155 citations · 487 across the 17 of their papers we have counts for
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math.NA2021★ 10 cited
Fast Solution Methods for Fractional Differential Equations in the Modeling of Viscoelastic Materials
Kai Diethelm
Fractional order models have proven to be a very useful tool for the modeling of the mechanical behaviour of viscoelastic materials. Traditional numerical solution methods exhibit…
math.CA2021★ 15 cited
Upper and lower estimates for the separation of solutions to fractional differential equations
Kai Diethelm, Hoang The Tuan
Given a fractional differential equation of order with Caputo derivatives, we investigate in a quantitative sense how the associated solutions depend on their respecti…
math.CA2021★ 137 cited
Trends, Directions for Further Research, and Some Open Problems of Fractional Calculus
Kai Diethelm, Virginia Kiryakova, Yuri Luchko +2
The area of fractional calculus (FC) has been fast developing and is presently being applied in all scientific fields. Therefore, it is of key relevance to assess the present state…