Open AccessSOLUTION OF THE LOCAL FRACTIONAL GENERALIZED KDV EQUATION USING HOMOTOPY ANALYSIS METHOD
Author(s) -
Hossein Jafari,
Jyoti Geetesh Prasad,
Pranay Goswami,
Ravi Shanker Dubey
Publication year - 2021
Publication title -
fractals
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.654
H-Index - 44
eISSN - 1793-6543
pISSN - 0218-348X
DOI - 10.1142/s0218348x21400144
Subject(s) - mathematics , korteweg–de vries equation , homotopy analysis method , differentiable function , homotopy , fractional calculus , homotopy perturbation method , pure mathematics , mathematical analysis , nonlinear system , physics , quantum mechanics
In this paper, we solve the [Formula: see text]-Generalized KdV equation by local fractional homotopy analysis method (LFHAM). Further, we analyze the approximate solution in the form of non-differentiable generalized functions defined on Cantor sets. Some examples and special cases of the main results are also discussed.