On the impulsive implicit ψ-Hilfer fractional differential equations with delay

被引：36
作者：
Kharade, Jyoti P. [1 ]
Kucche, Kishor D. [1 ]
机构：
[1] Shivaji Univ, Dept Math, Kolhapur, Maharashtra, India
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2020年 / 43卷 / 04期
关键词：
existence and uniqueness; fractional differential equations; fractional integral inequality; stability; psi-Hilfer derivative; MITTAG-LEFFLER STABILITY;
D O I：
10.1002/mma.6017
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigate the existence and uniqueness of solutions and derive the Ulam-Hyers-Mittag-Leffler stability results for impulsive implicit psi-Hilfer fractional differential equations with time delay. It is demonstrated that the Ulam-Hyers and generalized Ulam-Hyers stability are the specific cases of Ulam-Hyers-Mittag-Leffler stability. Extended version of the Gronwall inequality, abstract Gronwall lemma, and Picard operator theory are the primary devices in our investigation. We provide an example to illustrate the obtained results.
引用
收藏
页码：1938 / 1952
页数：15
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