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Exact Solution to Nonlinear Differential Equations of Fractional Order via (<i>G’</i>/<i>G</i>)-Expansion Method
Centre for Undergraduate Studies, University of the Punjab, Lahore, Pakistan
Centre for Undergraduate Studies, University of the Punjab, Lahore, Pakistan
- 1 Centre for Undergraduate Studies, University of the Punjab, Lahore, Pakistan
- 2 Centre for Undergraduate Studies, University of the Punjab, Lahore, Pakistan
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Abstract
In this article, a new application to find the exact solutions of nonlinear partial time-space fractional differential Equation has been discussed. Firstly, the fractional complex transformation has been implemented to convert nonlinear partial fractional differential Equations into nonlinear ordinary differential Equations. Afterwards, the ( G '/ G )-expansion method has been implemented, to celebrate the exact solutions of these Equations, in the sense of modified Riemann-Liouville derivative. As application, the exact solutions of time-space fractional Burgers’ Equation have been discussed.
KeywordsExact Solution to Nonlinear Differential Equations of Fractional Order via (<i>G’</i>/<i>G</i>)-Expansion Method
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