Analytical Solution of Generalized Bratu-Type Fractional Differential Equations Using the Homotopy Perturbation Transform Method

Autor: Ghaliah Alhamzi, Aafrin Gouri, Badr Saad T. Alkahtani, Ravi Shanker Dubey
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Axioms, Vol 13, Iss 2, p 133 (2024)
Druh dokumentu: article
ISSN: 2075-1680
DOI: 10.3390/axioms13020133
Popis: In this study, we present the generalized form of the higher-order nonlinear fractional Bratu-type equation. In this generalization, we deal with a generalized fractional derivative, which is quite useful from an application point of view. Furthermore, some special cases of the generalized fractional Bratu equation are recognized and examined. To solve these nonlinear differential equations of fractional order, we employ the homotopy perturbation transform method. This work presents a useful computational method for solving these equations and advances our understanding of them. We also plot some numerical outcomes to show the efficiency of the obtained results.
Databáze: Directory of Open Access Journals
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