Sökning: "fractional integrals"
Hittade 4 avhandlingar innehållade orden fractional integrals.
1. Modelling Stiffness and Damping by Use of Fractional Calculus with Application to Railpads
Sammanfattning : 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. LÄS MER
2. Fractional Calculus and Linear Viscoelasticity in Structural Dynamics
Sammanfattning : The use of linear viscoelasticity together with fractional calculus in time-domain structural modeling is studied. Both constitutive and structural aspects are investigated. LÄS MER
3. Maximal theorems and Calderón-Zygmund type decompositions forthe fractional maximal function
Sammanfattning : 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. LÄS MER
4. A Non-Gaussian Limit Process with Long-Range Dependence
Sammanfattning : 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. LÄS MER