<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>In this article, we attain new analytical solution sets for nonlinear time-fractional coupled Burgers’ equations which arise in polydispersive sedimentation in shallow water waves using exp-function method. Then we apply a semi-analytical method namely perturbation-iteration algorithm (PIA) to obtain some approximate solutions. These results are compared with obtained exact solutions by tables and surface plots. The fractional derivatives are evaluated in the conformable sense. The findings reveal that both methods are very effective and dependable for solving partial fractional differential equations.</p>
</abstract>

In this article, we attain new analytical solution sets for nonlinear time-fractional coupled Burgers’ equations which arise in polydispersive sedimentation in shallow water waves using exp-function method. Then we apply a semi-analytical method namely perturbation-iteration algorithm (PIA) to obtain some approximate solutions. These results are compared with obtained exact solutions by tables and surface plots. The fractional derivatives are evaluated in the conformable sense. The findings reveal that both methods are very effective and dependable for solving partial fractional differential equations.

Two Reliable Methods for The Solution of Fractional Coupled Burgers’ Equation Arising as a Model of Polydispersive Sedimentation

Faculty of Science and Art, Pamukkale University

Faculty of Science and Art, Nevşehir Hacι Bektaş Veli University

Faculty of Science and Art, Mustafa Kemal University

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution 4.0 Public License.

In this article, we attain new analytical solution sets for nonlinear time-fractional coupled Burgers’ equations which arise in polydispersive sedimentation in...

Two Reliable Methods for The Solution of Fractional Coupled Burgers’ Equation Arising as a Model of Polydispersive Sedimentation

Published Online: Dec 24, 2019

Page range: 523 - 534

Received: Apr 23, 2019

Accepted: Jul 04, 2019

DOI: https://doi.org/10.2478/AMNS.2019.2.00049

Keywords
Fractional Coupled Burger’s Equation, Conformable Fractional Derivative, Perturbation-Iteration Algorithm, Exp-Function Method

© 2019 Ali Kurt et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 Public License.

Two Reliable Methods for The Solution of Fractional Coupled Burgers’ Equation Arising as a Model of Polydispersive Sedimentation

Published Online: Dec 24, 2019

Page range: 523 - 534

Received: Apr 23, 2019

Accepted: Jul 04, 2019

DOI: https://doi.org/10.2478/AMNS.2019.2.00049

KeywordsFractional Coupled Burger’s Equation, Conformable Fractional Derivative, Perturbation-Iteration Algorithm, Exp-Function Method

© 2019 Ali Kurt et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 Public License.

Keywords
Fractional Coupled Burger’s Equation, Conformable Fractional Derivative, Perturbation-Iteration Algorithm, Exp-Function Method