Applied Mathematics and Computations; Numerical Analysis and Differential Equations
Fractional Differential Equations, Homotopy Analysis, Modified Riemann–Liouvill, Derivative, Wave-like Equation.
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
"Homotopy Analysis Method Using Jumarie’s Approach for Nonlinear Wave-like Equations of Fractional-Order,"
International Journal of Emerging Multidisciplinaries: Mathematics: Vol. 2:
1, Article 11.