THERMAL SCIENCE

International Scientific Journal

Authors of this Paper

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Sheng Zhang

,

Jiao Gao

,

Bo Xu

FRACTIONAL DERIVATIVE OF INVERSE MATRIX AND ITS APPLICATIONS TO SOLITON THEORY

ABSTRACT
In this paper, a formula of the local fractional partial derivative of inverse matrix is presented and proved. With the help of the derived formula, two new non-linear PDE are derived including the local fractional non-isospectral self-dual Yang-Mills equation and the local fractional principal chiral field equation. It is shown that the formula of the local fractional partial derivative of inverse matrix can be used to derive some other local fractional non-linear PDE in soliton theory.
KEYWORDS
local fractional non-isospectral self-dual Yang-Mills equation, local fractional derivative, inverse matrix, local fractional principal chiral field equation
PAPER SUBMITTED: 2019-04-28
PAPER REVISED: 2019-08-29
PAPER ACCEPTED: 2019-08-29
PUBLISHED ONLINE: 2020-06-21
DOI REFERENCE: https://doi.org/10.2298/TSCI2004597Z
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2020, VOLUME 24, ISSUE Issue 4, PAGES [2597 - 2604]
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Fractional derivative of inverse matrix and its applications to soliton theory

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