Unique Solution of a Coupled Fractional Differential System Involving Integral Boundary Conditions from Economic Model
Joint Authors
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-08-13
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
We study the existence and uniqueness of the positive solution for the fractional differential system involving the Riemann-Stieltjes integral boundary conditions -Dtαx(t)=f(t,y(t)), - Dtβy(t)=g(t,x(t)), t∈(0,1), x(0)=y(0)=0, x(1)=∫01x(s)dA(s), and y(1)=∫01y(s)dB(s), where 1<α, β≤2, and Dtα and Dtβ are the standard Riemann-Liouville derivatives, A and B are functions of bounded variation, and ∫01Dtβx(s)dA(s) and ∫01Dtβy(s)dB(s) denote the Riemann-Stieltjes integral.
Our results are based on a generalized fixed point theorem for weakly contractive mappings in partially ordered sets.
American Psychological Association (APA)
Li, Rui& Zhang, Haoqian& Tao, Hao. 2013. Unique Solution of a Coupled Fractional Differential System Involving Integral Boundary Conditions from Economic Model. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-485340
Modern Language Association (MLA)
Li, Rui…[et al.]. Unique Solution of a Coupled Fractional Differential System Involving Integral Boundary Conditions from Economic Model. Abstract and Applied Analysis No. 2013 (2013), pp.1-6.
https://search.emarefa.net/detail/BIM-485340
American Medical Association (AMA)
Li, Rui& Zhang, Haoqian& Tao, Hao. Unique Solution of a Coupled Fractional Differential System Involving Integral Boundary Conditions from Economic Model. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-485340
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-485340