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 TypeDr GradeEmail
بشير أحمدAhmad, Bashir ResearcherDoctoratebashir_qau@yahoo.com
SotirisK K NtouyasNtouyas, SotirisK KResearcherDoctoratesntouyas@uoi.gr
أحمد الصاعديAlsaedi, Ahmed ResearcherDoctorateaalsaedi@hotmail.com

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