On the q-Laplace Transform and Related Special Functions
AbstractMotivated by statistical mechanics contexts, we study the properties of the q-Laplace transform, which is an extension of the well-known Laplace transform. In many circumstances, the kernel function to evaluate certain integral forms has been studied. In this article, we establish relationships between q-exponential and other well-known functional forms, such as Mittag–Leffler functions, hypergeometric and H-function, by means of the kernel function of the integral. Traditionally, we have been applying the Laplace transform method to solve differential equations and boundary value problems. Here, we propose an alternative, the q-Laplace transform method, to solve differential equations, such as as the fractional space-time diffusion equation, the generalized kinetic equation and the time fractional heat equation. View Full-Text
A printed edition of this Special Issue is available here.
Share & Cite This Article
Naik, S.R.; Haubold, H.J. On the q-Laplace Transform and Related Special Functions. Axioms 2016, 5, 24.
Naik SR, Haubold HJ. On the q-Laplace Transform and Related Special Functions. Axioms. 2016; 5(3):24.Chicago/Turabian Style
Naik, Shanoja R.; Haubold, Hans J. 2016. "On the q-Laplace Transform and Related Special Functions." Axioms 5, no. 3: 24.
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.