Work

Semi-Analytic Solution of Fractional Fokker-Planck and Fornburg-Whitham Equations Using a Unique Technique

Year: 2025

Type: article

Abstract: In this work, a new hybrid semi-analytical method is presented, merging the Kamal Transform and the Homotopy Perturbation Method (HPM), for solving fractional differential equations (FDEs) involving the Caputo derivative. The method is used to solve complex systems such as the Fokker-Planck and Fornberg-Whitham equations. This method beats classical iterative techniques in both computational efforts and simplicity. Numerous tables and graphics display the numerical results, establishing the method's accuracy by reference to the residual power series method and exact solutions. Our results illustrate the strength and the precision of this technique to be very efficient with a minor cost against numerical solution techniques for fractional partial differential equations.

Source: Bangmod International Journal of Mathematical and Computational Science

DOI: 10.58715/bangmodjmcs.2025.11.12

Authors: Jignesh Pravin Chauhan, Sagar Rameshbhai Khirsariya, Rahul Mansangbhai Makwana

Institutions: Charotar University of Science and Technology, Marwadi University

Language: English

Topic: Fractional Differential Equations Solutions

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4413189302

FWCI: 4.568

Cites:

Cited by: 6

Related to: 10