Elements of Time Scale Calculus

  • Svetlin G. Georgiev


This chapter is devoted to a brief exposition of the time scale calculus that provide the framework for the study of fractional dynamic calculus and fractional dynamic equations on time scales. A detailed discussion of the time scale calculus is beyond the scope of this book, for this reason the author confine to outlining a minimal set of properties needed in the further proceeding. The presentation in this chapter follows the books. A deep and thorough insight into the time scale calculus, as well as the discussion of the available bibliography on this issue, can be found in the books.


  1. 2.
    Bohner, M., & Georgiev, S. (2017). Multivariable dynamic calculus on time scales. Cham: Springer.Google Scholar
  2. 5.
    Bohner, M., & Peterson, A. (2003). Dynamic equations on time scales: An introduction with applications. Boston: Birkhäuser.Google Scholar

Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  • Svetlin G. Georgiev
    • 1
  1. 1.Faculty of Mathematics and InformaticsSofia University St Kliment OhridskiSofiaBulgaria

Personalised recommendations