Fractional Partial Differential Equations and their Numerical Solutions(Chinese Edition)

Language:Chinese.HardCover. Pub Date: 2015-3-1 Pages: 335 Publisher:. Science Press This book mainly concerns the partial differential equations of fractional order and their numerical solutions In Chapter 1. briefly introduce the history of fractional order derivatives and the background of some fractional partial differential equations. in particular. their interplay with random walks. Chapter 2 is devoted to the definition of fractional derivatives and integrals from different points of view. from the Riemann-Liouville type. Caputo type derivatives and fractional Laplacian. to several useful tools in fractional calculus. including the pseudo-differential operators. fractional order Sobolev spaces. commutator estimates and so on. In chapter 3. we discuss some partial differential equations of wide interests. such as the fractional reaction-diffusion equation. fractional Gi...