Existence and Ulam stability of initial value problem for fractional perturbed functional q-difference equations

被引：1
|
作者：
Allouch, Nadia [1 ]
Hamani, Samira [1 ]
机构：
[1] Univ Mostaganem, Fac SEI, Lab Pure & Appl Math, BP 227, Mostaganem 27000, Algeria
来源：
STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA | 2024年 / 69卷 / 03期
关键词：
Initial value problem; Caputo fractional q-derivative; Burton and Kirk's fixed point theorem; Ulam-Hyers stability; Ulam-Hyers-Rassias stability; INTEGRALS;
D O I：
10.24193/subbmath.2024.3.02
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this work, we discuss the existence and uniqueness of solutions to the initial value problem for perturbed functional fractional q-difference equations involving q-derivative of the Caputo sense. By applying Banach contraction principle and Burton and Kirk's fixed point theorems. Further, we present the Ulam-Hyers and Ulam-Hyers-Rassias stabilities results by using direct analysis methods. Finally, we give two examples illustrating of the results.
引用
收藏
页码：483 / 502
页数：20
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