Positive Solutions for Some Semipositone Fractional Boundary Value Problems on the Half-Line
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 o...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2023-10-01
|
| Series: | Fractal and Fractional |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2504-3110/7/11/774 |
| _version_ | 1797459291948449792 |
|---|---|
| author | Imed Bachar |
| author_facet | Imed Bachar |
| author_sort | Imed Bachar |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-09T16:49:22Z |
| format | Article |
| id | doaj.art-e6745a465dd949c19a84e70fdfaf5bf7 |
| institution | Directory Open Access Journal |
| issn | 2504-3110 |
| language | English |
| last_indexed | 2024-03-09T16:49:22Z |
| publishDate | 2023-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Fractal and Fractional |
| spelling | doaj.art-e6745a465dd949c19a84e70fdfaf5bf72023-11-24T14:42:56ZengMDPI AGFractal and Fractional2504-31102023-10-0171177410.3390/fractalfract7110774Positive Solutions for Some Semipositone Fractional Boundary Value Problems on the Half-LineImed Bachar0Mathematics Department, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi ArabiaOur 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.https://www.mdpi.com/2504-3110/7/11/774semipositone fractional boundary value problemspositive solutionGreen’s functionhalf-line |
| spellingShingle | Imed Bachar Positive Solutions for Some Semipositone Fractional Boundary Value Problems on the Half-Line Fractal and Fractional semipositone fractional boundary value problems positive solution Green’s function half-line |
| title | Positive Solutions for Some Semipositone Fractional Boundary Value Problems on the Half-Line |
| title_full | Positive Solutions for Some Semipositone Fractional Boundary Value Problems on the Half-Line |
| title_fullStr | Positive Solutions for Some Semipositone Fractional Boundary Value Problems on the Half-Line |
| title_full_unstemmed | Positive Solutions for Some Semipositone Fractional Boundary Value Problems on the Half-Line |
| title_short | Positive Solutions for Some Semipositone Fractional Boundary Value Problems on the Half-Line |
| title_sort | positive solutions for some semipositone fractional boundary value problems on the half line |
| topic | semipositone fractional boundary value problems positive solution Green’s function half-line |
| url | https://www.mdpi.com/2504-3110/7/11/774 |
| work_keys_str_mv | AT imedbachar positivesolutionsforsomesemipositonefractionalboundaryvalueproblemsonthehalfline |