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Document Details
Document Type
:
Article In Journal
Document Title
:
A four-point nonlocal integral boundary value problem for fractional differential equations of arbitrary order
A four-point nonlocal integral boundary value problem for fractional differential equations of arbitrary order
Subject
:
Mathematics
Document Language
:
English
Abstract
:
This paper studies a nonlinear fractional differential equation of an arbitrary order with four-point nonlocal integral boundary conditions. Some existence results are obtained by applying standard fixed point theorems and Leray-Schauder degree theory. The involvement of nonlocal parameters in four-point integral boundary conditions of the problem makes the present work distinguished from the available literature on four-point integral boundary value problems which mainly deals with the four-point boundary conditions restrictions on the solution or gradient of the solution of the problem. These integral conditions may be regarded as strip conditions involving segments of arbitrary length of the given interval. Some illustrative examples are presented.
ISSN
:
1417-3875
Journal Name
:
Electronic Journal of Qualitative Theory of Differential Equations
Volume
:
2011
Issue Number
:
1
Publishing Year
:
1432 AH
2011 AD
Article Type
:
Article
Added Date
:
Sunday, February 19, 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
Files
File Name
Type
Description
32347.pdf
pdf
Abstract
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