Free Download Fractional S(P)DEs: Theory, Numerics, And Optimal Control
English | 2025 | ISBN: 9819802091 | 286 Pages |
PDF (True) | 12 MB
Recent breakthroughs in volatility
modelling have brought fractional stochastic
calculus to a groundbreaking position. Readers of Fractional S(P)DEs will find a unique and
comprehensive overview encompassing the theory and the numerics of both ordinary and partial differential equations (SDEs and SPDEs, respectively), driven by fractional Brownian motion.Within this book, both differential equations are considered with fractional noise, while also considering fractional derivatives in the case of SPDEs. Three primary
aspects are pursued: Theory and numerics for
rough SPDEs; Optimal control of both SDEs and SPDEs driven by fractional Brownian motions (and their applications); And numerics for time-fractional SPDEs driven by both Gaussian and non-Gaussian noises.This series of complementary articles, compiled by two internationally renowned scientists, is united by a common application-oriented view of fractional Brownian motion and its stochastic calculus. As such, this book will be particularly useful for mathematicians working in the fields of stochastics applied in
Finance and Natural Sciences, as well as those preparing courses on advanced stochastic
processes.
