Study of Burger Equation Using <i>q</i>-HAM with Yang-Abdel-Cattani Derivative

Faten Aldosari; Manvendra Narayan  Mishra

doi:10.37256/cm.6120255817

Study of Burger Equation Using q-HAM with Yang-Abdel-Cattani Derivative

Authors

Faten Aldosari Department of Mathematics, College of Science, Shaqra University, P.O. Box 15572, Shaqra, 11961, Saudi Arabia https://orcid.org/0009-0007-8867-0787
Manvendra Narayan Mishra Department of Mathematics, Suresh Gyan Vihar University, Jaipur, India https://orcid.org/0000-0002-6471-3574

DOI:

https://doi.org/10.37256/cm.6120255817

Keywords:

Burger equation, Yang-Abdel-Cattani derivative, fractional operator, fixed point condition, homotopy, q-homotopy, q-HAM, HAM

Abstract

In order to solve the generalized Burgers equation, this research work introduces one of the most recent operators in fractional calculus. An easier-to-understand version of the problem can be obtained by using the Yang-Abdel-Cattani fractional operator. The generalized Burgers equation's result is obtained analytically effectively using the q-homotopy analysis method (q-HAM). A visual study is also acquired to demonstrate the operation of the technique. By employing this approach to solve the generalized Burgers problem, this study advances the field of nonlinear differential equations.

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Published

2025-01-16

How to Cite

Faten Aldosari, Mishra MN. Study of Burger Equation Using <i>q</i>-HAM with Yang-Abdel-Cattani Derivative. Contemp. Math. [Internet]. 2025 Jan. 16 [cited 2025 Jan. 18];6(1):689-702. Available from: https://ojs.wiserpub.com/index.php/CM/article/view/5817

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Issue

Contemporary Mathematics, Volume 6 Issue 1 (2025)

Section

Research Article

License

This work is licensed under a Creative Commons Attribution 4.0 International License.