On a semi-linear system of nonlocal time and space reaction diffusion equations with exponential nonlinearities
From MaRDI portal
Publication:1751555
DOI10.1216/JIE-2018-30-1-17zbMath1393.35093OpenAlexW2801591704WikidataQ115517597 ScholiaQ115517597MaRDI QIDQ1751555
Bashir Ahmad, Ahmed Alsaedi, Mukhtar Bin Muhammad Kirane, Dorsaf Hnaien
Publication date: 25 May 2018
Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/euclid.jiea/1523347336
blow-upexponential nonlinearitiesblow-up profilenonlocal in time and space reaction diffusion equationssemi-linear system
Reaction-diffusion equations (35K57) Asymptotics of solutions to integral equations (45M05) Blow-up in context of PDEs (35B44) Integro-partial differential equations (35R09)
Related Items
Globally unsolvability of integro-differential diffusion equation and system with exponential nonlinearities, A class of fractional parabolic reaction-diffusion systems with control of total mass: theory and numerics, Sub-diffusion equations with Mittag-Leffler nonlinearity, Global weak solutions to a spatio-temporal fractional Landau-Lifshitz-Bloch equation, Unnamed Item
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A system of nonlinear Volterra equations with blow-up solutions
- Concerning an equation in the theory of combustion
- Fractional calculus models of complex dynamics in biological tissues
- Front propagation and segregation in a reaction-diffusion model with cross-diffusion
- A maximum principle applied to quasi-geostrophic equations
- Mathematical problems from combustion theory
- Averaging oscillations with small fractional damping and delayed terms
- The maximum principle and the global attractor for the dissipative 2D quasi-geostrophic equations
- On a reaction diffusion equation with nonlinear time-nonlocal source term
- Qualitative properties of solutions to a time-space fractional evolution equation
- The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics