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Document Details
Document Type
:
Article In Journal
Document Title
:
New existence results for nonlinear fractional differential equations with three-point integral boundary conditions
New existence results for nonlinear fractional differential equations with three-point integral boundary conditions
Subject
:
Mathematics
Document Language
:
English
Abstract
:
This paper studies a boundary value problem of nonlinear fractional differential equations of order q ∈ (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.
ISSN
:
1687-1839
Journal Name
:
Advances in Difference Equations
Volume
:
2011
Issue Number
:
1
Publishing Year
:
1432 AH
2011 AD
Article Type
:
Article
Added Date
:
Wednesday, February 15, 2012
Researchers
Researcher Name (Arabic)
Researcher Name (English)
Researcher Type
Dr Grade
Email
بشير أحمد
Ahmad, Bashir
Researcher
Doctorate
bashir_qau@yahoo.com
SotirisK K Ntouyas
Ntouyas, SotirisK K
Researcher
Doctorate
sntouyas@uoi.gr
أحمد الصاعدي
Alsaedi, Ahmed
Researcher
Doctorate
aalsaedi@hotmail.com
Files
File Name
Type
Description
32289.pdf
pdf
Abstract
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