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

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Titel: EXACT SOLUTIONS FOR FRACTIONAL GENERALIZED FIFTH ORDER NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS VIA RATIONAL EXPONENTIAL FUNCTION METHOD
Autoren: I.H., Iliyasu, S., Sulaiman, S., Maitama
Quelle: Bayero Journal of Pure and Applied Sciences; Vol. 15 No. 1 (2024): Special Conference Edition; 184-190
Verlagsinformationen: Kano, Nigeria : Bayero University, 2025.
Publikationsjahr: 2025
Schlagwörter: Fifth-order nonlinear fractional Partial Differential Equation, Rational Exponential Function Method, Beta Fractional Derivative
Beschreibung: 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.
Publikationsart: Article
Dateibeschreibung: application/pdf
Sprache: English
ISSN: 2006-6996
Zugangs-URL: https://www.ajol.info/index.php/bajopas/article/view/298268
Dokumentencode: edsair.78975075580c..28c88e036fd5d9af8b70d631402807c2
Datenbank: OpenAIRE