43 citations
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math.AP2019★ 43 cited
Regularity theory for time-fractional advection-diffusion-reaction equations
William McLean, Kassem Mustapha, Raed Ali +1
We investigate the behavior of the time derivatives of the solution to a linear time-fractional, advection-diffusion-reaction equation, allowing space- and time-dependent coefficie…
math.AP2018★ 42 cited
Well-posedness of time-fractional, advection-diffusion-reaction equations
William McLean, Kassem Mustapha, Raed Ali +1
We establish the well-posedness of an initial-boundary value problem for a general class of time-fractional, advection-diffusion-reaction equations, allowing space- and time-depend…