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Ordinary Differential Equations and Applied Dynamics Commons™
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Full-Text Articles in Ordinary Differential Equations and Applied Dynamics
Homotopy Analysis Method Using Jumarie’S Approach For Nonlinear Wave-Like Equations Of Fractional-Order, Naveed Imran, Raja Mehmood Khan, Mubashir Qayyum
Homotopy Analysis Method Using Jumarie’S Approach For Nonlinear Wave-Like Equations Of Fractional-Order, Naveed Imran, Raja Mehmood Khan, Mubashir Qayyum
International Journal of Emerging Multidisciplinaries: Mathematics
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.