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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Operational calculus for the Riemann--Liouville fr
actional derivative with respect to a function and
its applications - Hafiz Muhammad Fahad (Eastern
Mediterranean University)
DTSTART;TZID=Europe/London:20220225T110000
DTEND;TZID=Europe/London:20220225T113000
UID:TALK167846AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/167846
DESCRIPTION:Mikusiński's operational calculus is a formalism f
or understanding integral and derivative operators
and solving differential equations\, which has be
en applied to several types of fractional-calculus
operators by Y. Luchko and collaborators. In this
talk\, we consider the operators of Riemann--Liou
ville fractional differentiation of a function wit
h respect to another function\, and discover that
the approach of Luchko can be followed\, with smal
l modifications\, in this more general setting too
. The Mikusiński's operational calculus approach i
s used to obtain exact solutions of fractional dif
ferential equations with constant coefficients and
with this type of fractional derivatives. These s
olutions can be expressed in terms of Mittag-Leffl
er type functions.\nJoint work with: Arran Fernand
ez (Eastern Mediterranean University\, Northern Cy
prus\, Turkey)
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:
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