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

被引：62

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.

引用

页码：962 / 977

页数：16

共 38 条

[1] Some generalizations of Darbo fixed point theorem and applications [J].