Multiple Solution Results for Perturbed Fractional Differential Equations with Impulses
The multiplicity of classical solutions for impulsive fractional differential equations has been studied by many scholars. Using Morse theory, Brezis and Nirenberg’s Linking Theorem, and Clark theorem, we aim to solve this kind of problems. By this way, we obtain the existence of at least three clas...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2020-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2020/8512183 |
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| _version_ | 1850159783953301504 |
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| author | Peiluan Li Liang Xu Peiyu Li Hui Wang |
| author_facet | Peiluan Li Liang Xu Peiyu Li Hui Wang |
| author_sort | Peiluan Li |
| collection | DOAJ |
| description | The multiplicity of classical solutions for impulsive fractional differential equations has been studied by many scholars. Using Morse theory, Brezis and Nirenberg’s Linking Theorem, and Clark theorem, we aim to solve this kind of problems. By this way, we obtain the existence of at least three classical solutions and k distinct pairs of classical solutions. Finally, an example is presented to illustrate the feasibility of the main results in this paper. |
| format | Article |
| id | doaj-art-b379b46ae9534f9c8ed94ae1f5be570a |
| institution | OA Journals |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-b379b46ae9534f9c8ed94ae1f5be570a2025-08-20T02:23:24ZengWileyJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/85121838512183Multiple Solution Results for Perturbed Fractional Differential Equations with ImpulsesPeiluan Li0Liang Xu1Peiyu Li2Hui Wang3School of Mathematics and Statistics, Henan University of Science and Technology, Luoyang 471023, ChinaSchool of Mathematics and Statistics, Henan University of Science and Technology, Luoyang 471023, ChinaCollege of Information Engineering, Henan University of Science and Technology, Luoyang 471023, ChinaNetwork Information Center, Henan University of Science and Technology, Luoyang 471023, ChinaThe multiplicity of classical solutions for impulsive fractional differential equations has been studied by many scholars. Using Morse theory, Brezis and Nirenberg’s Linking Theorem, and Clark theorem, we aim to solve this kind of problems. By this way, we obtain the existence of at least three classical solutions and k distinct pairs of classical solutions. Finally, an example is presented to illustrate the feasibility of the main results in this paper.http://dx.doi.org/10.1155/2020/8512183 |
| spellingShingle | Peiluan Li Liang Xu Peiyu Li Hui Wang Multiple Solution Results for Perturbed Fractional Differential Equations with Impulses Journal of Function Spaces |
| title | Multiple Solution Results for Perturbed Fractional Differential Equations with Impulses |
| title_full | Multiple Solution Results for Perturbed Fractional Differential Equations with Impulses |
| title_fullStr | Multiple Solution Results for Perturbed Fractional Differential Equations with Impulses |
| title_full_unstemmed | Multiple Solution Results for Perturbed Fractional Differential Equations with Impulses |
| title_short | Multiple Solution Results for Perturbed Fractional Differential Equations with Impulses |
| title_sort | multiple solution results for perturbed fractional differential equations with impulses |
| url | http://dx.doi.org/10.1155/2020/8512183 |
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