Abstract
In this paper, we introduce the delta q−Laplace transform on a time scale and investigate some of its properties. We discuss some important properties of fractional delta q−calculus. Then, based on these properties and the q−Laplace transform, we propose an analytical method for solving a class of linear Caputo delta fractional dynamic equations (q−FDEs). This method relies on transforming the corresponding equation into an integer-order linear delta q−dynamic equation (q−DE). In fact, this transformation removes certain terms from a solution of the considered linear Caputo delta q−FDE, resulting in residual terms that satisfy the linear delta q−DE. Several examples are provided to demonstrate the effectiveness and efficiency of the proposed method.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Partial Differential Equations in Applied Mathematics
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
