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March 2022 A novel representation of numerical solution for fractional Bratu-type equation
Ali Khalouta
Adv. Studies: Euro-Tbilisi Math. J. 15(1): 93-109 (March 2022). DOI: 10.32513/asetmj/19322008207

Abstract

In this paper, we give a novel representation of numerical solution for fractional Bratu-type equation using a recent and reliable method, namely the general fractional residual power series method (GFRPSM). The advantage of this method compare with the existing methods is, that method solves the nonlinear problems without using linearization and any other restriction. Three numerical examples are given and the results are compared with the exact solutions both numerically and graphically. The results reveal that GFRPSM is very effective simple and efficient technique to handle a wide range of nonlinear fractional differential equations.

Version Information

The current pdf replaces the original pdf file, first available on 5 April 2022. The new version corrects the DOI prefix to read 10.32513.

Acknowledgments

The author would like to thank Professor Hvedri Inassaridze (Editor-in-chief). The author also expresses thanks to unknown referees for the careful reading and helpful comments, which improved this paper

Citation

Download Citation

Ali Khalouta. "A novel representation of numerical solution for fractional Bratu-type equation." Adv. Studies: Euro-Tbilisi Math. J. 15 (1) 93 - 109, March 2022. https://doi.org/10.32513/asetmj/19322008207

Information

Received: 12 May 2021; Accepted: 20 November 2021; Published: March 2022
First available in Project Euclid: 5 April 2022

Digital Object Identifier: 10.32513/asetmj/19322008207

Subjects:
Primary: 34A08
Secondary: 26A33 , 34K28 , 35C10

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

Rights: Copyright © 2022 Tbilisi Centre for Mathematical Sciences

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Vol.15 • No. 1 • March 2022
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