Type: Article

Nonlinear evolution equations with a fractional derivative on a half-line

Elena I. Kaikina;

Abstract:

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