System of fractional boundary value problems at resonance

被引：5
|
作者：
Iatime, Khadidja [1 ,2 ]
Guedda, Lamine [3 ]
Djebali, Smail [4 ,5 ]
机构：
[1] Hamma Lakhdar Univ, Lab Theorie Operateurs, El Oued, Algeria
[2] Hamma Lakhdar Univ, EDP, El Oued, Algeria
[3] Hamma Lakhdar Univ, Exact Sci Fac, El Oued, Algeria
[4] Imam Mohammad Ibn Saud Islamic Univ IMSIU, Fac Sci, Dept Math, PB 90950, Riyadh 11623, Saudi Arabia
[5] ENS, Lab Theorie Point Fixe & Applicat, Kouba Algiers, Algeria
来源：
FRACTIONAL CALCULUS AND APPLIED ANALYSIS | 2023年 / 26卷 / 03期
关键词：
system of fractional differential equation (primary); simple eigenvalue; characteristic polynomial; integral boundary condition; resonance case; POSITIVE SOLUTIONS; DIFFERENTIAL-EQUATIONS;
D O I：
10.1007/s13540-023-00157-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigate the existence of solutions for a system of fractional differential equations at resonance set on the interval [0, 1]. We associate a Dirichlet condition at t = 0 and an integral boundary condition at t = 1. Our main existence theorem relies on the coincidence degree theory. A detailed study of the linear operators involved in the fixed point formulation is carried out. Finally, an example is included to illustrate the applicability of theoretical result.
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页码：1359 / 1383
页数：25
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