Global solution and global orbit to reaction-diffusion equation for
fractional Dirichlet-to-Neumann operator with subcritical exponent
Abstract
We consider the reaction-diffusion equation for fractional
Dirichlet-to-Neumann operator with subcritical exponent motivated by
electrical impedance tomography (EIT) and a need to overcome the
Non-locality of a fractional differential equation for modeling
anomalous diffusion. We mainly deal with the asymptotic behavior of
global solution and the boundedness of global orbit which allows us to
show that any global solution is classical solution using Moser
iteration technique.