EXISTENCE RESULTS OF SOLUTIONS FOR SOME FRACTIONAL NEUTRAL FUNCTIONAL INTEGRO-DIFFERENTIAL EQUATIONS WITH INFINITE DELAY

被引：0

作者：

Nouri, Kazem ^{[1
]}

Nazari, Marjan ^{[1
]}

Torkzadeh, Leila ^{[1
]}

Keramati, Bagher ^{[1
]}

机构：

[1] Semnan Univ, Fac Math Stat & Comp Sci, Dept Math, POB 35195-363, Semnan, Iran

来源：

ADVANCES IN DIFFERENTIAL EQUATIONS AND CONTROL PROCESSES | 2018年 / 19卷 / 01期

关键词：

fractional neutral integro-differential equations; initial value problem; Caputo fractional derivative; Krasnoselskii's fixed point theorem;

D O I：

10.17654/DE019010049

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By means of the Banach fixed point theorem and the Krasnoselskii's fixed point theorem, we investigate the existence of solutions for some fractional neutral functional integro-differential equations involving infinite delay. Results obtained generalize certain earlier results on the fractional equations in the sense of Caputo in Banach spaces under specific conditions. An analytical example is presented to illustrate the concept and detailed solution theorems.

引用

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页码：49 / 67

页数：19

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