LAUSR

Abstract In this paper, the new exact solutions for the (2 + 1) dimensional time fractional Zoomeron equation have been derived via two efficient analytical techniques, which are the extended exp ( − Φ ( ξ ) ) -expansion technique and the novel exponential rational function technique. The fractional derivative is designated based on the conformable derivative sense. Consequently, many new closed form solutions of this equation are obtained including hyperbolic function solutions, trigonometric function solutions and exponential function solutions by using these techniques. The obtained results show that the applied methods are very effective, reliable and simple for solving other nonlinear fractional differential equations in mathematical physics and nonlinear optics.