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DTSTART:19700329T010000
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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Adapting the Fokas transform method to solve certa
in fractional PDEs - Arran Fernandez (Eastern Medi
terranean University)
DTSTART;TZID=Europe/London:20220615T130000
DTEND;TZID=Europe/London:20220615T140000
UID:TALK172739AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/172739
DESCRIPTION:The Fokas method\, or unified transform method\, w
as developed in the late 1990s as a powerful metho
d to solve PDEs by combining transforms with respe
ct to both space and time\, in a process which is
sometimes called synthesis rather than separation
of variables. It relies heavily on ideas from comp
lex analysis\, making use of Cauchy's theorem and
Jordan's lemma to deform complex contours through
regions of exponential decay. When we allow the de
rivatives in the PDE to be of non-integer orders\,
a very different problem is obtained: arguments b
ased on polynomials no longer apply\, and branch c
uts in the complex plane must be taken into accoun
t. I will speak about one type of such fractional
PDE\, linear in 1+1 dimensions and set on the half
-line\, and examine how the Fokas method can be ad
apted to solve it. Joint work with D. Baleanu and
A. S. Fokas.
LOCATION:Seminar Room 2\, Newton Institute
CONTACT:
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