155 citations · 487 across the 17 of their papers we have counts for
Showing 2017Show all
3 papers · 1 filter
math.CA2017
An Analytic and Numerical Analysis of Weighted Singular Cauchy Integrals with Exponential Weights on
S. B. Damelin, K. Diethelm
This paper concerns an analytic and numerical analysis of a class of weighted singular Cauchy integrals with exponential weights with finite moments and with smooth e…
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…
math.CA2017★ 49 cited
Asymptotic behavior of solutions of linear multi-order fractional differential equation systems
Kai Diethelm, Stefan Siegmund, H. T. Tuan
In this paper, we investigate some aspects of the qualitative theory for multi-order fractional differential equation systems. First, we obtain a fundamental result on the existenc…