## THERMAL SCIENCE

International Scientific Journal

### 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**

PAPER SUBMITTED: 2023-04-08

PAPER REVISED: 2023-08-08

PAPER ACCEPTED: 2023-08-10

PUBLISHED ONLINE: 2024-05-18

**THERMAL SCIENCE** YEAR

**2024**, VOLUME

**28**, ISSUE

**Issue 3**, PAGES [2371 - 2377]

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