New analytical solutions for space and time fractional Phi-4 equation

Year 2020, Volume: 1 Issue: 1, 30 - 46, 01.06.2020

Ayşegül Daşcıoğlu , Sevil Çulha Ünal , Dilek Varol Bayram

Abstract

In this paper, by utilizing an analytical method based on the Jacobi elliptic functions, the largest set in the literature of time, space and space-time conformable fractional Phi-4 equations is found. These solutions are obtained in general form including rational, trigonometric, hyperbolic and complex functions. Four problems are presented to illustrate the application of the method and some of the solutions are also demonstrated by the graphics.

Keywords

Jacobi elliptic functions, Space-time fractional Phi-4 equation, Conformable fractional derivative, Analytic method

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