Well-posedness of nonlinear fractional quadratic iterative differential equations

被引：1
|
作者：
Zhou, Mi [1 ]
机构：
[1] Univ South China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China
来源：
JOURNAL OF ANALYSIS | 2023年 / 31卷 / 02期
关键词：
Iterative fractional differential equations; Fractional Gronwall inequalities; Fixed point theorem; Existence; EXISTENCE;
D O I：
10.1007/s41478-022-00484-0
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we discuss the existence and uniqueness of solutions for a class of nonlinear fractional quadratic iterative differential equations in Banach space C([0, T], [0, T]), C-LT ([0, T], [0, T]), and C-LA ([0, T], [0, T]), respectively. Our analysis is based on Schauder's fixed point theorem, fractional Gronwall inequalities and Picard operator theory. Furthermore, our results can be extend to extra complex nonlinear terms. Finally, some examples are given to illustrate our results.
引用
收藏
页码：881 / 897
页数：17
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