SEMIPOSITONE FRACTIONAL BOUNDARY VALUE PROBLEMS WITH N POINT FRACTIONAL INTEGRAL BOUNDARY CONDITIONS

被引：3

作者：

Batik, Songul ^{[1
]}

Yoruk, Fulya ^{[1
]}

机构：

[1] Ege Univ, Dept Math, TR-35100 Izmir, Turkey

来源：

MISKOLC MATHEMATICAL NOTES | 2022年 / 23卷 / 01期

关键词：

multiple positive solution; fractional differential equation; fixed point theorem; POSITIVE SOLUTIONS; DIFFERENTIAL-EQUATIONS; EXISTENCE;

D O I：

10.18514/MMN.2022.3651

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we obtain the existence of positive solutions for the semipositone fractional boundary value problem with n point fractional integral boundary conditions. The existence of positive solutions is established using the five functionals fixed point theorem. An example is given to ratify that our main result is theoretically feasible.

引用

收藏

页码：93 / 104

页数：12

相关论文

共 19 条

[1]

AVERY RI, 1999, MATH SCI RES HOT LIN, V3, P9

[2] POSITIVE SOLUTION FOR NONLINEAR FRACTIONAL DIFFERENTIAL EQUATION WITH NONLOCAL MULTI-POINT CONDITION [J].

Borisut, Piyachat ;

Kumam, Poom ;

Ahmed, Idris ;

Sitthithakerngkiet, Kanokwan .

FIXED POINT THEORY, 2020, 21 (02) :427-440

[3] Positive solutions of nonlinear fractional differential equations with integral boundary value conditions [J].

Cabada, Alberto ;

Wang, Guotao .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 389 (01) :403-411

[4] Existence results for the fractional differential equations with multi-strip integral boundary conditions [J].

Di, Bin ;

Pang, Huihui .

JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2019, 59 (1-2) :1-19

[5] Positive Solutions for the Eigenvalue Problem of Semipositone Fractional Order Differential Equation with Multipoint Boundary Conditions [J].

Dong, Ge p .

ABSTRACT AND APPLIED ANALYSIS, 2014,

[6] Existence of Multiple Positive Solutions for Semipositone Fractional Boundary Value Problems [J].

Ege, Serife Muge ;

Topal, Fatma Serap .

FILOMAT, 2019, 33 (03) :749-759

[7] Existence of positive solutions for a high order fractional differential equation integral boundary value problem with changing sign nonlinearity [J].

He, Jiankun ;

Jia, Mei ;

Liu, Xiping ;

Chen, Hui .

ADVANCES IN DIFFERENCE EQUATIONS, 2018,

[8]

Kilbas A.A., 2006, N HOLLAND MATH STUDI, V204

[9] Positive solutions for boundary value problem of nonlinear fractional functional differential equations [J].

Li, Xiaoyan ;

Liu, Song ;

Jiang, Wei .

APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (22) :9278-9285

[10]

Podlubny I., 1998, MATH SCI ENG, V198