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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Analysis of fractional-order functional differenti
al equations with multiple delays - Ismail Huseyno
v (Eastern Mediterranean University)
DTSTART;TZID=Europe/London:20220224T140000
DTEND;TZID=Europe/London:20220224T143000
UID:TALK167903AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/167903
DESCRIPTION:In this reserach work\, we consider an initial val
ue problem for a linear matrix coefficients system
of fractional-order differential equations with m
ultiple constant delays in the sense of Caputo. Fi
rst\, we derive anexplicit analytical solution for
linear inhomogeneous fractional multi-delay diffe
rential equations of order0 < &alpha\; < 1. The ob
tained results are covering the corresponding resu
lts for first-order differential systemswith multi
ple constant delays. Second\, we prove the global
existence and uniqueness of the solution of anonli
near time-delay system with fractional-order using
the principle of contraction mapping in a weighte
dspace of continuous functions. We analyze finite-
time stability for a class of fractional-order dif
ferentialequations with multiple delays. We derive
some sufficient conditions for the finite-time st
ability based ona multi-delayed perturbation of th
e Mittag-Leffler type matrix function by virtue of
Gronwall&rsquo\;s integralinequality. Finally\, w
e demonstrate the validity of the developed techni
que and discuss it with numericalexamples.
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:
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