Forward and Inverse Problems for a Langevin-Type Fractional Equation Involving Non-Local Time Condition
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866916836671488000 |
|---|---|
| author | Yusuf, Fayziev Shakhnoza, Jumaeva |
| author_facet | Yusuf, Fayziev Shakhnoza, Jumaeva |
| contents | The paper addresses the formulation and analysis of direct and inverse problems for a Langevin-type fractional differential equation under a non-local condition imposed on the time variable. An additional condition for solving the inverse problem has the form $u(t_0)=ω$. The existence and uniqueness of a solution to the problems are established, and stability inequalities are derived. Criteria ensuring the uniqueness of the solution are identified. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_07446 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Forward and Inverse Problems for a Langevin-Type Fractional Equation Involving Non-Local Time Condition Yusuf, Fayziev Shakhnoza, Jumaeva Analysis of PDEs 35R11, 34A12 The paper addresses the formulation and analysis of direct and inverse problems for a Langevin-type fractional differential equation under a non-local condition imposed on the time variable. An additional condition for solving the inverse problem has the form $u(t_0)=ω$. The existence and uniqueness of a solution to the problems are established, and stability inequalities are derived. Criteria ensuring the uniqueness of the solution are identified. |
| title | Forward and Inverse Problems for a Langevin-Type Fractional Equation Involving Non-Local Time Condition |
| topic | Analysis of PDEs 35R11, 34A12 |
| url | https://arxiv.org/abs/2507.07446 |