YENİ BİR YARDIMCI DENKLEM KULLANARAK KESİRLİ RLW BURGES DENKLEMI IÇIN TAM ÇÖZÜM BULMA

Abstract

Bu çalışmada kesirli lineer olmayan kısmi diferensiyel denklemlerin tam çözümlerinin oluşturulması için Riccati denkleminden farklı bir yardımcı denklem ile yeni bir metod kullanılmıştır. Bu metodun ana fikri, Riccati denkleminden farklı olarak yeni çözümlere sahip yeni bir yardımcı denklemden en iyi şekilde yararlanmaktır. Sonuç olarak, kesirli RLW Burgers denklemi için birçok yeni çözüm elde edilmiştir.

Keywords

• Kesirli Lineer Olmayan Kısmi Diferensiyel Denklemler, Denklemler, Kesirli RLW Burgers Denklemi, Modified Riemann–Liouville Türevi, Lineer Olmayan Kısmi Diferensiyel Denklemler, Riemann–Liouville Türevi,

FINDING EXACT SOLUTION BY USING A NEW AUXILIARY EQUATION FOR FRACTIONAL RLW BURGES EQUATION

Öz

In this study a new method with a different auxiliary equation from the Riccati equation is used for constructing exact solutions of fractional nonlinear partial differential equations. The main idea of this method is to take full advantage of a different auxiliary equation from the Riccati equation which has more new solutions. Finally, more new solutions have been obtained for the fractional RLW Burgers equation.

Anahtar Kelimeler

• Fractional Nonlinear Partial Differential Equations, Fractional RLW Burgers Equation, Modified Riemann–Liouville Derivative, Nonlinear Partial Differential Equations, Equations, Riemann–Liouville Derivative,

Kaynakça

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