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

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Bibliographic Details
Title: EXACT SOLUTIONS FOR FRACTIONAL GENERALIZED FIFTH ORDER NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS VIA RATIONAL EXPONENTIAL FUNCTION METHOD
Authors: I.H., Iliyasu, S., Sulaiman, S., Maitama
Source: Bayero Journal of Pure and Applied Sciences; Vol. 15 No. 1 (2024): Special Conference Edition; 184-190
Publisher Information: Kano, Nigeria : Bayero University, 2025.
Publication Year: 2025
Subject Terms: Fifth-order nonlinear fractional Partial Differential Equation, Rational Exponential Function Method, Beta Fractional Derivative
Description: 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.
Document Type: Article
File Description: application/pdf
Language: English
ISSN: 2006-6996
Access URL: https://www.ajol.info/index.php/bajopas/article/view/298268
Accession Number: edsair.78975075580c..28c88e036fd5d9af8b70d631402807c2
Database: OpenAIRE
Description
Abstract: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