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.

引用

页码：1359 / 1383

页数：25

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