SOLVABILITY OF INITIAL VALUE PROBLEMS WITH FRACTIONAL ORDER DIFFERENTIAL EQUATIONS IN BANACH SPACES BY α-DENSE CURVES

被引：16

作者：

Garcia, Gonzalo ^{[1
]}

机构：

[1] Univ Nacl Educ Distancia, C Candalix S-N, Alicante 03202, Spain

来源：

FRACTIONAL CALCULUS AND APPLIED ANALYSIS | 2017年 / 20卷 / 03期

关键词：

CAUCHY-PROBLEM;

D O I：

10.1515/fca-2017-0034

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we study the existence of solutions for an initial value problem, posed in a given Banach space, with a fractional differential equation via densifiability techniques. For our goal, we will prove a new fixed point result (not based on measures of noncompactness) which is, in forms, a generalization of the well-known Darbo's fixed point theorem but essentially different. Some illustrative examples are given.

引用

页码：646 / 661

页数：16

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