zbMATH — the first resource for mathematics

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.

a & b logic and
a | b logic or
!ab logic not
abc* right wildcard
"ab c" phrase
(ab c) parentheses
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)
Solution for time-fractional coupled Klein-Gordon Schrödinger equation using decomposition method. (English) Zbl 1250.65125
Summary: The time-fractional coupled Klein-Gordon Schrödinger equation is obtained from the coupled Klein-Gordon Schrödinger equation by replacing the order time derivative with a fractional derivative of order $\alpha \in $(1,2], $\beta \in $(0,1]. The fractional derivative is described in the Caputo sense. In this study, a system of time-fractional coupled Klein-Gordon Schrödinger equations is considered with initial values and the solutions are presented using the Adomian decomposition method. The solutions of the equation are presented and the figures show the effectiveness and good accuracy of the proposed method.

65M99Numerical methods for IVP of PDE
35Q40PDEs in connection with quantum mechanics
35Q55NLS-like (nonlinear Schrödinger) equations
35R11Fractional partial differential equations
Full Text: Link