Hypercomplex Systems with Some Applications of White Noise Analysis

Language: English

Published by LAP LAMBERT Academic Publishing Nov 2017, 2017

620207650X / 9786202076500

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This item is printed on demand - Print on Demand Titel. Neuware -Applied functional analysis has many applications in other branches of mathematics, such as differential equations, numerical analysis, stochastic calculus, calculus of variations, quantum field theory, etc. Among of these applications, we interest in stochastic differential equations (SDEs). There were many authors studied this subject. Recently, Okb El Bab, Zabel, Bin Dehaish, Ghany, Hyder and Zakarya studied some important subjects related to the connection between the Harmonic analysis in hypercomplex systems (HCSs) and Gaussian calculu. So the main objective of this thesis is to use a round applied functional analysis. We gave a constructions of non-Gaussian white noise analysis (WNA) using the theory of HCSs. We introduced an elements of non-Gaussian Wick calculus based on HCSs. We applied this construction to find non-Gaussian white noise functional solutions (WNFSs) of stochastic partial differential equations (SPDEs). The KdV equation is one of the essential nonlinear equations in mathematical physics. So, we can get non-Gaussian (WNFSs) of stochastic KdV and coupled KdV equations.VDM Verlag, Dudweiler Landstraße 99, 66123 Saarbrücken 180 pp. Englisch.

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Title
Hypercomplex Systems with Some Applications of White Noise Analysis
Author
M. Zakarya
Publisher
LAP LAMBERT Academic Publishing Nov 2017
Publication year
2017
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
620207650X
ISBN 13
9786202076500
Item weight
286 grams
Dimensions
220x150x12 mm

buchversandmimpf2000

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