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FRACTIONAL S(P)DES

By Wilfried Grecksch, Hannelore Lisei

FRACTIONAL S(P)DES Mathematics

FRACTIONAL S(P)DES

0 - Default Title
Description
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.
Product details
Number of Pages:
286
Release Date:
2025-06-13
Publication Date:
2025-06-13
Publisher:
World Scientific
Languages:
Original: English
ISBN10:
9819802091
ISBN13:
9789819802098
GPSR Manufacturer Reference:
[email protected]
Weight:
568 g
Height:
157 cm
Width:
235 cm
Thickness:
20 cm
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