Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 1214.34005
Feng, Meiqiang; Zhang, Xuemei; Ge, Weigao
New existence results for higher-order nonlinear fractional differential equation with integral boundary conditions. (English)
[J] Bound. Value Probl. 2011, Article ID 720702, 20 p. (2011). ISSN 1687-2770/e

The paper is concerned with presenting some new existence theorems for positive solutions to fractional boundary value problems of fractional order greater than 3. The main tool in the analysis is a fractional Greens function. The paper is structured as follows: the problem is introduced and the Greens function is defined. The properties of the Greens function are explored and this leads to a section on existence theory for positive solutions. The authors go on to consider the existence of multiple positive solutions. In conclusion, they identify some questions that remain open.
[Neville Ford (Chester)]

MSC 2000:: *34A08
34B10 Multipoint boundary value problems
34B18 Positive solutions of nonlinear boundary value problems
34B27 Green functions

Keywords: boundary value problems; fractional differential equations; Green's function; positive solutions

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Article Journal Journal Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]