The Rothe method for multi-term time fractional integral diffusion equations

DOI10.3934/dcdsb.2018204OpenAlexW2809374581MaRDI QIDQ1755936

Sheng-Da Zeng, Stanislaw Migórski

Publication date: 11 January 2019

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2018204

zbMATH Keywords

strong solutionRothe method\(m\)-accretive operator\(C_{0}\)-semigroupfractional integral diffusion equation

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Groups and semigroups of linear operators (47D03) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Difference equations (39Axx) Nonlinear functional analysis (46Txx)

Related Items (6)

Discrete Morse Flow for Yamabe Type Heat Flows ⋮ Method of time-discretization to a multiterm nonlinear retarded differential equation ⋮ Rothe's method for solving multi‐term Caputo–Katugampola fractional delay integral diffusion equations ⋮ Strong solutions to quasi-linear differential equations with deviating arguments ⋮ Space-dependent variable-order time-fractional wave equation: Existence and uniqueness of its weak solution ⋮ Sensitivity analysis of optimal control problems governed by nonlinear Hilfer fractional evolution inclusions

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