Homotopy Analysis Method Using Jumarie’s Approach for Nonlinear Wave-like Equations of Fractional-order.

Authors

  • Naveed Imran* Department of Applied Mathematics HITEC Colleges, HIT Taxila Cantt, Pakistan
  • Raja Mehmood Khan Department of Applied Mathematics HITEC Colleges, HIT Taxila Cantt, Pakistan
  • Mubashir Qayyum National University of Computer & Emerging Sciences FAST Lahore, Pakistan

DOI:

https://doi.org/10.54938/ijemdm.2025.03.1.95

Keywords:

Wave-like Equation, Homotopy Analysis, Modified Riemann–Liouvill derivative

Abstract

In this paper, Homotopy Analysis Method (HAM) using the modified Riemann–Liouville fractional derivative proposed by G. Jumarie is applied to tackle the nonlinear wave like equations of fractional-order. The proposed technique is fully compatible with the complexity of these problems and obtained results are highly encouraging. Numerical results coupled with graphical repetitions explicitly reveal the complete reliability and efficiency of the suggested algorithm.

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Published

2025-02-28

How to Cite

Imran*, N., Mehmood Khan, R., & Qayyum, M. . (2025). Homotopy Analysis Method Using Jumarie’s Approach for Nonlinear Wave-like Equations of Fractional-order. International Journal of Emerging Multidisciplinaries: Mathematics, 3(1), 14. https://doi.org/10.54938/ijemdm.2025.03.1.95

Issue

Vol. 3 No. 1 (2025): IJEMD-MATHEMATICS

Section

Research Article

Categories

License

Copyright (c) 2025 International Journal of Emerging Multidisciplinaries: Mathematics

Creative Commons License

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

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