A singular ABC-fractional differential equation with p-Laplacian operator

被引：71
|
作者：
Khan, Hasib [1 ,2 ]
Jarad, Fahd [3 ]
Abdeljawad, Thabet [4 ]
Khan, Aziz [4 ]
机构：
[1] Hohai Univ, Coll Engn Mech & Mat, Nanjing 211100, Jiangsu, Peoples R China
[2] Shaheed Benazir Bhutto Univ, Dept Math, Khybar Pakhtunkhwa 18000, Dir Upper, Pakistan
[3] Cankaya Univ, Dept Math, TR-06790 Ankara, Turkey
[4] Prince Sultan Univ, Dept Math & Gen Sci, POB 66833, Riyadh 11586, Saudi Arabia
来源：
CHAOS SOLITONS & FRACTALS | 2019年 / 129卷
关键词：
ABC-fractional differential equation; Existence of positive solution; HU-stability; Applications of the results; POSITIVE SOLUTIONS; STABILITY ANALYSIS; KERNEL;
D O I：
10.1016/j.chaos.2019.08.017
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article, we have focused on the existence and uniqueness of solutions and Hyers-Ulam stability for ABC-fractional DEs with p-Laplacian operator involving spatial singularity. The existence and uniqueness of solutions are derived with the help of the well-known Guo-Krasnoselskii theorem. Our work is a continuation of the study carried out in the recently published article " Chaos Solitons & Fractals. 2018;117:16-20." To manifest the results, we include an example with specific parameters and assumptions. (C) 2019 Elsevier Ltd. All rights reserved.
引用
收藏
页码：56 / 61
页数：6
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