On Exact Solutions of Fractional Differential Equations
International E-Conference on Mathematical Advances and Applications, İstanbul, Türkiye, 26 - 29 Mayıs 2021, ss.1-10, (Özet Bildiri)
- 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.