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
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.