Fractional Differential Equations

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SUMMARY

The discussion centers on the search for resources related to Fractional Differential Equations (FDEs) and their connection to Tsallis's Non-Extensive entropy. Participants recommend websites such as Fracalmo.org and arXiv.org for further exploration. However, users express challenges in accessing relevant papers, particularly those that generalize the relationship between FDEs and Tsallis's statistics. The need for comprehensive resources that correlate these two topics is emphasized.

PREREQUISITES
  • Understanding of Fractional Differential Equations (FDEs)
  • Familiarity with Tsallis's Non-Extensive entropy
  • Basic knowledge of statistical mechanics
  • Experience with academic research databases
NEXT STEPS
  • Explore resources on Fractional Differential Equations from Fracalmo.org
  • Investigate Tsallis's Non-Extensive statistics through arXiv.org
  • Research generalized approaches to FDEs in academic journals
  • Study the applications of Tsallis's entropy in various scientific fields
USEFUL FOR

Researchers, mathematicians, and physicists interested in advanced statistical mechanics and the applications of Fractional Differential Equations in understanding complex systems.

polyb
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Hello all!
I was wondering if anyone knew of any good internet leads(besides mathworld, which does not have that much) on the topic of Fractional Differential Equations. I am wanting to investigate Tsallis's Non-Extensive entropy and from what I have come to understand he came to his generalized statistics through fractional DEs. Actually I would prefer something would correlate the two.

If you have any ideas please pass them along! Thanks in advance!
polyb
 
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Thanks benorin!

falcalmo.org seems like it might provide some good links. I have had some trouble with the arxivs lately, seems either the server is not responding and/or it seems that Tsallis's papers have been reduced. That or I am not doing something right! Plus most of the papers I found under the search criterea for Fractional DEs seems to be more specified to particular problems and not the generalized approach I have been seeking, specifically how it relates to Tsallis's generalized statistics. Oh well, keep trying!

Once again, thanks!
 
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