<abstract xmlns="http://www.w3.org/1999/xhtml"><p>In this paper, we present numerical solution for the fractional Bratu-type equation via fractional residual power series method (FRPSM). The fractional derivatives are described in Caputo sense. The main advantage of the FRPSM in comparison with the existing methods is that the method solves the nonlinear problems without using linearization, discretization, perturbation or any other restriction. Three numerical examples are given and the results are numerically and graphically compared with the exact solutions. The solutions obtained by the proposed method are in complete agreement with the solutions available in the literature. The results reveal that the FRPSM is a very effective, simple and efficient technique to handle a wide range of fractional differential equations.</p></abstract>

In this paper, we present numerical solution for the fractional Bratu-type equation via fractional residual power series method (FRPSM). The fractional derivatives are described in Caputo sense. The main advantage of the FRPSM in comparison with the existing methods is that the method solves the nonlinear problems without using linearization, discretization, perturbation or any other restriction. Three numerical examples are given and the results are numerically and graphically compared with the exact solutions. The solutions obtained by the proposed method are in complete agreement with the solutions available in the literature. The results reveal that the FRPSM is a very effective, simple and efficient technique to handle a wide range of fractional differential equations.

Solution of the Fractional Bratu-Type Equation Via Fractional Residual Power Series Method

Tatra Mountains Mathematical Publications

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

In this paper, we present numerical solution for the fractional Bratu-type equation via fractional residual power series method (FRPSM). The fractional...

Solution of the Fractional Bratu-Type Equation Via Fractional Residual Power Series Method

Published Online: Nov 04, 2020

Page range: 127 - 142

Received: Feb 11, 2019

DOI: https://doi.org/10.2478/tmmp-2020-0024

Keywords
fractional Bratu-type equation, Caputo fractional derivative, fractional residual power series method

© 2020 Ali Khalouta et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Solution of the Fractional Bratu-Type Equation Via Fractional Residual Power Series Method

Published Online: Nov 04, 2020

Page range: 127 - 142

Received: Feb 11, 2019

DOI: https://doi.org/10.2478/tmmp-2020-0024

Keywordsfractional Bratu-type equation, Caputo fractional derivative, fractional residual power series method

© 2020 Ali Khalouta et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
fractional Bratu-type equation, Caputo fractional derivative, fractional residual power series method