The Existence and Uniqueness of a Class of Fractional Differential Equations
Joint Authors
Sun, Sujing
Chen, YangQuan
Bai, Zhanbing
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-06-17
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
By using inequalities, fixed point theorems, and lower and upper solution method, the existence and uniqueness of a class of fractional initial value problems, D0+qx(t)=f(t,x(t), D0+q-1x(t)), t∈(0,T), x(0)=0, D0+q-1x(0)=x0, are discussed, where f∈C([0,T]×R2,R),D0+qx(t) is the standard Riemann-Liouville fractional derivative, 1 Some mistakes in the literature are pointed out and some new inequalities and existence and uniqueness results are obtained.
American Psychological Association (APA)
Bai, Zhanbing& Sun, Sujing& Chen, YangQuan. 2014. The Existence and Uniqueness of a Class of Fractional Differential Equations. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-6.
https://search.emarefa.net/detail/BIM-1033792
Modern Language Association (MLA)
Bai, Zhanbing…[et al.]. The Existence and Uniqueness of a Class of Fractional Differential Equations. Abstract and Applied Analysis No. 2014 (2014), pp.1-6.
https://search.emarefa.net/detail/BIM-1033792
American Medical Association (AMA)
Bai, Zhanbing& Sun, Sujing& Chen, YangQuan. The Existence and Uniqueness of a Class of Fractional Differential Equations. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-6.
https://search.emarefa.net/detail/BIM-1033792
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1033792