Existence and data dependence results for fractional differential equations involving atangana-baleanu derivative

被引：7
|
作者：
Sutar, Sagar T. [1 ]
Kucche, Kishor D. [2 ]
机构：
[1] Vivekanand Coll Autonomous, Dept Math, Kolhapur 416003, Maharashtra, India
[2] Shivaji Univ, Dept Math, Kolhapur 416004, Maharashtra, India
来源：
RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO | 2022年 / 71卷 / 02期
关键词：
Multi-derivative fractional differential equations; Atangana-Baleanu derivative; Existence and uniqueness; Dependence of solution; Gronwall-Bellman inequality; MODEL;
D O I：
10.1007/s12215-021-00622-w
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In the current paper, we consider multi-derivative nonlinear fractional differential equations involving Atangana-Baleanu fractional derivative. We investigate the fundamental results about the existence, uniqueness, boundedness and dependence of the solution on various data. The analysis is based on a fractional integral operator due to T. R. Prabhakar involving generalized Mittag-Leffler function, the Krasnoselskii's fixed point theorem and Gronwall-Bellman inequality with continuous functions.
引用
收藏
页码：647 / 663
页数：17
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