Application of measure of noncompactness to a Cauchy problem for fractional differential equations in Banach spaces

被引：56
|
作者：
Aghajani, Asadollah [1 ]
Pourhadi, Ehsan [1 ]
Trujillo, Juan J. [2 ]
机构：
[1] Iran Univ Sci & Technol, Sch Math, Tehran 1684613114, Iran
[2] Univ La Laguna, Dept Anal Matemat, Tenerife 38271, Spain
来源：
FRACTIONAL CALCULUS AND APPLIED ANALYSIS | 2013年 / 16卷 / 04期
关键词：
fixed point; measure of noncompactness; fractional differential equation; BOUNDARY-VALUE-PROBLEMS; EXISTENCE; CALCULUS;
D O I：
10.2478/s13540-013-0059-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is devoted to study the existence of solutions of a Cauchy type problem for a nonlinear fractional differential equation, via the techniques of measure of noncompactness. The investigation is based on a new fixed point result which is a generalization of the well known Darbo's fixed point theorem. The main result is less restrictive than those given in the literature. Some illustrative examples are given.
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页码：962 / 977
页数：16
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