A priori estimates for weak solution for a time-fractional nonlinear reaction-diffusion equations with an integral condition

DOI10.1016/j.chaos.2017.05.035zbMath1375.35612OpenAlexW2620710232MaRDI QIDQ1681654

Bouziani Abdelfatah, Taki-Eddine Oussaeif

Publication date: 24 November 2017

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2017.05.035

zbMATH Keywords

weak solutionexistenceuniquenessenergy inequalityintegral conditionnonlinear fractional reaction-diffusion equationsBouziani spaces

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Fractional partial differential equations (35R11) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (10)

A priori estimate and numerical study of solution for a parabolic equation with nonlinear integral condition ⋮ Solvability of solution of singular and degenerate fractional nonlinear parabolic Dirichlet problems ⋮ A nonlinear fractional problem with a second kind integral condition for time-fractional partial differential equation ⋮ Solvability and Blow-up of Solutions of Semi Linear Parabolic Problem with Integral Condition of Second Type ⋮ Solvability of nonlinear fractional integro-differential equation with nonlocal condition ⋮ Theoretical study of explosion phenomena for a semi-parabolic problem ⋮ Galerkin finite element method for a semi-linear parabolic equation with integral conditions ⋮ Legendre wavelets for the numerical solution of nonlinear variable-order time fractional 2D reaction-diffusion equation involving Mittag-Leffler non-singular kernel ⋮ Unique solvability for an inverse problem of a nonlinear parabolic PDE with nonlocal integral overdetermination condition ⋮ Solvability and blow-up of the weak solution for a semi-linear Bessel problem with Neumann integral condition

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