The Solvability and Optimal Controls for Some Fractional Impulsive Equations of Order 1< α<2

Joint Authors

Bin, Maojun
Liu, Xianghu
Liu, Zhenhai

Source

Abstract and Applied Analysis

Issue

Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-9, 9 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2014-01-28

Country of Publication

Egypt

No. of Pages

9

Main Subjects

Mathematics

Abstract EN

We study the existence of solutions and optimal controls for some fractional impulsive equations of order 1< α<2.

By means of Gronwall’s inequality and Leray-Schauder’s fixed point theorem, the sufficient condition for the existence of solutions and optimal controls is presented.

Finally, an example is given to illustrate our main results.

American Psychological Association (APA)

Liu, Xianghu& Liu, Zhenhai& Bin, Maojun. 2014. The Solvability and Optimal Controls for Some Fractional Impulsive Equations of Order 1< α<2. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-1033549

Modern Language Association (MLA)

Liu, Xianghu…[et al.]. The Solvability and Optimal Controls for Some Fractional Impulsive Equations of Order 1< α<2. Abstract and Applied Analysis No. 2014 (2014), pp.1-9.
https://search.emarefa.net/detail/BIM-1033549

American Medical Association (AMA)

Liu, Xianghu& Liu, Zhenhai& Bin, Maojun. The Solvability and Optimal Controls for Some Fractional Impulsive Equations of Order 1< α<2. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-1033549

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1033549