Mathematica applications on time scales

International Conference on Computational Science and Its Applications - ICCSA 2005; 9 May 2005 through 12 May 2005Stefan 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