Bäcklund transformation of fractional Riccati equation and its applications to nonlinear fractional partial differential equations

2012 ◽  
Vol 376 (28-29) ◽  
pp. 2045-2048 ◽  
Author(s):  
Bin Lu
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Riccati Equation ◽  
Bäcklund Transformation ◽  
Fractional Partial Differential Equations ◽  
Backlund Transformation ◽  
Partial Differential

scholarly journals Bäcklund Transformation of Fractional Riccati Equation and Infinite Sequence Solutions of Nonlinear Fractional PDEs

2014 ◽  
Vol 2014 ◽  
pp. 1-6 ◽  
Author(s):  
Bin Lu
Keyword(s):  
Partial Differential Equations ◽  
Riccati Equation ◽  
Infinite Sequence ◽  
Bäcklund Transformation ◽  
Superposition Principle ◽  
Fractional Partial Differential Equations ◽  
Backlund Transformation ◽  
Nonlinear Superposition ◽  
Fractional Pdes ◽  
Liouville Derivative

The Bäcklund transformation of fractional Riccati equation with nonlinear superposition principle of solutions is employed to establish the infinite sequence solutions of nonlinear fractional partial differential equations in the sense of modified Riemann-Liouville derivative. To illustrate the reliability of the method, some examples are provided.

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