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Can I read Discrete-space Time-fractional Processes on EtoBox?
Discrete-space Time-fractional Processes by Colin Atkinson; Adel Osseiran is a Mathematics article available to read on EtoBox.
What is Discrete-space Time-fractional Processes about?
A time-fractional diffusion process defined in a discrete probability setting is studied. Working in continuous time, the infinitesimal generators of random processes are discretized and the diffusion equation generalized by allowing the time derivative to be fractional, i.e. of non-integer order. The properties of the resulting distributions are studied in terms of the Mittag-Leffler function. We discuss the computation of these distribution functions by deriving new global rational approximations for the Mittag-Leffler function that account for both its initial Taylor series and asymptotic power-law tail behaviours. Furthermore, we derive integral representations for both the continuous and the discrete time-fractional distributions and use these to prove a convergence theorem.
Who reads Discrete-space Time-fractional Processes?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Colin Atkinson; Adel Osseiran
- Publisher
- Springer Science and Business Media LLC
- Published
- 2011
- Language
- EN
- Field
- Mathematics (Physical Sciences)