Delta Laplace transform for the anti-causal system defined on isolated time scales
Abstract
This article proposes a new definition for the bilateral delta Laplace transform for the anti-causal system on isolated time scales. It demonstrates that this definition possesses certain properties that offer backward compatibility in some respects, unlike existing definitions in the literature. Furthermore, the properties of this new transform and some basic functions of the delta Laplace transform are demonstrated using real and complex analysis tools.
Fields of Study & Subjects
Nonlinear Differential Equations Analysis
Quantum Mechanics and Applications
Statistical Mechanics and Entropy
Publication details
- Journal / source
- Complex Variables and Elliptic Equations
- Publisher
- Informa UK Limited
- Pages
- 1–27
- Publication date
- 4 May 2026
- Language
- EN