An investigation of a closed-form solution for non-linear variable-order fractional evolution equations via the fractional Caputo derivative

An investigation of a closed-form solution for non-linear variable-order fractional evolution equations via the fractional Caputo derivative

Determining the non-linear traveling or soliton wave solutions for variable-order fractional evolution equations (VO-FEEs) is very challenging and important tasks in recent research fields. This study aims to discuss the non-linear space–time variable-order fractional shallow water wave equation tha...

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Bibliographic Details
Main Authors: Umair Ali, Muhammad Naeem, Reham Alahmadi, Farah Aini Abdullah, Muhammad Asim Khan, Abdul Hamid Ganie
Format: Article
Language:English
Published: Frontiers Media S.A. 2023-02-01
Series:Frontiers in Physics
Subjects:
space-time variable-order fractional shallow water wave equation
variable-order Caputo fractional derivative
Khater method
closed-form solution
graphical representation
Online Access:https://www.frontiersin.org/articles/10.3389/fphy.2023.1114319/full

Internet

https://www.frontiersin.org/articles/10.3389/fphy.2023.1114319/full

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