Existence of positive solutions for singular fractional boundary value problems with p-Laplacian

被引：2

作者：

Hamal, Nuket Aykut ^{[1
]}

Erkan, Furkan ^{[1
]}

机构：

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

来源：

FILOMAT | 2023年 / 37卷 / 20期

关键词：

Riemann-Liouville fractional derivative; Positive solutions; p-Laplacian; Avery-Peterson fixed point theorem; DIFFERENTIAL-EQUATIONS;

D O I：

10.2298/FIL2320867H

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we obtain the existence of positive solutions for the singular fractional boundary value problem with p-Laplacian. The existence of positive solutions is established using the Avery-Peterson fixed point theorem. In addition, we include an example for the demonstration of our main result.

引用

页码：6867 / 6876

页数：10

共 28 条

[1]

Ahmad B., 2021, BOUND VALUE PROBL, DOI 10.114211942////

[2] Nonlocal Controllability of Sobolev-Type Conformable Fractional Stochastic Evolution Inclusions with Clarke Subdifferential [J].

Ahmed, Hamdy M. ;

Ragusa, Maria Alessandra .

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2022, 45 (06) :3239-3253

[3] Positive solutions for boundary value problem of nonlinear fractional differential equation [J].

Bai, ZB ;

Lü, HS .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2005, 311 (02) :495-505

[4] Constant-Sign Green's Function of a Second-Order Perturbed Periodic Problem [J].

Cabada, Alberto ;

Lopez-Somoza, Lucia ;

Yousfi, Mouhcine .

AXIOMS, 2022, 11 (03)

[5] Positive solutions for boundary value problem of fractional differential equation with p-Laplacian operator [J].

Chai, Guoqing .

BOUNDARY VALUE PROBLEMS, 2012,

[6] Existence of Positive Solutions for the Nonlinear Fractional Boundary Value Problems with p-Laplacian [J].

Chakuvinga, Tawanda Gallan ;

Topal, Fatma Serap .

FILOMAT, 2021, 35 (09) :2927-2949

[7] An anti-periodic boundary value problem for the fractional differential equation with a p-Laplacian operator [J].

Chen, Taiyong ;

Liu, Wenbin .

APPLIED MATHEMATICS LETTERS, 2012, 25 (11) :1671-1675

[8] Positive solutions to boundary value problems of p-Laplacian with fractional derivative [J].

Dong, Xiaoyu ;

Bai, Zhanbing ;

Zhang, Shuqin .

BOUNDARY VALUE PROBLEMS, 2017,

[9] Existence of positive solutions for singular fractional differential equations with infinite-point boundary conditions [J].

Guo, Limin ;

Liu, Lishan ;

Wu, Yonghong .

NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2016, 21 (05) :635-650

[10] Positive solutions for three-point boundary value problems with dependence on the first order derivative [J].

Guo, YP ;

Ge, WG .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 290 (01) :291-301

← 1 2 3 →