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EXACT SOLUTIONS FOR FRACTIONAL GENERALIZED FIFTH ORDER NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS VIA RATIONAL EXPONENTIAL FUNCTION METHOD

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Název: EXACT SOLUTIONS FOR FRACTIONAL GENERALIZED FIFTH ORDER NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS VIA RATIONAL EXPONENTIAL FUNCTION METHOD
Autoři: I.H., Iliyasu, S., Sulaiman, S., Maitama
Zdroj: Bayero Journal of Pure and Applied Sciences; Vol. 15 No. 1 (2024): Special Conference Edition; 184-190
Informace o vydavateli: Kano, Nigeria : Bayero University, 2025.
Rok vydání: 2025
Témata: Fifth-order nonlinear fractional Partial Differential Equation, Rational Exponential Function Method, Beta Fractional Derivative
Popis: In this paper, we applied the Rational Exponential Function Method to solve generalized fractional fifth-order time-fractional nonlinear partial differential equations. The fractional derivative was formulated using the Beta fractional derivative. Analytical solutions were obtained, and their behavior was analyzed through 2D and 3D graphical visualizations for various parameter values, including α, ρ, β and η among others, across different time intervals. The results demonstrate the influence of the fractional order parameter α on the stability and consistency of the solution behavior.
Druh dokumentu: Article
Popis souboru: application/pdf
Jazyk: English
ISSN: 2006-6996
Přístupová URL adresa: https://www.ajol.info/index.php/bajopas/article/view/298268
Přístupové číslo: edsair.78975075580c..28c88e036fd5d9af8b70d631402807c2
Databáze: OpenAIRE
Popis
Abstrakt:In this paper, we applied the Rational Exponential Function Method to solve generalized fractional fifth-order time-fractional nonlinear partial differential equations. The fractional derivative was formulated using the Beta fractional derivative. Analytical solutions were obtained, and their behavior was analyzed through 2D and 3D graphical visualizations for various parameter values, including α, ρ, β and η among others, across different time intervals. The results demonstrate the influence of the fractional order parameter α on the stability and consistency of the solution behavior.
ISSN:20066996