Existence of Solutions for Fractional-Order Neutral Differential Inclusions with Impulsive and Nonlocal Conditions

Joint Authors

Cao, Jinde
Zhu, Tao
Song, Chao

Source

Discrete Dynamics in Nature and Society

Issue

Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-14, 14 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2012-07-03

Country of Publication

Egypt

No. of Pages

14

Main Subjects

Mathematics

Abstract EN

This paper investigates the existence of solutions for fractional-order neutral impulsive differential inclusions with nonlocal conditions.

Utilizing the fractional calculus and fixed point theorem for multivalued maps, new sufficient conditions are derived for ensuring the existence of solutions.

The obtained results improve and generalize some existed results.

Finally, an illustrative example is given to show the effectiveness of theoretical results.

American Psychological Association (APA)

Song, Chao& Zhu, Tao& Cao, Jinde. 2012. Existence of Solutions for Fractional-Order Neutral Differential Inclusions with Impulsive and Nonlocal Conditions. Discrete Dynamics in Nature and Society،Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-466071

Modern Language Association (MLA)

Song, Chao…[et al.]. Existence of Solutions for Fractional-Order Neutral Differential Inclusions with Impulsive and Nonlocal Conditions. Discrete Dynamics in Nature and Society No. 2012 (2012), pp.1-14.
https://search.emarefa.net/detail/BIM-466071

American Medical Association (AMA)

Song, Chao& Zhu, Tao& Cao, Jinde. Existence of Solutions for Fractional-Order Neutral Differential Inclusions with Impulsive and Nonlocal Conditions. Discrete Dynamics in Nature and Society. 2012. Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-466071

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-466071