Monotone iterative technique for a sequential δ-Caputo fractional differential equations with nonlinear boundary conditions

被引：0
|
作者：
Baitiche, Zidane [1 ]
Derbazi, Choukri [1 ]
Salim, Abdelkrim [2 ,3 ]
Benchohra, Mouffak [2 ]
机构：
[1] Freres Mentouri Univ Constantine 1, Fac Exact Sci, Dept Math, Laboratoire Equat Differentielles, POB 325,Ain El Bey Way, Constantine, Algeria
[2] Djillali Liabes Univ Sidi Bel Abbes, Math Lab, Sidi Bel Abbes, Algeria
[3] Hassiba Benbouali Univ, Fac Technol, POB 151, Chlef 02000, Algeria
来源：
STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA | 2024年 / 69卷 / 03期
关键词：
Sequential delta-Caputo derivative; nonlinear boundary conditions; monotone iterative technique; upper and lower solutions; RESPECT;
D O I：
10.24193/subbmath.2024.3.06
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article, we discuss the existence of extremal solutions for a class of nonlinear sequential delta-Caputo fractional differential equations involving nonlinear boundary conditions. Our results are founded on advanced functional analysis methods. To be more specific, we use the monotone iterative approach in conjunction with the upper and lower solution method to create adequate requirements for the existence of extremal solutions. As an application, we give an example to illustrate our results.
引用
收藏
页码：553 / 565
页数：13
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