The Existence and Uniqueness of a Class of Fractional Differential Equations

Joint Authors

Sun, Sujing
Chen, YangQuan
Bai, Zhanbing

Source

Abstract and Applied Analysis

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

Mathematics

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