear Schrödinger equations in the Sobolev space of critical order
• Global solutions in the critical Sobolev space for the wave equations with nonlinearity of exponential growth
• On the concepts of state and free energy in linear viscoelasticity
• Cauchy problems for Keller-Segel type time-space fractional diffusion equation
• Cauchy problem for fractional diffusion equations
• Infinite sharp conditions by Nehari manifolds for nonlinear Schrödinger equations
• Global existence and blowup solutions for the Gierer-Meinhardt system
• Local and global existence of mild solutions of time-fractional Navier-Stokes system posed on the Heisenberg group
• On initial value and terminal value problems for subdiffusive stochastic Rayleigh-Stokes equation
• Regularized solution approximation of a fractional pseudo-parabolic problem with a nonlinear source term and random data
• Global existence and finite time blowup for a nonlocal semilinear pseudo-parabolic equation
• Mild solutions to the time fractional Navier-Stokes equations in \(\mathbb{R}^N\)
• Wave equations and reaction-diffusion equations with several nonlinear source terms of different sign
• Semilinear Caputo time-fractional pseudo-parabolic equations
• Scattering for the two-dimensional NLS with exponential nonlinearity
• Inverse source problem for a fractional diffusion equation
• Global solutions for a semilinear, two-dimensional Klein-Gordon equation with exponential-type nonlinearity
• An Inverse Problem for a Nonlinear Diffusion Equation
• Stable Patterns in a Viscous Diffusion Equation
• Packing measure of the sample paths of fractional Brownian motion
• On existence and regularity of a terminal value problem for the time fractional diffusion equation
• On the initial value problem for a class of nonlinear biharmonic equation with time-fractional derivative
• On a backward problem for fractional diffusion equation with Riemann‐Liouville derivative
• On initial and terminal value problems for fractional nonclassical diffusion equations
• Space-Time Fractional Nonlinear Schrödinger Equation
• Optimal Decay Estimates for Time-Fractional and Other NonLocal Subdiffusion Equations via Energy Methods
• On fractional heat equations with non-local initial conditions
• Existence and regularity results for terminal value problem for nonlinear fractional wave equations

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