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SUMMARY:Fractional Boundary Value Problems - Mirko D'Ovidio (Università d
 egli Studi di Roma La Sapienza)
DTSTART:20220223T120000Z
DTEND:20220223T123000Z
UID:TALK167774@talks.cam.ac.uk
DESCRIPTION:We study some functionals associated with a process driven by 
 a fractional boundary value problem (FBVP for short). By FBVP we mean a Ca
 uchy problem with a boundary condition written in terms of a fractional eq
 uation\, that is an equation involving time-fractional derivative in the s
 ense of Caputo. We focus on lifetimes and additive functionals characteriz
 ing the boundary conditions. We show that the corresponding additive funct
 ionals are related to the fractional telegraph equations. Moreover\, the f
 ractional order of the derivative gives a unified condition including the 
 elastic and the sticky cases among the others. This talk is based on the w
 ork "M. D'Ovidio. Fractional Boundary Value Problems. Fract. Calc. Appl. A
 nal.&nbsp\;Vol. 25\, No 1 (2022) ". Moreover\, we discuss some recent prog
 ress based on a joint work with Massimiliano Giona.
LOCATION:Seminar Room 1\, Newton Institute
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