Properties of the Laplace transform on time scales with arbitrary graininess
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Date
2011
Journal Title
Journal ISSN
Volume Title
Publisher
Taylor & Francis Ltd
Open Access Color
Green Open Access
No
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Publicly Funded
No
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Impulse
Top 10%
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Top 10%
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Top 10%
Abstract
We generalize several standard properties of the usual Laplace transform to the Laplace transform on arbitrary time scales. Some of these properties were justified earlier under certain restrictions on the graininess of the time scale. In this work, we have no restrictions on the graininess.
Description
Bohner, Martin/0000-0001-8310-0266; Karpuz, Basak/0000-0002-0242-972X
Keywords
Laplace transform, time scales, dynamic equation, exponential function, Laplace transform, time scales, exponential function, dynamic equation
Turkish CoHE Thesis Center URL
Fields of Science
0101 mathematics, 01 natural sciences
Citation
WoS Q
Q2
Scopus Q
Q2
OpenCitations Citation Count
27
Source
Integral Transforms and Special Functions
Volume
22
Issue
11
Start Page
785
End Page
800
PlumX Metrics
Citations
CrossRef : 20
Scopus : 38
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Mendeley Readers : 1
SCOPUS™ Citations
39
checked on Feb 07, 2026
Web of Science™ Citations
27
checked on Feb 07, 2026
Page Views
5
checked on Feb 07, 2026
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