Search for dissertations about: "fractional integrals"

Found 4 swedish dissertations containing the words fractional integrals.

  1. 1. Modelling Stiffness and Damping by Use of Fractional Calculus with Application to Railpads

    Author : Åsa Fenander; Chalmers University of Technology; []
    Keywords : stiffness; initial conditions; modal synthesis; time integration; measurements; fractional calculus; railway tracks; fractional integrals; damping; railpads; structural dynamics; fractional derivatives; mathematical models;

    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

  2. 2. Fractional Calculus and Linear Viscoelasticity in Structural Dynamics

    Author : Mikael Enelund; Chalmers University of Technology; []
    Keywords : linear viscoelasticity; convolution integrals; anisotropy; structural modeling; finite elements; material damping; time integration; internal variables; relaxation; fractional calculus; creep; Mittag-Leffler functions;

    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

  3. 3. Maximal theorems and Calderón-Zygmund type decompositions forthe fractional maximal function

    Author : Evgeny Kuznetsov; Luleå tekniska universitet; []

    Abstract : A very significant role in the estimation of different operators in analysis is played by the Hardy-Littlewood maximal function. There are a lot of papers dedicated to the study of properties of it, its variants, and their applications. READ MORE

  4. 4. A Non-Gaussian Limit Process with Long-Range Dependence

    Author : Raimundas Gaigalas; Ingemar Kaj; Esko Valkeila; Uppsala universitet; []
    Keywords : NATURAL SCIENCES; NATURVETENSKAP; NATURVETENSKAP; NATURAL SCIENCES; Mathematical statistics; long-range dependence; traffic modelling; arrival process; self-similarity; heavy tails; fractional Brownian motion; stable processes; renewal processes; independently scattered random measure; weak convergence; 60F17; 60G18; 90B18; 60K05 ; Matematisk statistik; Mathematical statistics; Matematisk statistik;

    Abstract : This thesis, consisting of three papers and a summary, studies topics in the theory of stochastic processes related to long-range dependence. Much recent interest in such probabilistic models has its origin in measurements of Internet traffic data, where typical characteristics of long memory have been observed. READ MORE