Thermal Science

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Jing-Yan Niu

A REMARK ON A STRONG MINIMUM CONDITION OF A FRACTAL VARIATIONAL PRINCIPLE

ABSTRACT

The fractal variational principle gives a good physical understanding of a discontinuous problem in an energy way, and it is a good tool to revealing the physical phenomenon which cannot be done by the traditional variational theory. A minimum variational principle is very important in ensuring the convergence of artificial intelligence algorithms for numerical simulation and image processing. The strong minimum condition of a fractal variational principle in a fractal space is discussed, and two examples are given to illustrate its simplicity and feasibility.

KEYWORDS

strong minimum condition, fractal variational principle, He’s fractal derivative, Toda oscillator, MEMS system

PAPER SUBMITTED: 2023-04-08

PAPER REVISED: 2023-08-08

PAPER ACCEPTED: 2023-08-10

PUBLISHED ONLINE: 2024-05-18

DOI REFERENCE: https://doi.org/10.2298/TSCI2403371N

CITATION EXPORT: view in browser or download as text file

THERMAL SCIENCE YEAR 2024, VOLUME 28, ISSUE No. 3, PAGES [2371 - 2377]

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A remark on a strong minimum condition of a fractal variational principle

© 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