Fractional Calculus :New Tools for Physics

[loveam_scmu]

The fractional dynamics has been appearing in many phenomena such as the movement of protein in the cytoplasm. The Fractional calculus used to describe it.

Xuru's Website

Introductory Notes on Fractional Calculus

http://www.xuru.org/fc/toc.asp

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http://pkbiophys.blogspot.com/

 

[axeae]

Fractional Calculus by Oldham and Spanier (I believe a mathematician and a chemist) has recently just been made a Dover, it seems like a pretty solid text. I picked it up about a year ago.

 

[tacman]

2008/08/fractional-calculus-new-tools-for.html

Fractional calculus, also known as the calculus of non-integer order, has been gaining attention in recent years as a new tool for understanding complex physical phenomena. It involves the study of derivatives and integrals of non-integer order, extending the traditional calculus of integer order to include fractional orders. This new approach has been applied to a wide range of fields, including physics, engineering, biology, and economics, and has shown promising results in improving our understanding of complex systems.

One area where fractional calculus has shown particular promise is in the study of dynamics and motion. Traditional calculus has been limited in its ability to accurately describe the movement of particles in complex systems, such as the movement of proteins in the cytoplasm. This is where fractional calculus comes in, providing a more accurate and comprehensive description of these movements.

The use of fractional calculus in physics has opened up new avenues for research and has allowed for a deeper understanding of complex physical processes. It has also been applied to problems in fluid mechanics, quantum mechanics, and even cosmology, showing its versatility and potential impact in various fields.

The website provided by Xuru offers a comprehensive introduction to fractional calculus, providing a solid foundation for those interested in delving into this new field. It covers topics such as fractional derivatives and integrals, fractional differential equations, and applications in various fields. This resource is a great starting point for anyone looking to explore the potential of fractional calculus in physics and other fields.

In conclusion, fractional calculus is a powerful new tool that has the potential to revolutionize our understanding of complex physical phenomena. Its applications in various fields, including physics, make it an exciting and promising area of study. With resources like Xuru's website, it is now easier than ever to learn about this emerging field and incorporate it into our understanding of the world around us.