New generalized scheme and hyperbolic solutions of the fractional partial differential equation.

This article is devoted to the exact traveling wave solutions of the space-time fractional Gerdjikov–Ivanov equation by new generalized approach and improved Bernoulli sub-equation method. This equation is modified to include a fractional derivative. Obtained solutions are unique, because of the new conformal fractional derivative definition which is based on a limiting approach. For different types of nonlinear differential equations, the proposed schemes are effective and reliable. [ABSTRACT FROM AUTHOR]