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

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Part of the Lecture Notes in Mathematics book series (LNM,volume 2004)

Abstract

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.

Keywords

  • Integral Equation
  • Lipschitz Condition
  • Fractional Differential Equation
  • Lipschitz Constant
  • Continuous Solution

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Correspondence to Kai Diethelm .

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© 2010 Springer-Verlag Berlin Heidelberg

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Diethelm, K. (2010). Single-Term Caputo Fractional Differential Equations: Basic Theory and Fundamental Results. In: The Analysis of Fractional Differential Equations. Lecture Notes in Mathematics(), vol 2004. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-14574-2_6

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