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)
Some aspects of fractional diffusion equations of single and distributed order. (English) Zbl 1122.26004
The paper deals with certain aspects of fractional diffusion equations of single and distributed order less than 1. The authors have stressed the importance of Fourier, Laplace and Mellin transforms and of functions of Mittag-Leffler and Wright in their study. First, they apply in either succession the Fourier transform in space and Laplace transform in time to the Cauchy problem. Next, they invert both the transforms by applying two strategies both leading to the same power series in the spatial variable with time-dependent coefficients. At the end, the authors provide an Appendix devoted to the notations used for two fractional derivatives used in the paper. This interesting paper also contains an extensive list of 40 references.
MSC:
26A33Fractional derivatives and integrals (real functions)
45K05Integro-partial differential equations
60G18Self-similar processes
60J60Diffusion processes