AUTHOR=Khan Hassan , Kumam Poom , Khan Qasim , Khan Shahbaz , Hajira  , Arshad Muhammad , Sitthithakerngkiet Kanokwan 

TITLE=The Solution Comparison of Time-Fractional Non-Linear Dynamical Systems by Using Different Techniques

JOURNAL=Frontiers in Physics

VOLUME=10

YEAR=2022

URL=https://www.frontiersin.org/journals/physics/articles/10.3389/fphy.2022.863551

DOI=10.3389/fphy.2022.863551

ISSN=2296-424X

ABSTRACT=<p>This comparative study of fractional nonlinear fractional Burger’s equations and their systems has been done using two efficient analytical techniques. The generalized schemes of the proposed techniques for the suggested problems are obtained in a very sophisticated manner. The numerical examples of Burger’s equations and their systems have been solved using Laplace residual power series method and Elzaki transform decomposition method. The obtained results are compared through graphs and tables. The error tables have been constructed to show the associated accuracy of each method. The procedures of both techniques are simple and attractive and, therefore, can be extended to solve other important fractional order problems.</p>