Error estimates for a semidiscrete finite element method for fractional order parabolic equations

Bangti Jin, Raytcho Lazarov, Zhi Zhou

We consider the initial boundary value problem for the homogeneous time-fractional diffusion equation $\partial^α_t u - \De u =0$ ($0<\alpha <1$) with initial condition $u(x,0)=v(x)$ a…