Initial value problem for a fractional neutral differential equation with infinite delay

被引：1

作者：

Abdo, Mohammed S. ^{[1
,2
]}

Panchal, Satish K. ^{[1
]}

机构：

[1] Dr Babasaheb Ambedkar Marathwada Univ, Dept Math, Aurangabad 431004, MS, India

[2] Hodeidah Univ, Dept Math, Al Hodeidah 3114, Yemen

来源：

INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS | 2021年 / 12卷 / 01期

关键词：

fractional functional differential equations; Caputo fractional derivative; existence and continuous dependence; fixed point theorem; EXISTENCE; UNIQUENESS;

D O I：

10.22075/ijnaa.2018.13488.1698

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study an initial value problem for a class of nonlinear fractional neutral func-tional differential equations with infinite delay involving a Caputo fractional derivative. Existence, uniqueness, and continuous dependence results are established by using a variety of tools of fractional calculus including Banach's contraction principle and Schaefer's fixed point theorem.

引用

页码：1195 / 1206

页数：12

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