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.
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页码：85 / 104
页数：20
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