Exact solutions for nonlinear fractional differential equations using G′G2-expansion method

Abstract

A relatively new technique which is named as G′G2-expansion method is applied to attain exact solution of nonlinear fractional differential equations (NLFDEs). Exact solutions include hyperbolic solutions, trigonometric solutions and rational solutions. Fractional complex transform is used to convert fractional differential equations into ordinary differential equations. We apply it to the space-time fractional Zakharov Kuznetsov Benjamin Bona Mahony (ZKBBM) and fractional coupled Burgers equation. By using our proposed method some innovative solutions can be derived. Keywords: Zakharov Kuznetsov Benjamin Bona Mahony (ZKBBM) equation, Coupled Burgers equation, Exact solutions, G′G2-expansion method