Mathematica applications on time scales

Abstract

Stefan Hilger introduced the calculus on time scales in order to unify continuous and discrete analysis in 1988. The study of dynamic equations is an active area of research since time scales unifies both discrete and continuous processes, besides many others. In this paper we give many examples on derivative and integration on time scales calculus with Mathematica. We conclude with solving the first order linear dynamic equation N Δ(t) = N(t), and show that the solution is a generalized exponential function with Mathematica. © Springer-Verlag Berlin Heidelberg 2005.