Complexity and the Fractional Calculus
Joint Authors
Pramukkul, Pensri
Svenkeson, Adam
Bologna, Mauro
Grigolini, Paolo
West, Bruce
Source
Advances in Mathematical Physics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-04-10
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
We study complex processes whose evolution in time rests on the occurrence of a large and random number of events.
The mean time interval between two consecutive critical events is infinite, thereby violating the ergodic condition and activating at the same time a stochastic central limit theorem that supports the hypothesis that the Mittag-Leffler function is a universal property of nature.
The time evolution of these complex systems is properly generated by means of fractional differential equations, thus leading to the interpretation of fractional trajectories as the average over many random trajectories each of which satisfies the stochastic central limit theorem and the condition for the Mittag-Leffler universality.
American Psychological Association (APA)
Pramukkul, Pensri& Svenkeson, Adam& Grigolini, Paolo& Bologna, Mauro& West, Bruce. 2013. Complexity and the Fractional Calculus. Advances in Mathematical Physics،Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-476535
Modern Language Association (MLA)
Pramukkul, Pensri…[et al.]. Complexity and the Fractional Calculus. Advances in Mathematical Physics No. 2013 (2013), pp.1-7.
https://search.emarefa.net/detail/BIM-476535
American Medical Association (AMA)
Pramukkul, Pensri& Svenkeson, Adam& Grigolini, Paolo& Bologna, Mauro& West, Bruce. Complexity and the Fractional Calculus. Advances in Mathematical Physics. 2013. Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-476535
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-476535