Hypercomplex Systems with Some Applications of White Noise Analysis

Name: Hypercomplex Systems with Some Applications of White Noise Analysis
Brand: LAP Lambert Academic Publishing
SKU: 9786202076500
Price: 311.12 RON
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Autor: M. Zakarya

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Editura: LAP Lambert Academic Publishing

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Applied functional analysis has many applications in other branches of mathematics, such as differen...

Informații despre carte

Autor

M. Zakarya

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

2017

Pagini

180

EAN

9786202076500

Enbook ID

18706584

Editura

LAP Lambert Academic Publishing

Greutate

286

Dimensiuni

150 x 220 x 11

Descriere completă

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.

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Hypercomplex Systems with Some Applications of White Noise Analysis

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