Good beginner math book on fractional dynamics

Click For Summary
SUMMARY

The forum discussion centers on finding beginner-friendly textbooks for understanding dynamics through fractional calculus. Participants recommend "The Fractional Calculus" by K.B. Oldham and J. Spanier as a foundational text. Additionally, they suggest exploring a rudimentary paper titled "La derivation fractionnaire" for further insights. A Wikipedia article on fractional calculus is also highlighted as a useful introductory resource.

PREREQUISITES
  • Understanding of basic calculus concepts
  • Familiarity with dynamics and mechanics
  • Knowledge of fractional calculus principles
  • Ability to read academic papers and articles
NEXT STEPS
  • Read "The Fractional Calculus" by K.B. Oldham and J. Spanier
  • Explore the paper "La derivation fractionnaire" for foundational concepts
  • Review the Wikipedia article on fractional calculus for a broad overview
  • Investigate additional resources on fractional dynamics and its applications
USEFUL FOR

Students and educators in mathematics, physics, and engineering, particularly those interested in the applications of fractional calculus in dynamics.

nukapprentice
Messages
69
Reaction score
0
I was wondering if anyone knows any textbooks that are a good beginners guide for the dynamics (mechanics) using the fractional calculus. I have The Fractional Calculus by Oldham and Spanier but was hoping to find something more rudimentary. Thanks.
 
Physics news on Phys.org
nukapprentice said:
I was wondering if anyone knows any textbooks that are a good beginners guide for the dynamics (mechanics) using the fractional calculus. I have The Fractional Calculus by Oldham and Spanier but was hoping to find something more rudimentary. Thanks.

Hi !

On my opinion, the book of K.B.Oldham and J.Spannier is one the best to start in the field of fractionnal calculus.
There is a good introduction in Wiki :
http://en.wikipedia.org/wiki/Fractional_calculus#Fractional_derivative_of_a_basic_power_function
An even rudimentary paper : "La derivation fractionnaire" (including English translation)
http://www.scribd.com/JJacquelin/documents
 
oh, thanks for the reply. I actually have the book by Oldham and Spanier but I will try out that link for the paper you provided.
 

Similar threads

Replies
4
Views
5K
  • · Replies 9 ·
Replies
9
Views
13K
  • · Replies 3 ·
Replies
3
Views
5K
  • · Replies 12 ·
Replies
12
Views
6K
  • · Replies 5 ·
Replies
5
Views
5K
  • · Replies 5 ·
Replies
5
Views
5K
  • · Replies 5 ·
Replies
5
Views
6K
Replies
9
Views
4K
  • · Replies 14 ·
Replies
14
Views
4K
Replies
23
Views
4K