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

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Názov: EXACT SOLUTIONS FOR FRACTIONAL GENERALIZED FIFTH ORDER NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS VIA RATIONAL EXPONENTIAL FUNCTION METHOD
Autori: 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
Informácie o vydavateľovi: Kano, Nigeria : Bayero University, 2025.
Rok vydania: 2025
Predmety: 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 súboru: application/pdf
Jazyk: English
ISSN: 2006-6996
Prístupová URL adresa: https://www.ajol.info/index.php/bajopas/article/view/298268
Prístupové číslo: edsair.78975075580c..28c88e036fd5d9af8b70d631402807c2
Databáza: 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