Positive solutions of a nonlinear three-point p-Laplacian fractional boundary value problem with infinitely many singularities

被引:0
|
作者
Panigrahi, S. [1 ]
Kumar, Raghvendra [1 ]
机构
[1] Univ Hyderabad, Sch Math & Stat, Hyderabad 500046, India
来源
IFAC PAPERSONLINE | 2024年 / 58卷 / 12期
关键词
Continuous fractional calculus; Boundary value problem; Positive solutions; Fixed point index theorem; Cone; Banach Space;
D O I
10.1016/j.ifacol.2024.08.238
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In this paper, an attempt has been made to establish the existence and multiplicity of positive solutions for a class of nonlinear singular fractional differential equation subject to the non-local boundary conditions. We have shown that there exist countably many positive solutions with the help of fixed point index theory in a cone on a Banach space. Copyright (C) 2024 The Authors. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0/)
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页码:484 / 489
页数:6
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