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Document Details
Document Type
:
Article In Journal
Document Title
:
A nonlocal boundary value problem for a nonlinear fractional differential equation with two indices
A nonlocal boundary value problem for a nonlinear fractional differential equation with two indices
Subject
:
Mathematics
Document Language
:
English
Abstract
:
This paper is devoted to a study of a nonlocal boundary value problem for a nonlinear differential equation depending on two fractional orders α, β ⋯ (1,2]. The problem is inverted and an equivalent integral equation is constructed; as applications, the contraction mapping principle and a Krasnosel'skii fixed point theorem are applied to obtain sufficient conditions for the existence of solutions. An example illustrates the results. In the case that α = β = 2, results for fourth order ordinary differential equations are obtained.
ISSN
:
1074-133X
Journal Name
:
Communications on Applied Nonlinear Analysis
Volume
:
17
Issue Number
:
3
Publishing Year
:
1431 AH
2010 AD
Article Type
:
Article
Added Date
:
Sunday, November 13, 2011
Researchers
Researcher Name (Arabic)
Researcher Name (English)
Researcher Type
Dr Grade
Email
بشير أحمد
Ahmad, Bashir
Researcher
Doctorate
bashir_qau@yahoo.com
P Eloe
Eloe, P
Researcher
Doctorate
Paul.Eloe@notes.udayton.edu
Files
File Name
Type
Description
31234.pdf
pdf
Abstract
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