Preprint No.
A-98-07
R. Gorenflo, F. Mainardi
Signalling Problem and Dirichlet-Neumann map for time-fractional diffusion-wave equations
Abstract: The time-fractional, spatially one-dimensional, diffusion-wave
equation is considered. For the Dirichlet and the Neumann condition
prescribed on the boundary of the spatial positive half-line and
zero-initial condition at the origin of time the solutions are derived via
the method of Laplace transforms, and it is shown that the
Dirichlet-Neumann map is given by a time-fractional differential
operator whose order is (in analogy to the cases of the classical diffusion
and wave equation) half the order of the time-fractional derivative.
Mathematics Subject Classification (MSC91): 26A33 Fractional derivatives and integrals
, 45K05 Integro-partial differential equations
Language: ENG
Available: Pr-A-98-07.ps
Contact: Gorenflo, R.; Freie Universität Berlin, Fachbereich Mathematik und Informatik, Arnimallee 2-6, D-14195 Berlin, Germany (gorenflo@math.fu-berlin.de)
[Home Page] - [Up] - [Search] - [Help] - Created: 19980525 -