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SUMMARY:Adapting the Fokas transform method to solve certain fractional PD
 Es - Arran Fernandez (Eastern Mediterranean University)
DTSTART:20220615T120000Z
DTEND:20220615T130000Z
UID:TALK172733@talks.cam.ac.uk
DESCRIPTION:The Fokas method\, or unified transform method\, was developed
  in the late 1990s as a powerful method to solve PDEs by combining transfo
 rms with respect to both space and time\, in a process which is sometimes 
 called synthesis rather than separation of variables. It relies heavily on
  ideas from complex analysis\, making use of Cauchy's theorem and Jordan's
  lemma to deform complex contours through regions of exponential decay. Wh
 en we allow the derivatives in the PDE to be of non-integer orders\, a ver
 y different problem is obtained: arguments based on polynomials no longer 
 apply\, and branch cuts in the complex plane must be taken into account. I
  will speak about one type of such fractional PDE\, linear in 1+1 dimensio
 ns and set on the half-line\, and examine how the Fokas method can be adap
 ted to solve it. Joint work with D. Baleanu and A. S. Fokas.
LOCATION:Seminar Room 2\, Newton Institute
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