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math.CA2019★ 3 cited
Censored Stable Subordinators and Fractional Derivatives
Qiang Du, Lorenzo Toniazzi, Zirui Xu
Based on the popular Caputo fractional derivative of order in , we define the censored fractional derivative on the positive half-line . This derivative pro…
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…