On Exact Solutions of Fractional Differential Equations

Çınar M., Seçer A.

International E-Conference on Mathematical Advances and Applications, İstanbul, Türkiye, 26 - 29 Mayıs 2021, ss.1-10

  • Yayın Türü: Bildiri / Özet Bildiri
  • Basıldığı Şehir: İstanbul
  • Basıldığı Ülke: Türkiye
  • Sayfa Sayıları: ss.1-10
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

In this study, we aim to find the new exact solutions of fractional differential equations via the extended rational sine-cosine and sinh-cosh methods. The considered fractional differential equations can be converted to an ODE by applying a wave transformation and then the solutions of the ODE are supposed to in the extended rational forms. An algebraic equation system is derived by substituting the solutions to the ODE, and by doing some simplifications. When the system is solved, unknowns can be found. The methods are efficient and powerful.