EXISTENCE AND STABILITY ANALYSIS OF SEQUENTIAL COUPLED SYSTEM OF HADAMARD-TYPE FRACTIONAL DIFFERENTIAL EQUATIONS

被引：1

作者：

Zada, Akbar ^{[1
]}

Yar, Mohammad ^{[1
]}

机构：

[1] Univ Peshawar, Dept Math, Peshawar 25000, Pakistan

来源：

KRAGUJEVAC JOURNAL OF MATHEMATICS | 2022年 / 46卷 / 01期

关键词：

Hadamard fractional derivative; sequential coupled system; fixed point theorem; Hyers-Ulam stability; BOUNDARY-VALUE PROBLEM; HYERS-ULAM STABILITY; UNIQUENESS; DELAY;

D O I：

10.46793/KgJMat2201.085Z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we study existence, uniqueness and Hyers-Ulam stability for a sequential coupled system consisting of fractional differential equations of Hadamard type, subject to nonlocal Hadamard fractional integral boundary conditions. The existence of solutions is derived from Leray-Schauder's alternative, whereas the uniqueness of solution is established by Banach contraction principle. An example is also presented which illustrate our results.

引用

页码：85 / 104

页数：20

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