A New Extension of Optimal Auxiliary Function Method to Fractional Non-Linear Coupled ITO System and Time Fractional Non-Linear KDV System

A New Extension of Optimal Auxiliary Function Method to Fractional Non-Linear Coupled ITO System and Time Fractional Non-Linear KDV System

In this article, we investigate the utilization of Riemann–Liouville’s fractional integral and the Caputo derivative in the application of the Optimal Auxiliary Function Method (OAFM). The extended OAFM is employed to analyze fractional non-linear coupled ITO systems and non-linear KDV systems, whic...

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Bibliographic Details
Main Authors: Rashid Nawaz, Aaqib Iqbal, Hina Bakhtiar, Wissal Audah Alhilfi, Nicholas Fewster-Young, Ali Hasan Ali, Ana Danca Poțclean
Format: Article
Language:English
Published: MDPI AG 2023-09-01
Series:Axioms
Subjects:
optimal auxiliary function method (OAFM)
riemann–liouville integral
modified riemann–liouville derivatives
time fractional coupled ITO system
non-linear KDV system of time fractional order
Caputo fractional derivative
Online Access:https://www.mdpi.com/2075-1680/12/9/881

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https://www.mdpi.com/2075-1680/12/9/881

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