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2014 The Solvability and Optimal Controls for Some Fractional Impulsive Equations of Order 1< α<2
Xianghu Liu, Zhenhai Liu, Maojun Bin
Abstr. Appl. Anal. 2014: 1-9 (2014). DOI: 10.1155/2014/142067

Abstract

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.

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Xianghu Liu. Zhenhai Liu. Maojun Bin. "The Solvability and Optimal Controls for Some Fractional Impulsive Equations of Order 1< α<2." Abstr. Appl. Anal. 2014 1 - 9, 2014. https://doi.org/10.1155/2014/142067

Information

Published: 2014
First available in Project Euclid: 26 March 2014

MathSciNet: MR3166567
Digital Object Identifier: 10.1155/2014/142067

Rights: Copyright © 2014 Hindawi

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