Generating the novel analytical solutions of the system of partial differential equations with Conformable, M-truncated and Beta derivatives


Esen H. , Seçer A.

9th (Online) International Conference on Applied Analysis and Mathematical Modeling, İstanbul, Turkey, 11 - 13 June 2021, pp.23

  • Publication Type: Conference Paper / Summary Text
  • City: İstanbul
  • Country: Turkey
  • Page Numbers: pp.23

Abstract

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.