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PRODID:-//Khalifa University - ECPv4.9.13//NONSGML v1.0//EN
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X-WR-CALNAME:Khalifa University
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X-WR-CALDESC:Events for Khalifa University
BEGIN:VTIMEZONE
TZID:Asia/Dubai
BEGIN:STANDARD
TZOFFSETFROM:+0400
TZOFFSETTO:+0400
TZNAME:+04
DTSTART:20210101T000000
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BEGIN:VEVENT
DTSTART;TZID=Asia/Dubai:20210325T140000
DTEND;TZID=Asia/Dubai:20210325T150000
DTSTAMP:20260527T174856
CREATED:20210315T070819Z
LAST-MODIFIED:20210315T070819Z
UID:50955-1616680800-1616684400@www.ku.ac.ae
SUMMARY:Interpolating a Heat Conduction Problem and a Viscoelastic Problem
DESCRIPTION:In this talk\, we consider a generalization of the well-known telegraph problem to the fractional case in presence of a viscoelastic term. We first discuss the well-posedness of the system using a family of resolvent operators. Next\, the stability of the system is addressed. Some light is shed on the roles of lower-order fractional derivatives as well as viscoelastic terms. It will be shown that only one of these two types of terms is enough to drive the system to equilibrium. The rate of stability is determined to be of Mittag-Leffler kind. Some smallness conditions on the relaxation function are needed in case of viscoelasticity. The results rely heavily on some proved properties of fractional derivatives and some newly introduced functionals. The main difficulties\, due to the invalidity of some well-known properties in the integer-order case\, will be highlighted. \n
URL:/event/interpolating-a-heat-conduction-problem-and-a-viscoelastic-problem
LOCATION:Virtual
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