Single-Term Caputo Fractional Differential Equations: Basic Theory and Fundamental Results

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


This chapter is devoted to a detailed study of the basic analytic properties of single-term fractional differential equations involving Caputo differential operators. In particular, we shall deal with the existence and the uniqueness of solutions, with the well-posedness of initial value problems and with smoothness properties of the solutions.


Integral Equation Lipschitz Condition Fractional Differential Equation Lipschitz Constant Continuous Solution 
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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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