Asymptotics for Nonlinear Evolution Equation with Module-Fractional Derivative on a Half-Line
Instituto de Matemáticas, UNAM, Campus Morelia, Apartado Postal 61-3 (Xangari), 58089 Morelia, MICH, Mexico
Boundary Value Problems 2011, 2011:946143 doi:10.1155/2011/946143Published: 29 June 2010
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.