Generating the novel analytical solutions of the system of partial differential equations with Conformable, M-truncated and Beta derivatives
9th (Online) International Conference on Applied Analysis and Mathematical Modeling, İstanbul, Türkiye, 11 - 13 Haziran 2021, ss.23, (Özet Bildiri)
- Yayın Türü: Bildiri / Özet Bildiri
- Basıldığı Şehir: İstanbul
- Basıldığı Ülke: Türkiye
- Sayfa Sayıları: ss.23
- Yıldız Teknik Üniversitesi Adresli: Evet
Özet
In recent years, plenty of real-life problems have been modeled utilizing nonlinear partial differential
equations. Furthermore, some of the nonlinear partial differential equations for exploring novel traits of real-life
problems have been altered. In the past several decades, several researchers have analyzed that fractional differential equations are one of the best ways of clarifying real-life problems along with different engineering fields
such as sensors, actuators, and many more. In this research, we study the novel traveling wave solutions and other
solutions with conformable, M-truncated, and beta fractional derivatives for the nonlinear fractional system. The
exact solutions of this system are acquired utilizing Riccati-Bernoulli sub-ODE method. A comparative approach
is presented between the solutions with the fractional derivatives. For the validity of the solutions, the constraints
conditions are determined. The 2D and 3D graphs of the acquired solutions are successfully charted by selecting
appropriate values of parameters.