155 citations · 487 across the 17 of their papers we have counts for
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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.NA2022★ 1 cited
A New Diffusive Representation for Fractional Derivatives and its Application
Kai Diethelm
Diffusive representations of fractional derivatives have proven to be useful tools in the construction of fast and memory efficient numerical methods for solving fractional differe…
math.NA2022★ 9 cited
A New Diffusive Representation for Fractional Derivatives, Part II: Convergence Analysis of the Numerical Scheme
Kai Diethelm
Recently, we have proposed a new diffusive representation for fractional derivatives and, based on this representation, suggested an algorithm for their numerical computation. From…