On a generalization of fractional Langevin equation with boundary conditions
In this work, we consider a generalization of the nonlinear Langevin equation of fractional orders with boundary value conditions. The existence and uniqueness of solutions are studied by using the results of the fixed point theory. Moreover, the previous results of fractional Langevin equations are...
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| Format: | Article |
| Language: | English |
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AIMS Press
2022-01-01
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| Series: | AIMS Mathematics |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2022079?viewType=HTML |
| _version_ | 1798022182488506368 |
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| author | Zheng Kou Saeed Kosari |
| author_facet | Zheng Kou Saeed Kosari |
| author_sort | Zheng Kou |
| collection | DOAJ |
| description | In this work, we consider a generalization of the nonlinear Langevin equation of fractional orders with boundary value conditions. The existence and uniqueness of solutions are studied by using the results of the fixed point theory. Moreover, the previous results of fractional Langevin equations are a special case of our problem. |
| first_indexed | 2024-04-11T17:25:41Z |
| format | Article |
| id | doaj.art-6ac216477c2d43f3af6c6312830b062e |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-04-11T17:25:41Z |
| publishDate | 2022-01-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-6ac216477c2d43f3af6c6312830b062e2022-12-22T04:12:19ZengAIMS PressAIMS Mathematics2473-69882022-01-01711333134510.3934/math.2022079On a generalization of fractional Langevin equation with boundary conditionsZheng Kou0Saeed Kosari1Institute of Computing Science and Technology, Guangzhou university, Guangzhou, ChinaInstitute of Computing Science and Technology, Guangzhou university, Guangzhou, ChinaIn this work, we consider a generalization of the nonlinear Langevin equation of fractional orders with boundary value conditions. The existence and uniqueness of solutions are studied by using the results of the fixed point theory. Moreover, the previous results of fractional Langevin equations are a special case of our problem.https://www.aimspress.com/article/doi/10.3934/math.2022079?viewType=HTMLnonlinear langevin equationfractional orderexistence of solution |
| spellingShingle | Zheng Kou Saeed Kosari On a generalization of fractional Langevin equation with boundary conditions AIMS Mathematics nonlinear langevin equation fractional order existence of solution |
| title | On a generalization of fractional Langevin equation with boundary conditions |
| title_full | On a generalization of fractional Langevin equation with boundary conditions |
| title_fullStr | On a generalization of fractional Langevin equation with boundary conditions |
| title_full_unstemmed | On a generalization of fractional Langevin equation with boundary conditions |
| title_short | On a generalization of fractional Langevin equation with boundary conditions |
| title_sort | on a generalization of fractional langevin equation with boundary conditions |
| topic | nonlinear langevin equation fractional order existence of solution |
| url | https://www.aimspress.com/article/doi/10.3934/math.2022079?viewType=HTML |
| work_keys_str_mv | AT zhengkou onageneralizationoffractionallangevinequationwithboundaryconditions AT saeedkosari onageneralizationoffractionallangevinequationwithboundaryconditions |