Analysis of regularized long-wave equation associated with a new fractional operator with Mittag-Leffler type kernel

作者：Kumar, Devendra^*; Singh, Jagdev; Baleanu, Dumitru; Sushila

来源：Physica A: Statistical Mechanics and Its Applications , 2018, 492: 155-167.

DOI：10.1016/j.physa.2017.10.002

• Fractional regularized long-wave equation
• Atangana-Baleanu derivative
• Ion acoustic plasma waves
• Shallow water waves
• Existence and uniqueness
• Fixed-point theorem

In this work, we aim to present a new fractional extension of regularized long-wave equation. The regularized long-wave equation is a very important mathematical model in physical sciences, which unfolds the nature of shallow water waves and ion acoustic plasma waves. The existence and uniqueness of the solution of the regularized long-wave equation associated with Atangana Baleanu fractional derivative having Mittag-Leffler type kernel is verified by implementing the fixed-point theorem. The numerical results are derived with the help of an iterative algorithm. In order to show the effects of various parameters and variables on the displacement, the numerical results are presented in graphical and tabular form.

• 出版日期2018-2-15