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
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, access via your institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2010 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
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
Download citation
DOI: https://doi.org/10.1007/978-3-642-14574-2_6
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-14573-5
Online ISBN: 978-3-642-14574-2
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)
