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