Global existence and blow-up of solutions of the Cauchy problem for a time fractional diffusion system
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Publication:2203198
DOI10.1016/j.camwa.2019.03.013zbMath1442.35534OpenAlexW2928518037WikidataQ128091203 ScholiaQ128091203MaRDI QIDQ2203198
Hong-Rui Sun, Ya-Ning Li, Quan-Guo Zhang
Publication date: 5 October 2020
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2019.03.013
Critical exponents in context of PDEs (35B33) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Blow-up in context of PDEs (35B44) Fractional partial differential equations (35R11)
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Cites Work
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- A parabolic problem with a fractional time derivative
- Fractional abstract Cauchy problem with order \(\alpha \in (1,2)\)
- Abstract Cauchy problem for fractional differential equations
- Fractional-parabolic systems
- The blow-up and global existence of solutions of Cauchy problems for a time fractional diffusion equation
- Abstract fractional Cauchy problems with almost sectorial operators
- An \(L_{q}(L_{p})\)-theory for the time-fractional evolution equations with variable coefficients
- Existence of mild solutions for fractional neutral evolution equations
- Mathematical modeling of different types of instabilities in time fractional reaction-diffusion systems
- Boundedness and blow up for a semilinear reaction-diffusion system
- On a backward problem for nonlinear fractional diffusion equations
- Cauchy problems for Keller-Segel type time-space fractional diffusion equation
- The local and global existence of solutions for a time fractional complex Ginzburg-Landau equation
- Mild solutions to the time fractional Navier-Stokes equations in \(\mathbb{R}^N\)
- Stability, instability, and blowup for time fractional and other nonlocal in time semilinear subdiffusion equations
- Existence and uniqueness for parabolic problems with Caputo time derivative
- 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
- A class of time‐fractional reaction‐diffusion equation with nonlocal boundary condition
- Analytic semigroups and optimal regularity in parabolic problems
- The random walk's guide to anomalous diffusion: A fractional dynamics approach
