International Journal of Mathematics and Computational FrontiersISSN 3108-186X (Online)

Semi-analytical solution for a three-dimensional fractional differential equation via Yang HPM

Mamta Kapoor*

International Journal of Mathematics and Computational Frontiers, Vol. 1, Issue 2 · Pages 33–44 · July–December 2025

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Abstract

In the present article, Yang Homotopy Perturbation Method is applied to tackle there fractional PDEs such as; fractional 3D Helmholtz equation and fractional 3D coupled Burgers’ equation. The Yang transform is combined with HPM to form the technique named Yang HPM. The series solution for these equations is obtained via this method. This method has a fast convergence a sin a smaller number of terms the closed form of solution is fetched. It is an easy to implement method in order to tackle the complex-natured fractional PDEs.

Keywords: Yang transform, HPM, fractional 3D Helmholtz equation, fractional 3D coupled Burgers’ equation

How to cite

Mamta Kapoor (2025). Semi-analytical solution for a three-dimensional fractional differential equation via Yang HPM. International Journal of Mathematics and Computational Frontiers, 1(2), 33–44.