IEEE Systems, Man and Cybernetics Magazine - July 2018 - 23

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Searching
for New
Ways
to Solve
Complex
Problems

Can Cybernetics
and Fractional
Calculus
Be Partners?
by Richard Magin,
Blas Vinagre,
and Igor Podlubny

Digital Object Identifier 10.1109/MSMC.2018.2833298
Date of publication: 18 July 2018

2333-942X/18©2018IEEE

Phenomena with multiple scales in space and time require dynamic
descriptions that extend beyond the differential and partial differential
calculi into the fractional calculus, since past history and non-local
interactions determine future evolution.
-Bruce J. West, Fractional Calculus
View of Complexity: Tomorrow's Science [1]

C

ybernetics addresses complex problems in space and time,
but, surprisingly, it does not often employ fractional calculus.
Here, we trace the history of cybernetics and fractional calculus to resolve this apparent paradox. Although the term
cybernetics was first used in 1834 by the French physicist and
Ju ly 2018

IEEE SyStEmS, man, & CybErnEtICS magazInE

23



Table of Contents for the Digital Edition of IEEE Systems, Man and Cybernetics Magazine - July 2018

Contents
IEEE Systems, Man and Cybernetics Magazine - July 2018 - Cover1
IEEE Systems, Man and Cybernetics Magazine - July 2018 - Cover2
IEEE Systems, Man and Cybernetics Magazine - July 2018 - Contents
IEEE Systems, Man and Cybernetics Magazine - July 2018 - 2
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IEEE Systems, Man and Cybernetics Magazine - July 2018 - Cover3
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