Search for dissertations about: "fractional calculus"
Showing result 1 - 5 of 8 swedish dissertations containing the words fractional calculus.
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1. Modelling Stiffness and Damping by Use of Fractional Calculus with Application to Railpads
Abstract : When studying the dynamic behaviour of a structure, e g a railway track, it is important for the analyst to model both stiffness and damping accurately. Mathematical models including fractional derivatives have been found to work well for many materials. Such models are linear and causal. READ MORE
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2. Fractional Calculus and Linear Viscoelasticity in Structural Dynamics
Abstract : The use of linear viscoelasticity together with fractional calculus in time-domain structural modeling is studied. Both constitutive and structural aspects are investigated. READ MORE
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3. Some Extensions of Fractional Ornstein-Uhlenbeck Model : Arbitrage and Other Applications
Abstract : 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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4. The Finite Element Method for Fractional Order Viscoelasticity and the Stochastic Wave Equation
Abstract : 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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5. Models and numerical procedures for fractional order viscoelasticity
Abstract : .... READ MORE