Nonlinear initial boundary-value problems with Riesz fractional derivative

Abstract

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

Keywords

• Riesz fractional derivative
• Riemann-Hilbert problem
• dissipative nonlinear evolution equation
• large time asymptotic