Document Details

Document Type : Article In Journal 
Document Title :
Existence and uniqueness of solutions for coupled systems of higher-order nonlinear fractional differential equations
Existence and uniqueness of solutions for coupled systems of higher-order nonlinear fractional differential equations
 
Subject : Mathematics 
Document Language : English 
Abstract : We study an initial value problem for a coupled Caputo type nonlinear fractional differential system of higher order. As a first problem, the nonhomogeneous terms in the coupled fractional differential system depend on the fractional derivatives of lower orders only. Then the nonhomogeneous terms in the fractional differential system are allowed to depend on the unknown functions together with the fractional derivative of lower orders. Our method of analysis is based on the reduction of the given system to an equivalent system of integral equations. Applying the nonlinear alternative of Leray-Schauder, we prove the existence of solutions of the fractional differential system. The uniqueness of solutions of the fractional differential system is established by using the Banach contraction principle. An illustrative example is also presented. 
ISSN : 1687-1820 
Journal Name : Fixed Point Theory and Applications 
Volume : 2010 
Issue Number : 1 
Publishing Year : 1431 AH
2010 AD 
Article Type : Article 
Added Date : Tuesday, October 11, 2011 

Researchers

Researcher Name (Arabic)Researcher Name (English)Researcher TypeDr GradeEmail
بشير أحمدAhmad, Bashir ResearcherDoctoratebashir_qau@yahoo.com
أحمد الصاعديAlsaedi, Ahmed ResearcherDoctorateaalsaedi@hotmail.com

Files

File NameTypeDescription
 31010.pdf pdfAbstract

Back To Researches Page