A generalized fractional sub-equation method for fractional differential equations with variable coefficients

作者：Tang Bo^*; He Yinnian; Wei Leilei; Zhang Xindong

来源：Physics Letters, Section A: General, Atomic and Solid State Physics , 2012, 376(38-39): 2588-2590.

DOI：10.1016/j.physleta.2012.07.018

• Generalized fractional sub-equation method
• Modified Riemann-Liouville derivative
• Fractional differential equation

In this Letter, a generalized fractional sub-equation method is proposed for solving fractional differential equations with variable coefficients. Being concise and straightforward, this method is applied to the space-time fractional Gardner equation with variable coefficients. As a result, many exact solutions are obtained including hyperbolic function solutions, trigonometric function solutions and rational solutions. It is shown that the considered method provides a very effective, convenient and powerful mathematical tool for solving many other fractional differential equations in mathematical physics.

• 出版日期2012-8-6
• 单位西安交通大学