Global solution of space-fractional diffusion equations with nonlinear reaction source terms

DOI10.1080/00036811.2019.1582030zbMath1450.35281OpenAlexW2917336012MaRDI QIDQ5126694

Tran Quoc Viet, Nguyen Minh Dien, Dang Duc Trong

Publication date: 20 October 2020

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2019.1582030

zbMATH Keywords

well-posed problemill-posed problemdecay estimateregularization scheme

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Ill-posed problems for PDEs (35R25) Inverse problems for PDEs (35R30) Initial value problems for second-order parabolic equations (35K15) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Fractional partial differential equations (35R11)

Related Items (6)

A local RBFs-based DQ approximation for Riesz fractional derivatives and its applications ⋮ Existence and continuity results for a nonlinear fractional Langevin equation with a weakly singular source ⋮ The generalized nonlocal boundary condition for fractional Langevin equation with a weakly singular source ⋮ The backward problem for nonlinear fractional diffusion equation with time-dependent order ⋮ On mild solutions of the generalized nonlinear fractional pseudo-parabolic equation with a nonlocal condition ⋮ ON THE NONLINEAR GENERALIZED LANGEVIN EQUATION INVOLVING ψ-CAPUTO FRACTIONAL DERIVATIVES

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