Type: Article

Nonlinear evolution equation with a fractional differential operator on a half-line

Elena I. Kaikina;

Abstract:

We consider the initial-boundary value problem on a half-line for the nonlinear evolution equations with a fractional module derivative. We study traditionally important problems of the theory of nonlinear partial differential equations, such as global in time existence of solutions to the initial-boundary value problem and the asymptotic behaviour of solutions for large time.