Second-Order Nonlinear Impulsive Integro-Differential Equations of Mixed Type and Optimal Controls in Fractional Power Spaces

Author

Peng, Y.

Source

Abstract and Applied Analysis

Issue

Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-16, 16 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2011-01-23

Country of Publication

Egypt

No. of Pages

16

Main Subjects

Mathematics

Abstract EN

A class of second-order nonlinear impulsive integro-differential equations of mixed type whose principal part is given by time-varying generating operators in fractional power spaces is considered.

We introduce the reasonable PC-α-mild solution of second-order nonlinear impulsive integro-differential equations of mixed type and prove its existence.

The existence of optimal controls for a Lagrange problem of systems governed by second-order nonlinear impulsive integro-equations of mixed type is also presented.

An example is given for demonstration.

American Psychological Association (APA)

Peng, Y.. 2011. Second-Order Nonlinear Impulsive Integro-Differential Equations of Mixed Type and Optimal Controls in Fractional Power Spaces. Abstract and Applied Analysis،Vol. 2010, no. 2010, pp.1-16.
https://search.emarefa.net/detail/BIM-455011

Modern Language Association (MLA)

Peng, Y.. Second-Order Nonlinear Impulsive Integro-Differential Equations of Mixed Type and Optimal Controls in Fractional Power Spaces. Abstract and Applied Analysis No. 2010 (2010), pp.1-16.
https://search.emarefa.net/detail/BIM-455011

American Medical Association (AMA)

Peng, Y.. Second-Order Nonlinear Impulsive Integro-Differential Equations of Mixed Type and Optimal Controls in Fractional Power Spaces. Abstract and Applied Analysis. 2011. Vol. 2010, no. 2010, pp.1-16.
https://search.emarefa.net/detail/BIM-455011

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-455011