Unilateral Laplace Transforms on Time Scales

Müfit Şan and Manuel D. Ortigueira ()
Additional contact information
Müfit Şan: Department of Mathematics, Faculty of Science, Çankırı Karatekin University, Çankırı 18100, Türkiye
Manuel D. Ortigueira: Centre of Technology and Systems—UNINOVA and Department of Electrical Engineering, NOVA Faculty of Science and Technology of NOVA University of Lisbon, Quinta da Torre, 2829-516 Caparica, Portugal

Mathematics, 2022, vol. 10, issue 23, 1-21

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.

Keywords: discrete Laplace transform; time scale; delta derivative; nabla derivative; nabla exponential; delta exponential (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/10/23/4552/pdf (application/pdf)
https://www.mdpi.com/2227-7390/10/23/4552/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:10:y:2022:i:23:p:4552-:d:990574

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().