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arXiv · 1712.07333

The new expansion method to solve Fractional KdV-Equations

Uttam Ghosh·Susmita Sarkar·Shantanu Das
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Abstract

Fractional calculus of variation plays an important role to formulate the non-conservative physical problems. In this paper we use semi-inverse method and fractional variational principle to formulate the fractional order generalized Korteweg-deVries (KdV) equation with Jumarie type fractional derivative and proposed a new method to solve the non-linear fractional differential equation named as expansion method. Using this method we obtained the solutions of fractional order generalized KdV. The obtained solutions are more general compare to other method and the solutions are expressed in terms of the generalized hyperbolic, trigonometric functions and rational functions.

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Uttam Ghosh, Susmita Sarkar, Shantanu Das. 2017-12-20. The new expansion method to solve Fractional KdV-Equations. https://arxiv.org/abs/1712.07333

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