Fractal and Fractional Calculus

Wen Chen, HongGuang Sun and Xicheng Li
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Wen Chen: Hohai University, College of Mechanics and Materials
HongGuang Sun: Hohai University, College of Mechanics and Materials
Xicheng Li: University of Jinan, School of Mathematical Sciences

Chapter Chapter 3 in Fractional Derivative Modeling in Mechanics and Engineering, 2022, pp 83-114 from Springer

Abstract: Abstract It has been 2000 years since the third century BC, when Euclidean geometry was established by Euclid. This system has been considered as a definite, clear and logical geometrical system in people’s minds. However, after the beginning of the twentieth century, with the continuous improvement of people’s cognition and the development of mathematics, especially that a lot of new theories, new technologies and new areas of research are emerging, it is difficult to apply Euclidean geometry to describe the complex objects, such as fluctuating alpine landforms, the complex plant morphology and rough fracture surface. The limitation of Euclidean geometry prompted people to find a better tool or system for the description of the geometry.

Date: 2022
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DOI: 10.1007/978-981-16-8802-7_3

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