Well-posedness results and blow-up for a semi-linear time fractional diffusion equation with variable coefficients

DOI10.3934/era.2021052zbMath1478.35218OpenAlexW3186495062MaRDI QIDQ2055184

Vo Van Au, Anh Tuan Nguyen, Jagdev Singh

Publication date: 3 December 2021

Published in: Electronic Research Archive (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/era.2021052

zbMATH Keywords

fractional diffusion equationgeneralized fractional calculushyper-Bessel operators

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Fractional derivatives and integrals (26A33) Mittag-Leffler functions and generalizations (33E12) Integral transforms of special functions (44A20) Initial value problems for second-order parabolic equations (35K15) Blow-up in context of PDEs (35B44) Fractional partial differential equations (35R11)

Related Items (6)

A mixed nonlinear time-fractional Rayleigh-Stokes equation ⋮ Analysis of large time asymptotics of the fourth‐order parabolic system involving variable coefficients and mixed nonlinearities ⋮ GLOBAL WELL-POSEDNESS OF A CAUCHY PROBLEM FOR A NONLINEAR PARABOLIC EQUATION WITH MEMORY ⋮ Recovering the initial distribution for a logarithmic nonlinear biparabolic equation ⋮ Existence and limit problem for fractional fourth order subdiffusion equation and Cahn-Hilliard equation ⋮ On the well-posedness and blow-up for a semilinear biparabolic equation

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