The Solvability and Optimal Controls for Some Fractional Impulsive Equation

The Solvability and Optimal Controls for Some Fractional Impulsive Equation

This paper is concerned with the existence and uniqueness of mild solution of some fractional impulsive equations. Firstly, we introduce the fractional calculus, Gronwall inequality, and Leray-Schauder’s fixed point theorem. Secondly with the help of them, the sufficient condition for the existence...

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Veröffentlicht in:Abstract and Applied Analysis 2013-01, Vol.2013 (2013), p.657-665-1260
Hauptverfasser: Liu, Xianghu, Liu, Zhenhai, Han, Jiangfeng
Format: Artikel
Sprache:eng
Schlagworte:
Existence theorems
Fixed point theory
Inequalities (Mathematics)
Mathematical research
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Zusammenfassung:This paper is concerned with the existence and uniqueness of mild solution of some fractional impulsive equations. Firstly, we introduce the fractional calculus, Gronwall inequality, and Leray-Schauder’s fixed point theorem. Secondly with the help of them, the sufficient condition for the existence and uniqueness of solutions is presented. Finally we give an example to illustrate our main results.
ISSN:1085-3375
1687-0409
DOI:10.1155/2013/914592