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https://doi.org/10.1007/114248...
Part of book or chapter of book . 2005 . Peer-reviewed
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Mathematica Applications on Time Scales

Authors: Ahmet Yantir; Ünal Ufuktepe;

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

Country
Turkey
Related Organizations
Keywords

Generalized exponential functions, Mathematical models, Dynamic equations, Discrete time control systems, Computer systems, Time scales, Linear dynamic equations

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    popularity
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    influence
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
3
Average
Top 10%
Average
Green