Multiplicity of solutions for the Dirichlet boundary value problem to a fractional quasilinear differential model with impulses
Abstract This paper aims to consider the multiplicity of solutions for a kind of boundary value problem to a fractional quasilinear differential model with impulsive effects. By establishing a new variational structure and overcoming the difficulties brought by the influence of impulsive effects, so...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-08-01
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| Series: | Boundary Value Problems |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13661-022-01643-9 |
| _version_ | 1798004410676150272 |
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| author | Xiaohui Shen Tengfei Shen |
| author_facet | Xiaohui Shen Tengfei Shen |
| author_sort | Xiaohui Shen |
| collection | DOAJ |
| description | Abstract This paper aims to consider the multiplicity of solutions for a kind of boundary value problem to a fractional quasilinear differential model with impulsive effects. By establishing a new variational structure and overcoming the difficulties brought by the influence of impulsive effects, some new results are acquired via the symmetry mountain-pass theorem, which extend and enrich some previous results. |
| first_indexed | 2024-04-11T12:24:20Z |
| format | Article |
| id | doaj.art-0d2cfa5af77c46d2afaaae125660ff79 |
| institution | Directory Open Access Journal |
| issn | 1687-2770 |
| language | English |
| last_indexed | 2024-04-11T12:24:20Z |
| publishDate | 2022-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Boundary Value Problems |
| spelling | doaj.art-0d2cfa5af77c46d2afaaae125660ff792022-12-22T04:24:00ZengSpringerOpenBoundary Value Problems1687-27702022-08-012022111410.1186/s13661-022-01643-9Multiplicity of solutions for the Dirichlet boundary value problem to a fractional quasilinear differential model with impulsesXiaohui Shen0Tengfei Shen1Department of Health Statistics, Xuzhou Medical UniversitySchool of Mathematics, China University of Mining and TechnologyAbstract This paper aims to consider the multiplicity of solutions for a kind of boundary value problem to a fractional quasilinear differential model with impulsive effects. By establishing a new variational structure and overcoming the difficulties brought by the influence of impulsive effects, some new results are acquired via the symmetry mountain-pass theorem, which extend and enrich some previous results.https://doi.org/10.1186/s13661-022-01643-9Fractional differential equationBoundary value problemMultiplicityImpulsive effect |
| spellingShingle | Xiaohui Shen Tengfei Shen Multiplicity of solutions for the Dirichlet boundary value problem to a fractional quasilinear differential model with impulses Boundary Value Problems Fractional differential equation Boundary value problem Multiplicity Impulsive effect |
| title | Multiplicity of solutions for the Dirichlet boundary value problem to a fractional quasilinear differential model with impulses |
| title_full | Multiplicity of solutions for the Dirichlet boundary value problem to a fractional quasilinear differential model with impulses |
| title_fullStr | Multiplicity of solutions for the Dirichlet boundary value problem to a fractional quasilinear differential model with impulses |
| title_full_unstemmed | Multiplicity of solutions for the Dirichlet boundary value problem to a fractional quasilinear differential model with impulses |
| title_short | Multiplicity of solutions for the Dirichlet boundary value problem to a fractional quasilinear differential model with impulses |
| title_sort | multiplicity of solutions for the dirichlet boundary value problem to a fractional quasilinear differential model with impulses |
| topic | Fractional differential equation Boundary value problem Multiplicity Impulsive effect |
| url | https://doi.org/10.1186/s13661-022-01643-9 |
| work_keys_str_mv | AT xiaohuishen multiplicityofsolutionsforthedirichletboundaryvalueproblemtoafractionalquasilineardifferentialmodelwithimpulses AT tengfeishen multiplicityofsolutionsforthedirichletboundaryvalueproblemtoafractionalquasilineardifferentialmodelwithimpulses |