Nonlinear Schrodinger equation under non-singular fractional operators: A computational study

In this article, we present study on time fractional nonlinear Schrodinger equation. We investigate the behaviour of the aforesaid equation in two numerous types of operators having non-singular kernels, which are Atangana-Baleanu and Caputo-Fabrizio operators both considered in Caputo's sense. The considered operators are very useful as they present tremendous dynamics of the suggested equation. We obtain numerical and analytical solutions of the proposed equation under the aforementioned fractional operators by modified double Laplace transform. We present the error analysis of the suggested scheme, where we observed that the considered system primarily depend on time. When time is small, we obtain very small error between the exact and approximate solutions. For the efficiency of our considered scheme, we present some examples. Further, we present the graphical and numerical analysis of the scheme used for the solution.

Automated summary

In this article, the behaviour of the time fractional nonlinear Schrodinger equation under two different operators are investigated. Numerical and analytical solutions are obtained using the modified double Laplace transform. The error analysis shows that the system depends primarily on time, with small errors observed for small time values. The efficiency of the proposed scheme is verified with examples and further analyzed graphically and numerically.