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Solution of the fractional Bratu-type equation via fractional residual power series method

In: Tatra Mountains Mathematical Publications, vol. 76, no. 2
Ali Khalouta - Abdelouahab Kadem
Detaily:
Rok, strany: 2020, 127 - 142
Jazyk: eng
Kľúčové slová:
fractional Bratu-type equation, Caputo fractional derivative, fractional residual power series method
Typ článku: Mathematics - Dynamical Systems and their Applications
Typ dokumentu: Scientific paper
O článku:
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.
Ako citovať:
ISO 690:
Khalouta, A., Kadem, A. 2020. Solution of the fractional Bratu-type equation via fractional residual power series method. In Tatra Mountains Mathematical Publications, vol. 76, no.2, pp. 127-142. 1210-3195. DOI: https://doi.org/10.2478/tmmp-2020-0024

APA:
Khalouta, A., Kadem, A. (2020). Solution of the fractional Bratu-type equation via fractional residual power series method. Tatra Mountains Mathematical Publications, 76(2), 127-142. 1210-3195. DOI: https://doi.org/10.2478/tmmp-2020-0024
O vydaní:
Vydavateľ: Mathematical Institute, Slovak Academy of Sciences, Bratislava
Publikované: 20. 10. 2020
Verejná licencia:
The Creative Commons Attribution-NC-ND 4.0 International Public License