Existence and Uniqueness of Solutions for Initial Value Problem of Nonlinear Fractional Differential Equations
Joint Authors
Han, Zhen-Lai
Li, Qiuping
Sun, Shurong
Zhao, Ping
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-07-08
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
We discuss the initial value problem for the nonlinear fractional differential equation L(D)u=f(t,u), t∈(0,1], u(0)=0, where L(D)=Dsn-an-1Dsn-1-⋯-a1Ds1, 0 We extend the basic theory of differential equation, the method of upper and lower solutions, and monotone iterative technique to the initial value problem. Some existence and uniqueness results are established.
American Psychological Association (APA)
Li, Qiuping& Sun, Shurong& Zhao, Ping& Han, Zhen-Lai. 2012. Existence and Uniqueness of Solutions for Initial Value Problem of Nonlinear Fractional Differential Equations. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-485314
Modern Language Association (MLA)
Li, Qiuping…[et al.]. Existence and Uniqueness of Solutions for Initial Value Problem of Nonlinear Fractional Differential Equations. Abstract and Applied Analysis No. 2012 (2012), pp.1-14.
https://search.emarefa.net/detail/BIM-485314
American Medical Association (AMA)
Li, Qiuping& Sun, Shurong& Zhao, Ping& Han, Zhen-Lai. Existence and Uniqueness of Solutions for Initial Value Problem of Nonlinear Fractional Differential Equations. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-485314
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-485314
