Global well-posedness for a time-fractional doubly nonlinear equation
Abstract
We consider a time-fractional parabolic equation of doubly nonlinear type, featuring nonlinear terms both inside and outside the differential operator in time. The main nonlinearities are maximal monotone graphs, without restrictions on the growth. In addition, a Lipschitz continuous perturbation is considered. The existence of global weak solutions is obtained via a regularization and Galerkin approximation method. Uniqueness is also discussed under some additional assumptions.
Fields of Study & Subjects
Advanced Mathematical Physics Problems
Fractional Differential Equations Solutions
Stability and Controllability of Differential Equations
Publication details
- Journal / source
- Journal of Differential Equations
- Volume
- 474
- Pages
- 114528–114528
- Publication date
- 26 May 2026
- Language
- EN