Positive Solutions for Some Semipositone Fractional Boundary Value Problems on the Half-Line-Reference-Cited by-同舟云学术

Positive Solutions for Some Semipositone Fractional Boundary Value Problems on the Half-Line

Published:2023-10-24 Issue:11 Volume:7 Page:774
ISSN:2504-3110
Container-title:Fractal and Fractional
language:en
Short-container-title:Fractal Fract

Author:

Bachar Imed¹^ORCID

Affiliation:

1. Mathematics Department, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia

Abstract

Our goal is to address the question of existence and uniqueness of a positive continuous solution to some semipositone fractional boundary value problems on the half-line. Global estimates on this solution are given. This kind of problems, where the nonlinearity is allowed to be sign-changing, are often difficult to solve analytically and becomes more challenging specially when we are looking for positive solutions. The main result is obtained by means of the properties of the Green function and fixed point theorem.

Publisher

MDPI AG

Subject

Statistics and Probability,Statistical and Nonlinear Physics,Analysis

Link

https://www.mdpi.com/2504-3110/7/11/774/pdf

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