The fifth-order Korteweg-de Vries (fKdV) equation is a nonlinear model in various long wave physical phenomena. The residual power series method (RPSM) is used to gain the approximate solutions of the time fractional fKdV equation in this study. Basic definitions of fractional derivatives are described in the Caputo sense. The solutions of the time fractional fKdV equation with easily computable components are calculated as a quick convergent series. When compared to exact solutions, the RPSM provides good accuracy for approximate solutions. The reliability of the proposed method is also illustrated with the aid of table and graphs. Cleary observed from the results that the suggested method is suitable and simple for similar type of the time fractional nonlinear differential equations.
Fractional partial differential equation Fifth-order Korteweg-de Vries equation Residual power series method Caputo derivative Approximate solutions.
Primary Language | English |
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Subjects | Mathematical Sciences |
Journal Section | Natural Sciences |
Authors | |
Publication Date | September 30, 2022 |
Submission Date | March 14, 2022 |
Acceptance Date | August 2, 2022 |
Published in Issue | Year 2022 |