169 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- University of StuttgartDE7 papers
- Max Planck Institute for Intelligent SystemsDE6 papers
- Darmstadt University of Applied SciencesDE5 papers
- Institute of MathematicsPL4 papers
- Vietnam Academy of Science and TechnologyVN4 papers
- European UnionBE3 papers
- Centre National de la Recherche ScientifiqueFR2 papers
- Friedrich-Alexander-Universität Erlangen-NürnbergDE2 papers
- Institute of PhysicsPL2 papers
- Kavli Institute for Theoretical SciencesCN2 papers
- National Research University Higher School of EconomicsRU2 papers
- Radboud University NijmegenNL2 papers
7 papers · 1 filter
On the separation of solutions to fractional differential equations of order
Renu Chaudhary, Kai Diethelm, Safoura Hashemishahraki
Given the Caputo-type fractional differential equation with , we consider two distinct solutions to this equation subject…
Stability Properties of Multi-Order Fractional Differential Systems in 3D
Kai Diethelm, Safoura Hashemishahraki, Ha Duc Thai +1
This paper is devoted to studying three-dimensional non-commensurate fractional order differential equation systems with Caputo derivatives. Necessary and sufficient conditions are…
Asymptotic behaviour of solutions to non-commensurate fractional-order planar systems
Kai Diethelm, Ha Duc Thai, Hoang The Tuan
This paper is devoted to studying non-commensurate fractional order planar systems. Our contributions are to derive sufficient conditions for the global attractivity of non-trivial…
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…
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…
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-…
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…