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First integral method for non-linear differential equations with conformable derivative

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In this paper, we present an analysis based on the first integral method in order to construct exact solutions of the nonlinear fractional partial differential equations (FPDE) described by beta-derivative.… Click to show full abstract

In this paper, we present an analysis based on the first integral method in order to construct exact solutions of the nonlinear fractional partial differential equations (FPDE) described by beta-derivative. A general scheme to find the approximated solutions of the nonlinear FPDE is showed. The results obtained showed that the first integral method is an efficient technique for analytic treatment of nonlinear beta-derivative FPDE.

Keywords: method non; non linear; first integral; differential equations; integral method

Journal Title: Mathematical Modelling of Natural Phenomena
Year Published: 2018

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