Nonlocal final value problem governed by semilinear anomalous diffusion equations

DOI10.3934/EECT.2020038zbMath1455.35302OpenAlexW3013144936MaRDI QIDQ827661

Tran-Phuong-Thuy Lam, Dinh-Ke Tran

Publication date: 13 January 2021

Published in: Evolution Equations and Control Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/eect.2020038

zbMATH Keywords

fixed point argumentresolvent operatoranomalous diffusionnonlocal PDEfinal value problem

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Initial-boundary value problems for second-order parabolic equations (35K20) Inverse problems for PDEs (35R30) Volterra integral equations (45D05) Integro-partial differential equations (35R09)

Related Items (8)

Stability analysis for a class of anomalous diffusion involving impulsives and nonlinear pertubations ⋮ Source identification problems for abstract semilinear nonlocal differential equations ⋮ Asymptotically almost periodic solutions to nonlocal differential equations ⋮ Stability and regularity in inverse source problem for generalized subdiffusion equation perturbed by locally Lipschitz sources ⋮ The final value problem for anomalous diffusion equations involving weak-valued nonlinearities ⋮ On the time-delayed anomalous diffusion equations with nonlocal initial conditions ⋮ Existence and regularity in inverse source problem for fractional reaction-subdiffusion equation perturbed by locally Lipschitz sources ⋮ Stability analysis for nonlocal evolution equations involving infinite delays

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