AZRI, Dhia Eddine2024-10-162024-10-162024-06-08http//localhost:8080/jspui/handle/123456789/12108This dissertation deals with the most important definitions and mathematical prop- erties of q-calculus, such as quantum derivative and Jackson integration, in addition to formulating quantum transformations such as q-Laplace transform and q-Mellin trans- form.enThesis