Positive solutions for fractional differential equations with non-separated type nonlocal multi-point and multi-term integral boundary conditions

被引：1

作者：

Djourdem, Habib ^{[1
]}

Benaicha, Slimane ^{[1
]}

机构：

[1] Univ Oran1, Lab Fundamental & Appl Math Oran LMFAO, BP 1524, El Mnaouer 31000, Oran, Algeria

来源：

STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA | 2021年 / 66卷 / 04期

关键词：

Fractional differential equations; Riemann-Liouville fractional derivative; multi-term fractional integral boundary condition; fixed point theorems; EXISTENCE; SYSTEM;

D O I：

10.24193/subbmath.2021.4.08

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we investigate a class of nonlinear fractional differential equations that contain both the multi-term fractional integral boundary condition and the multi-point boundary condition. By the Krasnoselskii fixed point theorem we obtain the existence of at least one positive solution. Then, we obtain the existence of at least three positive solutions by the Legget-Williams fixed point theorem. Two examples are given to illustrate our main results.

引用

页码：691 / 708

页数：18

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