I. Johnston

most citedGreen's function estimates for time fractional evolution equations

8 citations · 8 across the 1 of their papers we have counts for

collaborators

3 papers

math.PR2019

Mixed linear fractional boundary value problems

Ifan Johnston, Vassili Kolokoltsov

In this article we obtain two-sided estimates for the Greens function of fractional boundary value problems on $R_{+} \times R_{+} \times R^{d}$ of the form \[(-{…

math.PR2019★ 8 cited

Green's function estimates for time fractional evolution equations

Ifan Johnston, Vassili Kolokoltsov

We look at estimates for the Green's function of time-fractional evolution equations of the form $D_{0 +*}^{ν} u = Lu$ , where $D_{0 +*}^{ν}$ is a Caputo-type time-fractional derivative,…

math.AP2019

Space-time coupled evolution equations and their stochastic solutions

John Herman, Ifan Johnston, Lorenzo Toniazzi

We consider a class of space-time coupled evolution equations (CEEs), obtained by a subordination of the heat operator. Our CEEs reformulate and extend known governing equations of…