@article{Singh2026, 
author = {Jagdev Singh and Arpita Gupta and Juan J. Nieto and Moisés Rutkoski},
title = {Computational analysis of fractional Drinfeld-Sokolov-Wilson equation associated with regularized form of Hilfer-Prabhakar derivative},
year = {2026},
journal = {Networks and Heterogeneous Media},
volume = {21},
number = {1},
pages = {1-21},
keywords = {Drinfeld-Sokolov-Wilson equation, Prabhakar fractional calculus, regularized version of Hilfer-Prabhakar fractional derivative, Kharrat-Toma transform},
url = {https://www.sciopen.com/article/10.3934/nhm.2026001},
doi = {10.3934/nhm.2026001},
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.}
}