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 TypeDr GradeEmail
بشير أحمدAhmad, Bashir ResearcherDoctoratebashir_qau@yahoo.com
P EloeEloe, P ResearcherDoctoratePaul.Eloe@notes.udayton.edu

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