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, PakistanFollow
Raja Mehmood Khan, Department of Applied Mathematics HITEC Colleges, HIT Taxila Cantt, PakistanFollow
Mubashir Qayyum, National University of Computer & Emerging Sciences FAST Lahore, PakistanFollow

Corresponding Author

Naveed Imran

Document Type

Research Article

Subject Areas

Applied Mathematics and Computations; Numerical Analysis and Differential Equations

Keywords

Fractional Differential Equations, Homotopy Analysis, Modified Riemann–Liouvill, Derivative, Wave-like Equation.

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.

How to Cite This Article

Imran, Naveed; Khan, Raja Mehmood; and Qayyum, Mubashir (2023) "Homotopy Analysis Method Using Jumarie’s Approach for Nonlinear Wave-like Equations of Fractional-Order," International Journal of Emerging Multidisciplinaries: Mathematics: Vol. 2: Iss. 1, Article 11.
DOI: https://doi.org/10.59790/2790-3257.1041

Receive Date

07-30-2022

Accept Date

08-10-2023

Publication Date

10-21-2023