On a reaction diffusion equation with nonlinear time-nonlocal source term

DOI10.1002/mma.3473zbMath1334.35092OpenAlexW1822387400MaRDI QIDQ2786692

Bashir Ahmad, Ahmed Alsaedi, Mukhtar Bin Muhammad Kirane

Publication date: 23 February 2016

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.3473

zbMATH Keywords

blow-upblow-up profilenonlocal evolution equation

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Reaction-diffusion equations (35K57) 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, Sub-diffusion equations with Mittag-Leffler nonlinearity, On a semi-linear system of nonlocal time and space reaction diffusion equations with exponential nonlinearities, Nonlocal approach to nonequilibrium thermodynamics and nonlocal heat diffusion processes

Cites Work

• 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
• On some semilinear evolution equations with time-lag
• Global nonexistence for the Cauchy problem of some nonlinear reaction-diffusion systems
• A maximum principle applied to quasi-geostrophic equations
• Cauchy problem for fractional diffusion equations
• The maximum principle and the global attractor for the dissipative 2D quasi-geostrophic equations
• 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
• Functional Analysis
• Fractional Calculus
• Probabilistic Treatment of the Blowing up of Solutions for a Nonlinear Integral Equation
• Criticality for some evolution equations