关键词: [(G/G)]-方法, 修正Riemann-Liouville导数, 分数阶Calogero KDV方程

Abstract: A generalized auxiliary equation method, which combines fractional complex transform with [(G/G)]-expansion method, is extended to systematically construct exact solutions of nonlinear space-time fractional differential equations with the aid of computerized symbolic computation software Mathematica in a natural way. The method is used to obtain the exact solutions of fractional Calogero KDV equation. The method provides a promising tool for finding exact solutions of fractional nonlinear partial differential equations.

Key words: [(G/G)]-expansion method, modified Riemann-Liouville derivative, fractional Calogero KDV equation