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SUMMARY:Analysis of fractional-order functional differential equations wit
 h multiple delays - Ismail Huseynov (Eastern Mediterranean University)
DTSTART:20220224T140000Z
DTEND:20220224T143000Z
UID:TALK167903@talks.cam.ac.uk
DESCRIPTION:In this reserach work\, we consider an initial value problem f
 or a linear matrix coefficients system of fractional-order differential eq
 uations with multiple constant delays in the sense of Caputo. First\, we d
 erive anexplicit analytical solution for linear inhomogeneous fractional m
 ulti-delay differential equations of order0 < &alpha\; < 1. The obtained r
 esults are covering the corresponding results for first-order differential
  systemswith multiple constant delays. Second\, we prove the global existe
 nce and uniqueness of the solution of anonlinear time-delay system with fr
 actional-order using the principle of contraction mapping in a weightedspa
 ce of continuous functions. We analyze finite-time stability for a class o
 f fractional-order differentialequations with multiple delays. We derive s
 ome sufficient conditions for the finite-time stability based ona multi-de
 layed perturbation of the Mittag-Leffler type matrix function by virtue of
  Gronwall&rsquo\;s integralinequality. Finally\, we demonstrate the validi
 ty of the developed technique and discuss it with numericalexamples.
LOCATION:Seminar Room 1\, Newton Institute
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