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In this paper, the homotopy analysis transform method is used to solve the time-fractional Sharma-Tasso-Olever (STO) equation. This method yields an approximate analytical solution of a rapidly convergent power series with easily computable terms and produces a good approximate solution on enlarged intervals for solving the time-fractional STO equation.
How to Cite this Article:
Youwei Zhang, Approximate solutions of time-fractional Sharma-Tasso-Olever equations via homotopy analysis methods, Journal of Nonlinear Functional Analysis 2016 (2016), Article ID 41.