Boundary Value Problems
Volume 2011 (2011), Article ID 946143, 29 pages
doi:10.1155/2011/946143
Research Article

Asymptotics for Nonlinear Evolution Equation with Module-Fractional Derivative on a Half-Line

Martín P. Árciga A

Instituto de Matemáticas, UNAM, Campus Morelia, Apartado Postal 61-3 (Xangari), 58089 Morelia, MICH, Mexico

Received 22 April 2010; Accepted 16 June 2010

Academic Editor: Daniel Franco

Copyright © 2011 Martín P. Árciga A. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We consider the initial-boundary value problem for a nonlinear partial differential equation with module-fractional derivative on a half-line. We study the local and global in time existence of solutions to the initial-boundary value problem and the asymptotic behavior of solutions for large time.