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
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
