Search for dissertations about: "Fractional operators"
Showing result 1 - 5 of 16 swedish dissertations containing the words Fractional operators.
-
1. 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
-
2. New weighted inequalities with applications to pseudodifferential operators
Abstract : This thesis is devoted to weighted integral inequalities and their applications to the study of boundary behavior of solutions to Dirichlet's problem for fractional powers of the Laplacian.We obtain a necessary and sufficient condition on μ for the operator (—Δ)μin R 0 , 0 ... READ MORE
-
3. Numerical Approximation of Solutions to Stochastic Partial Differential Equations and Their Moments
Abstract : The first part of this thesis focusses on the numerical approximation of the first two moments of solutions to parabolic stochastic partial differential equations (SPDEs) with additive or multiplicative noise. More precisely, in Paper I an earlier result (A. Lang, S. Larsson, and Ch. READ MORE
-
4. Selected Topics in Mathematical Modelling: Machine Learning and Tugs-of-War
Abstract : This thesis concerns selected topics in mathematical modelling, namely in machine learning and stochastic games called tugs-of-war. It consists of four scientific articles. The first and second are about machine learning topics, while the third and fourth articles are about tug-of-war games. READ MORE
-
5. Fractional moving blood volume in fetal organs estimated using power Doppler ultrasound
Abstract : Power Doppler ultrasound (PDU) is a sensitive technique to detect slow blood movement. The aim of the present study was to develop a standardized method for quantification of the PDU signals recorded from a specific region of interest (ROI) within fetal organs. READ MORE