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Relative controllability in fractional differential equations with pure delay
Author(s) -
Li Mengmeng,
Debbouche Amar,
Wang JinRong
Publication year - 2018
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.4651
Subject(s) - controllability , mathematics , type (biology) , rank (graph theory) , differential equation , matrix (chemical analysis) , mathematical analysis , combinatorics , ecology , materials science , composite material , biology
In this paper, we study relative controllability of fractional differential equations with pure delay. Delayed Gram‐type matrix criterion and rank criterion for relative controllability are established with the help of the explicit solution formula. An example is given to illustrate our theoretical results.