Exponential-sum-approximation technique for variable-order time-fractional diffusion equations

Jia-Li Zhang, Zhi-Wei Fang, Hai-Wei Sun

In this paper, we study the variable-order (VO) time-fractional diffusion equations. For a VO function $\alpha (t)\in (0,1)$, we develop an exponential-sum-approximation (ESA) technique t…