Successive approximations for random coupled Hilfer fractional differential systems

被引：1

作者：

Bachir, Fatima Si ^{[1
]}

Abbas, Said ^{[2
]}

Benbachir, Maamar ^{[3
]}

Benchohra, Mouffak ^{[4
]}

机构：

[1] Univ Ghardaia, Lab Math & Appl Sci, Metlili 47000, Algeria

[2] Univ Saida Dr Moulay Tahar, Dept Math, POB 138, En Nasr 20000, Saida, Algeria

[3] Univ Blida, Saad Dahlab Blida1, Dept Math, Ouled Yaich, Algeria

[4] Univ Djillali Liabes Sidi Bel Abbes, Lab Math, POB 89, Sidi Bel Abbes 22000, Algeria

来源：

ARABIAN JOURNAL OF MATHEMATICS | 2021年 / 10卷 / 02期

关键词：

26A33; EQUATIONS; OPERATORS;

D O I：

10.1007/s40065-021-00326-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study the global convergence of successive approximations as well as the uniqueness of the random solution of a coupled random Hilfer fractional differential system. We prove a theorem on the global convergence of successive approximations to the unique solution of our problem. In the last section, we present an illustrative example.

引用

页码：301 / 310

页数：10

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