Unilateral Laplace Transforms on Time Scales

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Abstract

We review the direct and inverse Laplace transforms on non-uniform time scales. We introduce full backward-compatible unilateral Laplace transforms and studied their properties. We also present the corresponding inverse integrals and some examples.

Original languageEnglish
Article number4552
Number of pages21
JournalMathematics
Volume10
Issue number23
DOIs
Publication statusPublished - 1 Dec 2022

Keywords

  • delta derivative
  • delta exponential
  • discrete Laplace transform
  • nabla derivative
  • nabla exponential
  • time scale

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