Existence of solutions by fixed point theorem of general delay fractional differential equation with p-Laplacian operator

被引:16
|
作者
Kaushik, Kirti [1 ]
Kumar, Anoop [1 ]
Khan, Aziz [2 ]
Abdeljawad, Thabet [2 ,3 ,4 ]
机构
[1] Cent Univ Punjab, Dept Math & Stat, Bathinda 151401, Punjab, India
[2] Prince Sultan Univ, Dept Math & Sci, POB 66833, Riyadh 11586, Saudi Arabia
[3] China Med Univ, Dept Med Res, Taichung 40402, Taiwan
[4] Kyung Hee Univ, Dept Math, Kyungheedae Ro 26, Seoul 02447, South Korea
来源
AIMS MATHEMATICS | 2023年 / 8卷 / 05期
关键词
Riemann-Liouville integral; Caputo?s derivative; Green?s function; fixed point theorems; Hyres-Ulam stability; HYERS-ULAM STABILITY;
D O I
10.3934/math.2023514
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this manuscript, the main objective is to analyze the existence, uniqueness,(EU) and stability of positive solution for a general class of non-linear fractional differential equation (FDE) with fractional differential and fractional integral boundary conditions utilizing Op-Laplacian operator. To continue, we will apply Green's function to determine the suggested FDE's equivalent integral form. The Guo-Krasnosel'skii fixed point theorem and the properties of the p-Laplacian operator are utilized to derive the existence results. Hyers-Ulam (HU) stability is additionally evaluated. Further, an application is presented to validate the effectiveness of the result.
引用
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页码:10160 / 10176
页数:17
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