Existence results for ψ-Caputo fractional neutral functional integro-differential equations with finite delay

被引：11

作者：

Boutiara, Abdellatif ^{[1
]}

Abdo, Mohamed S. ^{[2
]}

Benbachir, Maamar ^{[3
]}

机构：

[1] Univ Ghardaia, Lab Math & Appl Sci, Metlili, Algeria

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

[3] Saad Dahlab Univ, Fac Sci, Blida, Algeria

来源：

TURKISH JOURNAL OF MATHEMATICS | 2020年 / 44卷 / 06期

关键词：

Delay fractional differential equations; psi-Caputo fractional derivative; existence and stability theory; coupled system; neutral; fixed point theorem; DIFFERENTIAL-EQUATIONS; HADAMARD; DERIVATIVES; STABILITY; RESPECT;

D O I：

10.3906/mat-2010-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This research article deals with novel two species of initial value problems, one of them, the fractional neutral functional integrodifferential equations, and the other one, the coupled system of fractional neutral functional integrodifferential equations, with finite delay and involving a psi-Caputo fractional operator. The existence and uniqueness results are studied through Banach's contraction principle and Krasnoselskii's fixed point theorem. We also establish two various kinds of Ulam stability results for the proposed problems. Further, two pertinent examples are presented to demonstrate the reported results.

引用

页码：2380 / 2401

页数：22

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