Construction and analysis of approximate schemes for the evolution equation of fractional order

Abstract

The evolution equations modeling many process that appear in physique, ecologies, hydrogeology, finance etc. For example, the mathematical model of the problem to transport any substance in atmosphere, because of the diffusion and advection factors, presents an evolution equation.The classical model of this problem use the derivatives of entire order for unknown function. In recent years many authors use the partial derivatives of fractional order by the space variables to modeling such process.