Some properties of nabla Laplace transform on isolated time scales

Authors

MÜFİT ŞANFollow
HURİYE DAĞFollow
MANUEL D. ORTIGUEIRAFollow

Author ORCID Identifier

MÜFİT ŞAN: 0000-0001-6852-1919

HURİYE DAĞ: 0009-0004-7511-2848

MANUEL D. ORTIGUEIRA: 0000-0003-4270-3284

Abstract

This study presents the properties of the bilateral and unilateral nabla Laplace transform, defined on isolated time scales. Furthermore, it explores the nabla Laplace transforms of several elementary functions, employing various proof techniques from real and complex analysis. The findings are illustrated with examples, demonstrating the applicability of these definitions.

DOI

10.55730/1300-0098.3625

Keywords

Laplace transform, time scale, delta derivative, nabla derivative, nabla exponential, delta exponential

First Page

784

Last Page

807

Publisher

The Scientific and Technological Research Council of Türkiye (TÜBİTAK)

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Recommended Citation

ŞAN, M, DAĞ, H, & ORTIGUEIRA, M (2025). Some properties of nabla Laplace transform on isolated time scales. Turkish Journal of Mathematics 49 (6): 784-807. https://doi.org/10.55730/1300-0098.3625