Search for dissertations about: "Fractional calculus"
Found 5 swedish dissertations containing the words Fractional calculus.
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1. Some Extensions of Fractional Ornstein-Uhlenbeck Model Arbitrage and Other Applications
University dissertation from Stockholm : Department of Statistics, Stockholm UniversityAbstract : This doctoral thesis endeavors to extend probability and statistical models using stochastic differential equations. The described models capture essential features from data that are not explained by classical diffusion models driven by Brownian motion.New results obtained by the author are presented in five articles. READ MORE
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2. The Finite Element Method for Fractional Order Viscoelasticity and the Stochastic Wave Equation
University dissertation from Göteborg : Chalmers University of Technology and University of GothenburgAbstract : This thesis can be considered as two parts. In the first part a hyperbolic type integro-differential equation with weakly singular kernel is considered, which is a model for dynamic fractional order viscoelasticity. In the second part, the finite element approximation of the linear stochastic wave equation is studied. READ MORE
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3. Dynamic analyses of structures with applied rubber
University dissertation from Göteborg : Chalmers University of Technology and University of GothenburgAbstract : The aim with the present thesis has been to develop efficient, practical and accuratemethods in order to model rubber in dynamic analyses, with emphasis on passive constrainedlayer damping materials. A fractional order viscoelastic constitutive model ismapped onto experimental data from a measurement standard using a vibrating beamtechnique. READ MORE
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4. Parabolic equations with low regularity
University dissertation from Department of Mathematics, Lund UniversityAbstract : Popular Abstract in Swedish Avhandlingen innehåller en ny metod att behandla ekvationer av den typ som styr t.ex. värmeledning och diffusion. Användning av ''halva derivator'' i tidsled möjliggör ett angreppssätt mycket likt den välkända Dirichlets princip inom elektrostatiken. READ MORE
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5. Abelian Extensions, Fractional Loop Group and Quantum Fields
University dissertation from Stockholm : KTHAbstract : This thesis deals with the theory of Lie group extensions, Lie conformal algebras and twisted K-theory, in the context of quantum physics. These structures allow for a mathematically precise description of certain aspects of interacting quantum field theories. READ MORE
