A local theory for a fractional reaction-diffusion equation

DOI10.1142/S0219199718500335zbMath1421.35397OpenAlexW2799430428MaRDI QIDQ5234420

Arlúcio Viana

Publication date: 26 September 2019

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219199718500335

zbMATH Keywords

nonexistence of global solutionslocal well-posednessconcentrated sourcepartial fractional differential equations

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Fractional partial differential equations (35R11)

Related Items (11)

Global solutions for a strongly coupled fractional reaction-diffusion system in Marcinkiewicz spaces ⋮ On the blow-up of solutions for a fractional diffusion equation with nonlinear memory and reaction terms in a bounded domain ⋮ Functional convergence of continuous-time random walks with continuous paths ⋮ Some well‐posed results on the time‐fractional Rayleigh–Stokes problem with polynomial and gradient nonlinearities ⋮ Global existence and convergence results for a class of nonlinear time fractional diffusion equation ⋮ Stability and regularity in inverse source problem for generalized subdiffusion equation perturbed by locally Lipschitz sources ⋮ The dependence on fractional orders of mild solutions to the fractional diffusion equation with memory ⋮ A nonlinear fractional diffusion equation: well-posedness, comparison results, and blow-up ⋮ Local existence and non-existence for a fractional reaction-diffusion equation in Lebesgue spaces ⋮ Existence, symmetries, and asymptotic properties of global solutions for a fractional diffusion equation with gradient nonlinearity ⋮ Initial value problem for fractional Volterra integro-differential equations with Caputo derivative

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