THERMAL SCIENCE
International Scientific Journal
NEW EXACT SOLUTIONS OF THE LOCAL FRACTIONAL (3+1)-DIMENSIONAL KADOMSTEV-PETVIASHVILI EQUATION
ABSTRACT
Aided by the local fractional derivative, we present a new local fractional (3+1)-dimensional Kadomstev-Petviashvili equation for describing the fractal water wave in this work. The non-differentiable transform is utilized to convert the local fractional equation into a local fractional ODE. On defining the Mittag-Leffler function on the Cantor sets, then a trial function based on the Mittag-Leffler function is proposed to seek for the non-differentiable exact solutions. The results reveal that the proposed method is a promising way to study the local fractional PDE arising in engineering and physics.
KEYWORDS
PAPER SUBMITTED: 2024-02-02
PAPER REVISED: 2024-03-11
PAPER ACCEPTED: 2024-05-09
PUBLISHED ONLINE: 2024-09-28
THERMAL SCIENCE YEAR
2024, VOLUME
28, ISSUE
Issue 4, PAGES [3473 - 3478]
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