On singular φ-Laplacian BVPs of nonlinear fractional differential equation

被引：0

作者：

Temar, Bahia ^{[1
]}

Saifi, Ouiza ^{[2
]}

Djebali, Smail ^{[3
]}

机构：

[1] Univ Yahia Fares Medea, Fac Technol, Dept Tronc Commun, Medea, Algeria

[2] Algiers Univ 3, Fac Econ & Management Sci, Dept Econ, Algiers, Algeria

[3] Imam Mohammad Ibn Saud Islamic Univ IMSIU, Coll Sci, Dept Math, PB 90950, Riyadh 11623, Saudi Arabia

来源：

STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA | 2024年 / 69卷 / 01期

关键词：

Fractional differential equation; 0-Laplacian; fixed points index; cone; positive solution; multiple solutions; POSITIVE SOLUTIONS;

D O I：

10.24193/subbmath.2024.1.07

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper investigates the existence of multiple positive solutions for a class of 0-Laplacian boundary value problem with a nonlinear fractional differential equation and fractional boundary conditions. Multiple solutions are proved under slight conditions on a possibly degenerating source term. Approximation techniques together with the fixed point index theory a on cone of a Banach space are employed. Some illustrating examples of are also supplied.

引用

页码：93 / 114

页数：22

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