On the critical exponents for a fractional diffusion-wave equation with a nonlinear memory term in a bounded domain

Reaction-diffusion equations (35K57) Initial-boundary value problems for second-order parabolic equations (35K20) Critical exponents in context of PDEs (35B33) Blow-up in context of PDEs (35B44) Fractional partial differential equations (35R11)

Cites Work

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A parabolic problem with a fractional time derivative
Abstract Cauchy problem for fractional differential equations
The blow-up and global existence of solutions of Cauchy problems for a time fractional diffusion equation
On a recent result of Cazenave, Dickstein and Weissler
Critical exponent for damped wave equations with nonlinear memory
Abstract fractional Cauchy problems with almost sectorial operators
An \(L_{q}(L_{p})\)-theory for the time-fractional evolution equations with variable coefficients
Blow-up solutions of second-order differential inequalities with a nonlinear memory term
Blow-up results for space-time fractional stochastic partial differential equations
Blow-up of solutions of nonlinear wave equations in three space dimensions
Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
Elliptic partial differential equations of second order
The critical exponents for a time fractional diffusion equation with nonlinear memory in a bounded domain
Cauchy problems for Keller-Segel type time-space fractional diffusion equation
A De Giorgi-Nash type theorem for time fractional diffusion equations
Interplay effects on blow-up of weakly coupled systems for semilinear wave equations with general nonlinear memory terms
Regularity theory for a nonlinear fractional reaction-diffusion equation
Blow-up and global existence of solutions for a time fractional diffusion equation
Blow up for initial-boundary value problem of wave equation with a nonlinear memory in 1-D
Finite time blow up for critical wave equations in high dimensions
On the real zeros of functions of Mittag-Leffler type
Stability, instability, and blowup for time fractional and other nonlocal in time semilinear subdiffusion equations
Well-posedness results for a class of semi-linear super-diffusive equations
Global well-posedness and blow-up solutions of the Cauchy problem for a time-fractional superdiffusion equation
An equation whose Fujita critical exponent is not given by scaling
Critical exponents of Fujita type for certain evolution equations and systems with spatio-temporal fractional derivatives
The influence of a nonlinear memory on the damped wave equation
Semilinear Caputo time-fractional pseudo-parabolic equations
Fractional diffusion and wave equations
The critical exponent for a time fractional diffusion equation with nonlinear memory
Well-posedness of Hamilton–Jacobi equations with Caputo’s time fractional derivative
On the growth of solutions of quasi‐linear parabolic equations
The random walk's guide to anomalous diffusion: A fractional dynamics approach

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