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)
Approximate solutions of fractional nonlinear equations using homotopy perturbation transformation method. (English) Zbl 1242.65136
Summary: A homotopy perturbation transformation method which is based on homotopy perturbation method and Laplace transform is first applied to solve the approximate solution of fractional nonlinear equations. The nonlinear terms can be easily handled by the use of He’s polynomials. Illustrative examples are included to demonstrate the high accuracy and fast convergence of this new algorithm.
65L05Initial value problems for ODE (numerical methods)
65L99Numerical methods for ODE
34A08Fractional differential equations
44A10Laplace transform
34A34Nonlinear ODE and systems, general
34A25Analytical theory of ODE (series, transformations, transforms, operational calculus, etc.)