Document details

Some properties of nabla Laplace transform on isolated time scales

Author(s): Şan, Müfit ; Dağ, Huriye ; Ortigueira, Manuel Duarte

Date: 2025

Persistent ID: http://hdl.handle.net/10362/200899

Origin: Repositório Institucional da UNL

Subject(s): 44A10; delta derivative; delta exponential; Laplace transform; nabla derivative; nabla exponential; time scale; General Mathematics; 44A10; 44A10; delta derivative; delta derivative; delta exponential; delta exponential; Laplace transform; Laplace transform; nabla derivative; nabla derivative; nabla exponential; nabla exponential; time scale; time scale; General Mathematics; General Mathematics


Description

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.

Document Type Journal article
Language English
Contributor(s) RUN; CTS - Centro de Tecnologia e Sistemas; UNINOVA-Instituto de Desenvolvimento de Novas Tecnologias; DEE - Departamento de Engenharia Electrotécnica e de Computadores; TUBITAK
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