Computational analysis of fractional Drinfeld-Sokolov-Wilson equation associated with regularized form of Hilfer-Prabhakar derivative
Abstract
In this research paper, we utilize an analytical technique to investigate the behavior of the Drinfeld-Sokolov-Wilson equation of arbitrary order. The implemented technique is an adequate composition of the Kharrat-Toma transform and the q-homotopy analysis approach. Here, a regularized form of the Hilfer-Prabhakar derivative of arbitrary order is used to formulate the problem. The Drinfeld-Sokolov-Wilson equation of arbitrary order is utilized to model the dispersive water waves and plays a very significant role in fluid dynamics. The results of the discussed model are presented graphically to show the efficiency and reliability of the obtained results.
Fields of Study & Subjects
Fractional Differential Equations Solutions
Nonlinear Waves and Solitons
Thermoelastic and Magnetoelastic Phenomena
Publication details
- Journal / source
- Networks and Heterogeneous Media
- Publisher
- American Institute of Mathematical Sciences (AIMS)
- Volume
- 21
- Issue
- 1
- Pages
- 1–21
- Publication date
- 1 January 2026