Language:   Search:   Contact
Zentralblatt MATH has released its new interface!
For an improved author identification, see the new author database of ZBMATH.

Query:
Fill in the form and click »Search«...
Format:
Display: entries per page entries
Zbl 1204.34005
Ahmad, Bashir; Ntouyas, Sotiris K.; Alsaedi, Ahmed
New existence results for nonlinear fractional differential equations with three-point integral boundary conditions.
(English)
[J] Adv. Difference Equ. 2011, Article ID 107384, 11 p. (2011). ISSN 1687-1847/e

Summary: This paper studies a boundary value problem of nonlinear fractional differential equations of order $q \in (1,2]$ with three-point integral boundary conditions. Some new existence and uniqueness results are obtained by using standard fixed point theorems and Leray-Schauder degree theory. Our results are new in the sense that the nonlocal parameter in three-point integral boundary conditions appears in the integral part of the conditions in contrast to the available literature on three-point boundary value problems which deals with the three-point boundary conditions restrictions on the solution or gradient of the solution of the problem. Some illustrative examples are also discussed.
MSC 2000:
*34A08

Highlights
Master Server