Thermal Science

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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 No. 4, PAGES [2597 - 2604]

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Fractional derivative of inverse matrix and its applications to soliton theory

© 2026 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence

THERMAL SCIENCE

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Sheng Zhang

Jiao Gao

Bo Xu

FRACTIONAL DERIVATIVE OF INVERSE MATRIX AND ITS APPLICATIONS TO SOLITON THEORY