On stability and regularity for subdiffusion equations involving delays

  • Dinh-Ke Tran

    Hanoi National University of Education, Hanoi, Vietnam
  • Thi-Thoa Lam

    University of Hai Duong, Hai Duong, Vietnam
On stability and regularity for subdiffusion equations involving delays cover

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Abstract

We study a class of nonlocal evolution equations involving time-varying delays which is employed to depict subdiffusion processes. The global solvability, stability and regularity are shown by using the resolvent theory, nonlocal Halanay inequality, fixed point argument and embeddings of fractional Sobolev spaces. Our result is applied to the nonlocal Fokker–Planck model with nonlinear force fields.

Cite this article

Dinh-Ke Tran, Thi-Thoa Lam, On stability and regularity for subdiffusion equations involving delays. Z. Anal. Anwend. (2024), published online first

DOI 10.4171/ZAA/1777