Monotone Positive Solutions for Nonlinear Fractional Differential Equations with a Disturbance Parameter on the Infinite Interval
This paper is concerned with the existence and multiplicity of monotone positive solutions for a class of nonlinear fractional differential equation with a disturbance parameter in the integral boundary conditions on the infinite interval. By using Guo–Krasnosel’skii fixed-point theorem and the anal...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2024-01-01
|
| Series: | Mathematics |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2227-7390/12/2/325 |
| _version_ | 1827371539391053824 |
|---|---|
| author | Yanping Zheng Hui Yang Wenxia Wang |
| author_facet | Yanping Zheng Hui Yang Wenxia Wang |
| author_sort | Yanping Zheng |
| collection | DOAJ |
| description | This paper is concerned with the existence and multiplicity of monotone positive solutions for a class of nonlinear fractional differential equation with a disturbance parameter in the integral boundary conditions on the infinite interval. By using Guo–Krasnosel’skii fixed-point theorem and the analytic technique, we divide the range of parameter for the existence of at least two, one and no positive solutions for the problem. In the end, an example is given to illustrate our main results. |
| first_indexed | 2024-03-08T10:40:55Z |
| format | Article |
| id | doaj.art-003c59eaf21946c7a6d6405e62a67b38 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-08T10:40:55Z |
| publishDate | 2024-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-003c59eaf21946c7a6d6405e62a67b382024-01-26T17:33:36ZengMDPI AGMathematics2227-73902024-01-0112232510.3390/math12020325Monotone Positive Solutions for Nonlinear Fractional Differential Equations with a Disturbance Parameter on the Infinite IntervalYanping Zheng0Hui Yang1Wenxia Wang2School of Mathematics and Statistics, Taiyuan Normal University, Jinzhong 030619, ChinaSchool of Mathematics and Statistics, Taiyuan Normal University, Jinzhong 030619, ChinaSchool of Mathematics and Statistics, Taiyuan Normal University, Jinzhong 030619, ChinaThis paper is concerned with the existence and multiplicity of monotone positive solutions for a class of nonlinear fractional differential equation with a disturbance parameter in the integral boundary conditions on the infinite interval. By using Guo–Krasnosel’skii fixed-point theorem and the analytic technique, we divide the range of parameter for the existence of at least two, one and no positive solutions for the problem. In the end, an example is given to illustrate our main results.https://www.mdpi.com/2227-7390/12/2/325boundary value problemdisturbance parameterinfinite intervalmonotone positive solution |
| spellingShingle | Yanping Zheng Hui Yang Wenxia Wang Monotone Positive Solutions for Nonlinear Fractional Differential Equations with a Disturbance Parameter on the Infinite Interval Mathematics boundary value problem disturbance parameter infinite interval monotone positive solution |
| title | Monotone Positive Solutions for Nonlinear Fractional Differential Equations with a Disturbance Parameter on the Infinite Interval |
| title_full | Monotone Positive Solutions for Nonlinear Fractional Differential Equations with a Disturbance Parameter on the Infinite Interval |
| title_fullStr | Monotone Positive Solutions for Nonlinear Fractional Differential Equations with a Disturbance Parameter on the Infinite Interval |
| title_full_unstemmed | Monotone Positive Solutions for Nonlinear Fractional Differential Equations with a Disturbance Parameter on the Infinite Interval |
| title_short | Monotone Positive Solutions for Nonlinear Fractional Differential Equations with a Disturbance Parameter on the Infinite Interval |
| title_sort | monotone positive solutions for nonlinear fractional differential equations with a disturbance parameter on the infinite interval |
| topic | boundary value problem disturbance parameter infinite interval monotone positive solution |
| url | https://www.mdpi.com/2227-7390/12/2/325 |
| work_keys_str_mv | AT yanpingzheng monotonepositivesolutionsfornonlinearfractionaldifferentialequationswithadisturbanceparameterontheinfiniteinterval AT huiyang monotonepositivesolutionsfornonlinearfractionaldifferentialequationswithadisturbanceparameterontheinfiniteinterval AT wenxiawang monotonepositivesolutionsfornonlinearfractionaldifferentialequationswithadisturbanceparameterontheinfiniteinterval |