140 citations · 245 across the 19 of their papers we have counts for
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On the analysis of mixed-index time fractional differential equation systems
Kevin Burrage, Pamela M. Burrage, Ian W. Turner +1
In this paper we study the class of mixed-index time fractional differential equations in which different components of the problem have different time fractional derivatives on th…
A stable fast time-stepping method for fractional integral and derivative operators
Fanhai Zeng, Ian Turner, Kevin Burrage
A unified fast time-stepping method for both fractional integral and derivative operators is proposed. The fractional operator is decomposed into a local part with memory length $Δ…
Second-order numerical methods for multi-term fractional differential equations: Smooth and non-smooth solutions
Fanhai Zeng, Zhongqiang Zhang, George Em Karniadakis
Starting with the asymptotic expansion of the error equation of the shifted Grünwald--Letnikov formula, we derive a new modified weighted shifted Grünwald--Letnikov (WSGL) formula…