In the current paper, we are interested in studying the time-dependent inverse source problem for the space-degenerate fractional Langevin-type PDE involving a bi-ordinal Hilfer fractional derivative. Sufficient conditions for the given data were established for the existence and uniqueness of the solution. The technique for showing the existence result is based on the uniform convergence of the series.
| Mualliflar | Bakhodirjon Toshtemirov, Баходиржон Тоштемиров, Bakhodirjon Toshtemirov |
|---|---|
| Jurnal | Research Focus |
| Nashriyot | Ветеринария ИТИ ва “Илм-фан ва инновациялар академияси” МЧЖ |
| ISSN | 2181-3833 |
| Nashr sanasi | 2025-07-06 |
| Jild | 4 |
| Son | 6 |
| Betlar | 8-14 |
| Til | Ingliz |
| Ilmiy soha | Veterinariya |
| DOI | 10.66073/researchfocus.v4i6.1664 |
| Indeksga qo‘shilgan | 2026-09-08 |
DOI: 10.66073/researchfocus.v4i6.1664 · Maqolaning asl sahifasi
бипорядковая дробная производная Хильфера, ряд Фурье- Лежандра, зависящая от времени обратная задача источника, bi-ordinal Hilfer fractional derivative, Fourier-Legendre series, time-dependent inverse source problem, bi-ordinal Hilfer kasr tartibli hosilasi, Fourier-Legendre qatori, vaqtga bog'liq teskari manba masalasi
| APA | Bakhodirjon Toshtemirov, Баходиржон Тоштемиров, & Bakhodirjon Toshtemirov (2025). RECOVERY OF A TIME-DEPENDENT SOURCE IN A FRACTIONAL LANGEVIN EQUATION. Research Focus, 4(6), 8-14. https://doi.org/10.66073/researchfocus.v4i6.1664 |
|---|---|
| GOST (OAK) | Bakhodirjon Toshtemirov, Баходиржон Тоштемиров, Bakhodirjon Toshtemirov RECOVERY OF A TIME-DEPENDENT SOURCE IN A FRACTIONAL LANGEVIN EQUATION // Research Focus. – 2025. – T. 4, № 6. – P. 8-14. – DOI: 10.66073/researchfocus.v4i6.1664. |
| MLA | Bakhodirjon Toshtemirov, Баходиржон Тоштемиров, and Bakhodirjon Toshtemirov. “RECOVERY OF A TIME-DEPENDENT SOURCE IN A FRACTIONAL LANGEVIN EQUATION.” Research Focus, 4(6), 8-14, 2025. https://doi.org/10.66073/researchfocus.v4i6.1664 |
| Chicago | Bakhodirjon Toshtemirov, Баходиржон Тоштемиров, and Bakhodirjon Toshtemirov. “RECOVERY OF A TIME-DEPENDENT SOURCE IN A FRACTIONAL LANGEVIN EQUATION.” Research Focus, 4(6), 8-14 (2025). https://doi.org/10.66073/researchfocus.v4i6.1664 |
| Harvard | Bakhodirjon Toshtemirov, Баходиржон Тоштемиров, and Bakhodirjon Toshtemirov (2025) ‘RECOVERY OF A TIME-DEPENDENT SOURCE IN A FRACTIONAL LANGEVIN EQUATION’, Research Focus, 4(6), 8-14. https://doi.org/10.66073/researchfocus.v4i6.1664 |
| BibTeX | @article{bakhodirjontoshtemirov2025,
title = {RECOVERY OF A TIME-DEPENDENT SOURCE IN A FRACTIONAL LANGEVIN EQUATION},
author = {Bakhodirjon Toshtemirov and Баходиржон Тоштемиров and Bakhodirjon Toshtemirov},
journal = {Research Focus},
year = {2025},
volume = {4},
number = {6},
pages = {8-14},
doi = {10.66073/researchfocus.v4i6.1664},
url = {https://doi.org/10.66073/researchfocus.v4i6.1664}
} |
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