Analysis of nonlinear fractional differential equations involving Atangana-Baleanu-Caputo derivative

被引：32
|
作者：
Kucche, Kishor D. [1 ]
Sutar, Sagar T. [2 ]
机构：
[1] Shivaji Univ, Dept Math, Kolhapur 416004, Maharashtra, India
[2] Vivekanand Coll Autonomous, Dept Math, Kolhapur 416003, Maharashtra, India
来源：
CHAOS SOLITONS & FRACTALS | 2021年 / 143卷
关键词：
Fractional differential equations; Fractional differential inequalities; Comparison results; Local and global existence; Atangana-Baleanu-Caputo fractional derivative;
D O I：
10.1016/j.chaos.2020.110556
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In the present paper, we determine estimations on Atangana-Baleanu-Caputo fractional derivative at the extreme points. With the assistance of these estimations, we derive comparison results. Peano's type existence results are established for nonlinear fractional differential equations involving Atangana-BaleanuCaputo fractional derivative. The acquired comparison results are then utilized to deal with the existence of local, extremal and global solution. (c) 2020 Elsevier Ltd. All rights reserved.
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页数：9
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