IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-981-16-8802-7_3.html
   My bibliography  Save this book chapter

Fractal and Fractional Calculus

In: Fractional Derivative Modeling in Mechanics and Engineering

Author

Listed:
  • 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)

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.

Suggested Citation

  • Wen Chen & HongGuang Sun & Xicheng Li, 2022. "Fractal and Fractional Calculus," Springer Books, in: Fractional Derivative Modeling in Mechanics and Engineering, chapter 0, pages 83-114, Springer.
    • Handle: RePEc:spr:sprchp:978-981-16-8802-7_3
    DOI: 10.1007/978-981-16-8802-7_3
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a
    for a similarly titled item that would be available.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:sprchp:978-981-16-8802-7_3. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.