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Mathematica Applications on Time Scales

Ahmet Yantir
Organization: Izmir Institute of Mathematics, Turkey
Department: Department of Mathematics
Ünal Ufuktepe
Organization: Izmir Institute of Technology
Department: Department of Mathematics
Journal / Anthology

Computational Science and Its Applications – ICCSA 2005
Year: 2005
Page range: 529-537

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 NDelta(t) = N(t), and show that the solution is a generalized exponential function with Mathematica.

*Mathematics > Calculus and Analysis > Calculus