Analytical Solution of the Local Fractional KdV Equation

Kholoud Saad Albalawi, Ibtehal Alazman, Jyoti Geetesh Prasad and Pranay Goswami ()
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Kholoud Saad Albalawi: Department of Mathematics and Statistics, Imam Mohammad Ibn Saud Islamic University, Riyadh 11566, Saudi Arabia
Ibtehal Alazman: Department of Mathematics and Statistics, Imam Mohammad Ibn Saud Islamic University, Riyadh 11566, Saudi Arabia
Jyoti Geetesh Prasad: MKSSS’s Cummins College of Engineering for Women, Pune 411052, India
Pranay Goswami: School of Liberal Studies, Dr B. R. Ambedkar University Delhi, Delhi 110006, India

Mathematics, 2023, vol. 11, issue 4, 1-13

Abstract: This research work is dedicated to solving the n-generalized Korteweg–de Vries (KdV) equation in a fractional sense. The method is a combination of the Sumudu transform and the Adomian decomposition method. This method has significant advantages for solving differential equations that are both linear and nonlinear. It is easy to find the solutions to fractional-order PDEs with less computing labor.

Keywords: KdV equation; local fractional calculus; Sumudu transform; Adomian decomposition method (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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