Novel exact and solitary solutions of conformable Huxley equation with three effective methods

Abstract

In this study, we applied sub-equation method, Kudryashov method and exp-function method for time fractional Huxley equation (TFHE) in the sense of the conformable derivative and obtained new exact solutions. The results show that these methods are very effective for solving nonlinear fractional differential equations (NFDEs) that arose in mathematical physics. Consequently, these methods are efficient in finding the exact solutions of other NFDES.