Nonlocal Problems for Hilfer Fractional q-Difference Equations

被引：0
|
作者：
Tian, Chunping [1 ]
Gu, Haibo [1 ]
Yang, Zunkai [1 ]
机构：
[1] Xinjiang Normal Univ, Sch Math Sci, Urumqi 830017, Peoples R China
来源：
FRACTAL AND FRACTIONAL | 2023年 / 7卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Hilfer fractional q-difference; topological degree theory; extremal solution; Ulam stability; nonlocal condition; BOUNDARY-VALUE-PROBLEMS; EXISTENCE;
D O I：
10.3390/fractalfract7020101
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In the paper, we investigate a kind of Hilfer fractional q-difference equations with nonlocal condition. Firstly, the existence and uniqueness results of solutions are obtained by using topological degree theory and Banach fixed point theorem. Subsequently, the existence of extremal solutions in an ordered Banach space is discussed by monotone iterative method. In that following, we consider the Ulam stability results for equations. Finally, two examples are given to illustrate the effectiveness of theory results.
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页数：17
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