DOI10.1016/j.jmaa.2008.06.054zbMath1154.45008OpenAlexW2009872262MaRDI QIDQ947547
Rico Zacher
Publication date: 6 October 2008
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.06.054
Fundamental solutions and decay of fully non-local problems ⋮
Maximum principles for a time-space fractional diffusion equation ⋮
Time-space fractional diffusion problems: existence, decay estimates and blow-up of solutions ⋮
Decay estimates for time-fractional and other non-local in time subdiffusion equations in \(\mathbb R^d\) ⋮
Stability, instability, and blowup for time fractional and other nonlocal in time semilinear subdiffusion equations ⋮
Bounded weak solutions of time-fractional porous medium type and more general nonlinear and degenerate evolutionary integro-differential equations ⋮
A non-linear stable non-Gaussian process in fractional time ⋮
Nonlinear evolution equations with exponentially decaying memory: existence via time discretisation, uniqueness, and stability ⋮
Well-posedness of the fractional Zener wave equation for heterogeneous viscoelastic materials ⋮
Initial-boundary-value problems for the generalized multi-term time-fractional diffusion equation ⋮
Global existence and asymptotic behavior of weak solutions for time-space fractional Kirchhoff-type diffusion equations ⋮
Semilinear subdiffusion with memory in the one-dimensional case ⋮
On the blow-up of solutions for a fractional diffusion equation with nonlinear memory and reaction terms in a bounded domain ⋮
An Exponential Spectral Method Using VP Means for Semilinear Subdiffusion Equations with Rough Data ⋮
Global strong solvability of a quasilinear subdiffusion problem ⋮
Comparison principles for the time-fractional diffusion equations with the Robin boundary conditions. I: Linear equations ⋮
Differential equations with fractional derivatives and changing direction of evolution ⋮
Existence and uniqueness of solution for some time fractional parabolic equations involving the 1-Laplace operator ⋮
Global existence, local existence and blow-up of mild solutions for abstract time-space fractional diffusion equations ⋮
An inverse problem of recovering the variable order of the derivative in a fractional diffusion equation ⋮
The 1st level general fractional derivatives and some of their properties ⋮
A De Giorgi-Nash type theorem for time fractional diffusion equations ⋮
Fractional derivatives and the fundamental theorem of fractional calculus ⋮
Well-posedness for a nonlocal nonlinear diffusion equation and applications to inverse problems ⋮
Modeling anomalous heat transport in geothermal reservoirs via fractional diffusion equations ⋮
Long-time behavior of non-local in time Fokker–Planck equations via the entropy method ⋮
On the maximum principle for the multi-term fractional transport equation ⋮
Entropy solutions to doubly nonlinear integro-differential equations ⋮
Uniqueness for an inverse problem for a semilinear time-fractional diffusion equation ⋮
Harnack's inequality for a space-time fractional diffusion equation and applications to an inverse source problem ⋮
An inverse source problem in a semilinear time-fractional diffusion equation ⋮
Representation of solutions and large-time behavior for fully nonlocal diffusion equations ⋮
A source identification problem in a time-fractional wave equation with a dynamical boundary condition ⋮
A priori bounds for degenerate and singular evolutionary partial integro-differential equations ⋮
Fractional flows driven by subdifferentials in Hilbert spaces ⋮
On an optimal control problem of time-fractional advection-diffusion equation ⋮
Regularity and stability analysis for a class of semilinear nonlocal differential equations in Hilbert spaces ⋮
A numerical solution of nonlinear parabolic-type Volterra partial integro-differential equations using radial basis functions ⋮
Operational calculus for the general fractional derivative and its applications ⋮
On time fractional derivatives in fractional Sobolev spaces and applications to fractional ordinary differential equations ⋮
Exponential Convolution Quadrature for Nonlinear Subdiffusion Equations with Nonsmooth Initial Data ⋮
Time-fractional Cahn-Hilliard equation: well-posedness, degeneracy, and numerical solutions ⋮
Anomalous Diffusion: Models, Their Analysis, and Interpretation ⋮
Variational time-fractional mean field games ⋮
Energy dissipation for hereditary and energy conservation for non-local fractional wave equations ⋮
A semi-discrete scheme for solving nonlinear hyperbolic-type partial integro-differential equations using radial basis functions ⋮
Exact and numerical stability analysis of reaction-diffusion equations with distributed delays
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