B盲cklund transformation of fractional Riccati equation and its applications to nonlinear fractional partial differential equations

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• 作者：Bin Lu ; ^{lubinhb@163.com}
• 关键词：Bä ; cklund transformation ; Fractional Riccati equation ; Exact solution ; Fractional differential equation
• 刊名：Physics Letters A
• 出版年：2012
• 期刊代码：57_03759601
• 类别：ph
• 出版时间：4 June, 2012
• 卷：376
• 期：28-29
• 页码：2045-2048
• 文件大小：147 K

摘要

In this Letter, the fractional derivatives in the sense of modified Riemann-Liouville derivative and the B盲cklund transformation of fractional Riccati equation are employed for constructing the exact solutions of nonlinear fractional partial differential equations. The power of this manageable method is presented by applying it to several examples. This approach can also be applied to other nonlinear fractional differential equations.