Article
Fractal Dimension (Df) Theory of Ismail’s Entropy (IE) with Potential Df Applications to Structural Engineering
- In this exposition, the fractal dimension theory of Ismail’s entropy, namely IE, is revealed for the first time ever.
- More potentially, this study has revealed how this discovery reveals the dominancy of IE, especially from a fractal dimension perspective.
- On another applicative note, some applications of fractal dimension to structural engineering are addressed.
- Having addressed these two potential applications, the frontiers are full of hopes to proceed with more and more , yet to explore, especially to enhance space industry and other unprecedented applications.
Abstract
As an ultimate generalisation to several kinds of generalised entropy in the literature, a novel entropy measure, namely, Ismail’s entropy, or (IE), is presented. This article spotlights the significance of fractal dimension, through highlighting several possible applications of fractal dimension to structural engineering. In addition to several difficult open problems and the next step of inquiry, the paper ends with some concluding observations.