On multiterm time-fractional diffusion equations with additional memory
Abstract
Abstract In this work, we investigate the well-posedness and regularity of solutions to an abstract fractional differential equation that incorporates additional memory effects arising from nonlocal-in-time operators. Such equations are of interest because of their relevance in modeling complex phenomena, such as anomalous diffusion and viscoelastic behavior. We reformulate the problem as a perturbation of a parabolic Volterra integral equation. By applying Laplace transform techniques and resolvent estimates, we establish existence, uniqueness, and regularity results under mild assumptions on the underlying operators and memory kernels.
Fields of Study & Subjects
Fractional Differential Equations Solutions
Differential Equations and Boundary Problems
Nonlinear Differential Equations Analysis
Publication details
- Journal / source
- Fractional Calculus and Applied Analysis
- Volume
- 29
- Issue
- 2
- Pages
- 572–591
- Publication date
- 26 February 2026
- Language
- EN