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K. Diethelm

17 papers hereh-index 3518.6k citations102 works total

Matching runs newest-first, so older work may not be attached to this profile yet.

author position
  • sole author9
  • first author7
  • last author1

Across the 17 of 17 papers where every author was matched, so the position is known.

fields
  • math.CA9
  • math.NA6
  • cs.SE1
  • math.FA1

identity via Semantic Scholar / OpenAlex

activity
20132023
most citedWhy fractional derivatives with nonsingular kernels should not be used

155 citations · 487 across the 17 of their papers we have counts for

collaborators
Showing 2021 · math.CAShow all

2 papers · 2 filters

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 α∈(0,1] 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…

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Not affiliated with arXiv. Researcher data from Semantic Scholar (ODC-BY) and OpenAlex.