The solvability and optimal controls for some fractional impulsive equation

Bibliographic description

punktacja MEiN [2013 A]: 35

title:	The solvability and optimal controls for some fractional impulsive equation
author:	Liu Xianghu, Liu Zhenhai, Han Jiangfeng
journal title:	Abstract and Applied Analysis
volume:	2013
date of publication :	2013
article ID:	914592
ISSN:	1085-3375
eISSN:	1687-0409
DOI:	10.1155/2013/914592
language:	English
journal language:	English
abstract in English:	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.
affiliation:	Wydział Matematyki i Informatyki
type:	journal article
subtype:	academic paper