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20172026
most citedReactive Soft Prototype Computing for Concept Drift Streams

169 citations

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7 papers · 1 filter

math.CA2024★ 6 cited

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…

math.CA2023★ 2 cited

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…

math.CA2022★ 16 cited

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…

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…

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.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…