Generalized Antiperiodic Boundary Value Problems for the Fractional Differential Equation with p-Laplacian Operator

Joint Authors

Lv, Zhi-Wei
Zheng, Xu-Dong

Source

Discrete Dynamics in Nature and Society

Issue

Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-12, 12 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2013-04-15

Country of Publication

Egypt

No. of Pages

12

Main Subjects

Mathematics

Abstract EN

We discuss the existence of solutions about generalized antiperiodic boundary value problems for the fractional differential equation with p-Laplacian operator ϕp(cD0+αu(t))=f(t,u(t),u'(t)), 00, a≠1, b>0 and ϕp(s)=|s|p-2s, p>1, ϕp-1=ϕq, 1/p+1/q=1.

Our results are based on fixed point theorem and contraction mapping principle.

Furthermore, three examples are also given to illustrate the results.

American Psychological Association (APA)

Lv, Zhi-Wei& Zheng, Xu-Dong. 2013. Generalized Antiperiodic Boundary Value Problems for the Fractional Differential Equation with p-Laplacian Operator. Discrete Dynamics in Nature and Society،Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-462211

Modern Language Association (MLA)

Lv, Zhi-Wei& Zheng, Xu-Dong. Generalized Antiperiodic Boundary Value Problems for the Fractional Differential Equation with p-Laplacian Operator. Discrete Dynamics in Nature and Society No. 2013 (2013), pp.1-12.
https://search.emarefa.net/detail/BIM-462211

American Medical Association (AMA)

Lv, Zhi-Wei& Zheng, Xu-Dong. Generalized Antiperiodic Boundary Value Problems for the Fractional Differential Equation with p-Laplacian Operator. Discrete Dynamics in Nature and Society. 2013. Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-462211

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-462211