Journal of Applied Mathematics, ( ISI ), Volume (2018), No (1), Year (2018-7) , Pages (1-9)

Title : ( Partial contraction analysis of coupled fractional order systems )

Authors: Ahmad Ruzitalab , Mohammad Hadi Farahi , Gholamhossien Erjaee ,

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Contraction theory regards the convergence between two arbitrary system trajectories. In this article we have introduced partial contraction theory as an extension of contraction theory to analyze coupled identical fractional order systems. It can, also, be applied to study the synchronization phenomenon in networks of various structures and with arbitrary number of systems. We have used partial contraction theory to derive exact and global results on synchronization and antisynchronization of fractional order systems


, Contraction theory, Synchronization, fractional system
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author = {Ruzitalab, Ahmad and Farahi, Mohammad Hadi and Gholamhossien Erjaee},
title = {Partial contraction analysis of coupled fractional order systems},
journal = {Journal of Applied Mathematics},
year = {2018},
volume = {2018},
number = {1},
month = {July},
issn = {1110-757x},
pages = {1--9},
numpages = {8},
keywords = {Contraction theory; Synchronization; fractional system},


%0 Journal Article
%T Partial contraction analysis of coupled fractional order systems
%A Ruzitalab, Ahmad
%A Farahi, Mohammad Hadi
%A Gholamhossien Erjaee
%J Journal of Applied Mathematics
%@ 1110-757x
%D 2018