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Faculty of Sciences
Document Details
Document Type
:
Article In Journal
Document Title
:
On nonlocal fractional boundary value problems
On nonlocal fractional boundary value problems
Subject
:
Mathematics
Document Language
:
English
Abstract
:
This paper studies a new class of nonlocal boundary value problems of nonlinear differential equations of fractional order. We extend the idea of a three-point nonlocal boundary condition (x(1) = αx(η), α ε R, 0 < η < 1) to a nonlocal strip condition of the form: x(1) = η ∫vτ x(s)ds, 0 < v < τ < 1. In fact, this strip condition corresponds to a continuous distribution of the values of the unknown function on an arbitrary finite segment of the interval. In the limit v → 0, τ → 1, this strip condition takes the form of a typical integral boundary condition. Some new existence and uniqueness results are obtained for this class of nonlocal problems by using standard fixed point theorems and Leray-Schauder degree theory. Some illustrative examples are also discussed.
ISSN
:
1201-3390
Journal Name
:
Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis
Volume
:
18
Issue Number
:
4
Publishing Year
:
1432 AH
2011 AD
Article Type
:
Article
Added Date
:
Saturday, February 18, 2012
Researchers
Researcher Name (Arabic)
Researcher Name (English)
Researcher Type
Dr Grade
Email
بشير أحمد
Ahmad, Bashir
Researcher
Doctorate
bashir_qau@yahoo.com
Ravi P Agarwal
Agarwal, Ravi P
Researcher
Doctorate
agarwal@fit.edu
Files
File Name
Type
Description
32318.pdf
pdf
Abstract
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