Fractional time evolution (Q2773686)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Fractional time evolution |
scientific article; zbMATH DE number 1710307
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Fractional time evolution |
scientific article; zbMATH DE number 1710307 |
Statements
24 February 2002
0 references
evolution inclusions
0 references
coarse graining
0 references
stable averages
0 references
fractional relaxation
0 references
fractional diffusion and \(H\)-function
0 references
Mittag-Leffler functions
0 references
Fractional time evolution (English)
0 references
The author discusses the terms semigroup, continuity, homogeneity, casuality and coarse graining in order to define time evolution. The main interest of this article lies in fractional evolution equations and their emergence from coarse graining. Explicit solutions to generalized fractional relaxation equations are obtained in terms of Mittag-Leffler functions by the application of Laplace transform. Similarly, generalized fractional relaxation equations are solved in terms of Fox's \(H\)-function by the application of Fourier-Laplace transforms. At the end of the article, some basic properties of Fox's \(H\)-function are given in the Appendix.NEWLINENEWLINEFor the entire collection see [Zbl 0998.26002].
0 references
