New modifications of natural transform iterative method and q-homotopy analysis method applied to fractional order KDV-Burger and Sawada–Kotera equations

New modifications of natural transform iterative method and q-homotopy analysis method applied to fractional order KDV-Burger and Sawada–Kotera equations

This manuscript presents enhanced versions of two methods: the natural transform iterative method (NTIM) and the q-homotopy analysis method (q-HAM). These methods harness concepts from Fractional Calculus, particularly leveraging the Caputo fractional derivative operator, to successfully manage the...

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Bibliographic Details
Main Authors: Muayyad Mahmood Khalil, Siddiq Ur Rehman, Ali Hasan Ali, Rashid Nawaz, Belal Batiha
Format: Article
Language:English
Published: Elsevier 2024-12-01
Series:Partial Differential Equations in Applied Mathematics
Subjects:
Fractional calculus
Fifth-order Sawada–Kotera equation
Fractional nonlinear KDV-burgers
q-homotopy analysis method
Caputo operator
Natural transform iterative method
Online Access:http://www.sciencedirect.com/science/article/pii/S266681812400336X
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