Optimum Solutions of Fractional Order Zakharov–Kuznetsov Equations

Rashid Nawaz, Laiq Zada, Abraiz Khattak, Muhammad Jibran, Adam Khan
2019 Complexity  
In this paper, the Optimal Homotopy Asymptotic Method is extended to derive the approximate solutions of fractional order two-dimensional partial differential equations. The fractional order Zakharov–Kuznetsov equation is solved as a test example, while the time fractional derivatives are described in the Caputo sense. The solutions of the problem are computed in the form of rapidly convergent series with easily calculable components using Mathematica. Reliability of the proposed method is
more » ... by comparison with other methods in the literature. The obtained results showed that the method is powerful and efficient for determination of solution of higher-dimensional fractional order partial differential equations.
doi:10.1155/2019/1741958 fatcat:hs522e6ccbhpnbrelhzcvp4b2m