PDFAbstract: In this article, a new integral transform is proposed. Properties of Rishi transform are suggested based on the duality between Rishi transform and the general integral transform. We apply Rishi transform to the general form of the fractional relaxation oscillation differential equation. Analytic solutions of some specific applications are found to demonstrate the effectiveness of this novel integral transform.
Keywords: Rishi transform, general integral transform, fractional relaxation oscillation differential equation
Cite this paper
Eman Anuteen. (2024) Solving Fractional Relaxation Oscillation Differential Equations Using Rishi Transform. International Journal of Mathematical and Computational Methods, 9 , 66-70
Copyright © 2024 Author(s) retain the copyright of this article. This article is published under the terms of the Creative Commons Attribution License 4.0