Existence and stability analysis of solutions for a new kind of boundary value problems of nonlinear fractional differential equations
This research work is dedicated to an investigation for a new kind of boundary value problem of nonlinear fractional differential equation supplemented with general boundary condition. A full analysis of existence and uniqueness of positive solutions is respectively proved by Leray–Schauder nonline...
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| Format: | Article |
| Language: | English |
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Vilnius University Press
2022-10-01
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| Series: | Nonlinear Analysis |
| Subjects: | |
| Online Access: | https://www.zurnalai.vu.lt/nonlinear-analysis/article/view/29420 |
| _version_ | 1811255335707475968 |
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| author | Weiwei Liu Lishan Liu |
| author_facet | Weiwei Liu Lishan Liu |
| author_sort | Weiwei Liu |
| collection | DOAJ |
| description |
This research work is dedicated to an investigation for a new kind of boundary value problem of nonlinear fractional differential equation supplemented with general boundary condition. A full analysis of existence and uniqueness of positive solutions is respectively proved by Leray–Schauder nonlinear alternative theorem and Boyd–Wong’s contraction principles. Furthermore, we prove the Hyers–Ulam (HU) stability and Hyers–Ulam–Rassias (HUR) stability of solutions. An example illustrating the validity of the existence result is also discussed.
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| first_indexed | 2024-04-12T17:22:18Z |
| format | Article |
| id | doaj.art-320f8aaf88324170a42296b26d6d2d95 |
| institution | Directory Open Access Journal |
| issn | 1392-5113 2335-8963 |
| language | English |
| last_indexed | 2024-04-12T17:22:18Z |
| publishDate | 2022-10-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Nonlinear Analysis |
| spelling | doaj.art-320f8aaf88324170a42296b26d6d2d952022-12-22T03:23:25ZengVilnius University PressNonlinear Analysis1392-51132335-89632022-10-0127610.15388/namc.2022.27.29420Existence and stability analysis of solutions for a new kind of boundary value problems of nonlinear fractional differential equationsWeiwei Liu0Lishan Liu1Qufu Normal UniversityQufu Normal University This research work is dedicated to an investigation for a new kind of boundary value problem of nonlinear fractional differential equation supplemented with general boundary condition. A full analysis of existence and uniqueness of positive solutions is respectively proved by Leray–Schauder nonlinear alternative theorem and Boyd–Wong’s contraction principles. Furthermore, we prove the Hyers–Ulam (HU) stability and Hyers–Ulam–Rassias (HUR) stability of solutions. An example illustrating the validity of the existence result is also discussed. https://www.zurnalai.vu.lt/nonlinear-analysis/article/view/29420fixed point theoremfractional differential equationsexistenceuniquenessstability |
| spellingShingle | Weiwei Liu Lishan Liu Existence and stability analysis of solutions for a new kind of boundary value problems of nonlinear fractional differential equations Nonlinear Analysis fixed point theorem fractional differential equations existence uniqueness stability |
| title | Existence and stability analysis of solutions for a new kind of boundary value problems of nonlinear fractional differential equations |
| title_full | Existence and stability analysis of solutions for a new kind of boundary value problems of nonlinear fractional differential equations |
| title_fullStr | Existence and stability analysis of solutions for a new kind of boundary value problems of nonlinear fractional differential equations |
| title_full_unstemmed | Existence and stability analysis of solutions for a new kind of boundary value problems of nonlinear fractional differential equations |
| title_short | Existence and stability analysis of solutions for a new kind of boundary value problems of nonlinear fractional differential equations |
| title_sort | existence and stability analysis of solutions for a new kind of boundary value problems of nonlinear fractional differential equations |
| topic | fixed point theorem fractional differential equations existence uniqueness stability |
| url | https://www.zurnalai.vu.lt/nonlinear-analysis/article/view/29420 |
| work_keys_str_mv | AT weiweiliu existenceandstabilityanalysisofsolutionsforanewkindofboundaryvalueproblemsofnonlinearfractionaldifferentialequations AT lishanliu existenceandstabilityanalysisofsolutionsforanewkindofboundaryvalueproblemsofnonlinearfractionaldifferentialequations |