zbMATH — the first resource for mathematics

Examples
Geometry Search for the term Geometry in any field. Queries are case-independent.
Funct* Wildcard queries are specified by * (e.g. functions, functorial, etc.). Otherwise the search is exact.
"Topological group" Phrases (multi-words) should be set in "straight quotation marks".
au: Bourbaki & ti: Algebra Search for author and title. The and-operator & is default and can be omitted.
Chebyshev | Tschebyscheff The or-operator | allows to search for Chebyshev or Tschebyscheff.
"Quasi* map*" py: 1989 The resulting documents have publication year 1989.
so: Eur* J* Mat* Soc* cc: 14 Search for publications in a particular source with a Mathematics Subject Classification code (cc) in 14.
"Partial diff* eq*" ! elliptic The not-operator ! eliminates all results containing the word elliptic.
dt: b & au: Hilbert The document type is set to books; alternatively: j for journal articles, a for book articles.
py: 2000-2015 cc: (94A | 11T) Number ranges are accepted. Terms can be grouped within (parentheses).
la: chinese Find documents in a given language. ISO 639-1 language codes can also be used.

Operators
a & b logic and
a | b logic or
!ab logic not
abc* right wildcard
"ab c" phrase
(ab c) parentheses
Fields
any anywhere an internal document identifier
au author, editor ai internal author identifier
ti title la language
so source ab review, abstract
py publication year rv reviewer
cc MSC code ut uncontrolled term
dt document type (j: journal article; b: book; a: book article)
Multi-dimensional solutions of space-time-fractional diffusion equations. (English) Zbl 0999.60035
The author investigates multi-dimensional isotropic and non-isotropic diffusion processes fractional both in space and time. He gives integral representations for the Green functions and the propagators, then pays special attention to questions of uniqueness and well-posedness. Furthermore he discusses the transition to wave propagation for the case of the order of the frational time-derivative being greater than 1. In detail and on a high mathematical level the following topics are treated: Space-time fractional diffusion with central symmetry, spherically symmetric space-time fractional equations, well-posedness, unimodality of the propagator and Green’s function, moments of the propagator, wave propagation, numerical solutions. He concludes his paper with 38 valuable references.
MSC:
60G18Self-similar processes
60J60Diffusion processes
45K05Integro-partial differential equations