Caputo’s Approach

  • Kai DiethelmEmail author
Part of the Lecture Notes in Mathematics book series (LNM, volume 2004)


The Riemann–Liouville fractional derivatives play a very important role in pure mathematics. However they have some properties that are rather undesirable in applications in physics, engineering, and other areas outside of mathematics. Therefore we introduce a modified version of these operators usually attributed to Caputo. We analyze the properties of these operators, compare them to the Riemann–Liouville operators and investigate how the former and the latter interact.


Differential Operator Fractional Derivative Fractional Differential Equation Liouville Operator Caputo Derivative 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  1. 1.GNS Gesellschaft für Numerische Simulation mbHBraunschweigGermany

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