Positive Solutions for a Weakly Singular Hadamard-Type Fractional Differential Equation with Changing-Sign Nonlinearity
In this paper, we focus on the existence of positive solutions for a class of weakly singular Hadamard-type fractional mixed periodic boundary value problems with a changing-sign singular perturbation. By using nonlinear analysis methods combining with some numerical techniques, we further discuss t...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2020/5623589 |
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| _version_ | 1832566400240058368 |
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| author | Xinguang Zhang Lixin Yu Jiqiang Jiang Yonghong Wu Yujun Cui |
| author_facet | Xinguang Zhang Lixin Yu Jiqiang Jiang Yonghong Wu Yujun Cui |
| author_sort | Xinguang Zhang |
| collection | DOAJ |
| description | In this paper, we focus on the existence of positive solutions for a class of weakly singular Hadamard-type fractional mixed periodic boundary value problems with a changing-sign singular perturbation. By using nonlinear analysis methods combining with some numerical techniques, we further discuss the effect of the perturbed term for the existence of solutions of the problem under the positive, negative, and changing-sign cases. The interesting points are that the nonlinearity can be singular at the second and third variables and be changing-sign. |
| format | Article |
| id | doaj-art-4b74f13ef03f411e9f91a91d409852b0 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-4b74f13ef03f411e9f91a91d409852b02025-02-03T01:04:08ZengWileyJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/56235895623589Positive Solutions for a Weakly Singular Hadamard-Type Fractional Differential Equation with Changing-Sign NonlinearityXinguang Zhang0Lixin Yu1Jiqiang Jiang2Yonghong Wu3Yujun Cui4School of Mathematical and Informational Sciences, Yantai University, Yantai, 264005 Shandong, ChinaSchool of Mathematical and Informational Sciences, Yantai University, Yantai, 264005 Shandong, ChinaSchool of Mathematical Sciences, Qufu Normal University, Qufu, 273165 Shandong, ChinaDepartment of Mathematics and Statistics, Curtin University of Technology, Perth, WA 6845, AustraliaDepartment of Mathematics, Shandong University of Science and Technology, Qingdao, 266590 Shandong, ChinaIn this paper, we focus on the existence of positive solutions for a class of weakly singular Hadamard-type fractional mixed periodic boundary value problems with a changing-sign singular perturbation. By using nonlinear analysis methods combining with some numerical techniques, we further discuss the effect of the perturbed term for the existence of solutions of the problem under the positive, negative, and changing-sign cases. The interesting points are that the nonlinearity can be singular at the second and third variables and be changing-sign.http://dx.doi.org/10.1155/2020/5623589 |
| spellingShingle | Xinguang Zhang Lixin Yu Jiqiang Jiang Yonghong Wu Yujun Cui Positive Solutions for a Weakly Singular Hadamard-Type Fractional Differential Equation with Changing-Sign Nonlinearity Journal of Function Spaces |
| title | Positive Solutions for a Weakly Singular Hadamard-Type Fractional Differential Equation with Changing-Sign Nonlinearity |
| title_full | Positive Solutions for a Weakly Singular Hadamard-Type Fractional Differential Equation with Changing-Sign Nonlinearity |
| title_fullStr | Positive Solutions for a Weakly Singular Hadamard-Type Fractional Differential Equation with Changing-Sign Nonlinearity |
| title_full_unstemmed | Positive Solutions for a Weakly Singular Hadamard-Type Fractional Differential Equation with Changing-Sign Nonlinearity |
| title_short | Positive Solutions for a Weakly Singular Hadamard-Type Fractional Differential Equation with Changing-Sign Nonlinearity |
| title_sort | positive solutions for a weakly singular hadamard type fractional differential equation with changing sign nonlinearity |
| url | http://dx.doi.org/10.1155/2020/5623589 |
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