On well-posedness of the sub-diffusion equation with conformable derivative model
https://doi.org/10.1016/j.cnsns.2020.105332Publisher, magazine: ,
Publication year: 2020
Lưu Trích dẫn Chia sẻAbstract
In this paper, we study an initial value problem for the time diffusion equation on Ω × (0, T), where the time derivative is the conformable derivative. We study the existence and regularity of mild solutions in the following three cases with source term F: • i.e., linear source term; • is nonlinear, globally Lipchitz and uniformly bounded. The results in this case play important roles in numerical analysis. • is nonlinear, locally Lipchitz and uniformly bounded. The analysis in this case can be widely applied to many problems such as – Time Ginzburg-Landau equations ; – Time Burgers equations ; etc.
Tags: Conformable derivative ,Nonlocally differential operator, Diffusion equation, Existence and regularity, Ginzburg-Landau equation, Burger equation
Các bài viết liên quan đến tác giả Nguyễn Huy Tuấn
A nonhomogeneous backward heat problem: regularization and error estimates
A nonlinear case of the 1-D backward heat problem: regularization and error estimate
Regularization and error estimates for nonhomogeneous backward heat problems
Stabilized quasi-reversibility method for a class of nonlinear ill-posed problems
An approximate solution for a nonlinear biharmonic equation with discrete random data
Regularization of a sideways problem for a time-fractional diffusion equation with nonlinear source
Regularization of a terminal value problem for time fractional diffusion equation
Approximation of mild solutions of a semilinear fractional differential equation with random noise