EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR A NONLINEAR FRACTIONAL INITIAL VALUE PROBLEM INVOLVING CAPUTO DERIVATIVES

被引:19
作者
Appell, Juergen [1 ]
Lopez, Belen [2 ]
Sadarangani, Kishin [2 ]
机构
[1] Univ Wurzburg, Math Inst, Campus Hubland Nord,Emil Fischer Str 30, D-97074 Wurzburg, Germany
[2] Univ Las Palmas Gran Canaria, Dept Matemat, Campus Tafira Baja, E-35017 Las Palmas De Gc, Spain
来源
JOURNAL OF NONLINEAR AND VARIATIONAL ANALYSIS | 2018年 / 2卷 / 01期
关键词
Initial value problem; Caputo derivative; Singular integral equation; Browder fixed point theorem; Matkowski fixed point theorem;
D O I
10.23952/jnva.2.2018.1.03
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we give a sufficient condition for the existence and uniqueness interval of continuous solutions to a class of fractional initial value problems involving Caputo derivatives when the data functions satisfy a non-classical Lipschitz condition. The main tool used in the paper is a fixed point theorem for generalized contractions due to Browder-Matkowski.
引用
收藏
页码:25 / 33
页数:9
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