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math.AP2019
Existence, uniqueness and regularity of the solution of the time-fractional Fokker-Planck equation with general forcing
Kim-Ngan Le, William McLean, Martin Stynes
A time-fractional Fokker-Planck initial-boundary value problem is considered, with differential operator ,…
math.AP2019
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
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…