K
Kai Diethelm
Researcher at Braunschweig University of Technology
Publications - 76
Citations - 12337
Kai Diethelm is an academic researcher from Braunschweig University of Technology. The author has contributed to research in topics: Fractional calculus & Cauchy principal value. The author has an hindex of 27, co-authored 70 publications receiving 10826 citations. Previous affiliations of Kai Diethelm include University of Hildesheim.
Papers
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Journal ArticleDOI
Asymptotic behaviour of fixed-order error constants of modified quadrature formulae for Cauchy principal value integrals
Kai Diethelm,Peter Kohler +1 more
Posted Content
Upper and lower estimates for the separation of solutions to fractional differential equations
TL;DR: In this article, the authors investigate how the associated solutions depend on their respective initial conditions, and provide upper and lower bounds for the difference between the two solutions of the same fractional differential equation.
Journal ArticleDOI
Upper and lower estimates for the separation of solutions to fractional differential equations
Kai Diethelm,H.T. Tuan +1 more
TL;DR: In this article , the authors investigate how the associated solutions depend on their respective initial conditions, and provide upper and lower bounds for the difference between the two solutions of the same differential equation.
Book ChapterDOI
Riemann-Liouville Differential and Integral Operators
TL;DR: In this paper, the authors define fractional integral operators in the sense of Riemann and Liouville and investigate their fundamental properties, and then introduce the RiemANN-Liouville differential operators and discuss their behaviour.
Journal ArticleDOI
An Extension of the Well-Posedness Concept for Fractional Differential Equations of Caputo's Type
TL;DR: In this paper, the authors extend the well-posedness concept to the extent that the location of the starting point of the differential operator can also be changed, and prove that the solution depends on this parameter in a continuous way too if the usual assumptions are satisfied.