155 citations · 156 across the 2 of their papers we have counts for
3 papers
math.CA2020★ 155 cited
Why fractional derivatives with nonsingular kernels should not be used
Kai Diethelm, Roberto Garrappa, Andrea Giusti +1
In recent years, many papers discuss the theory and applications of new fractional-order derivatives that are constructed by replacing the singular kernel of the Caputo or Riemann-…
math.FA2019
A Hilbert space approach to fractional differential equations
Kai Diethelm, Konrad Kitzing, Rainer Picard +3
We study fractional differential equations of Riemann-Liouville and Caputo type in Hilbert spaces. Using exponentially weighted spaces of functions defined on , we defi…
math.CA2017★ 1 cited
The mean value theorems and a Nagumo-type uniqueness theorem for Caputo's fractional calculus (Corrected Version)
Kai Diethelm
We generalize the classical mean value theorem of differential calculus by allowing the use of a Caputo-type fractional derivative instead of the commonly used first-order derivati…