Recovery of a time-dependent source in a fractional langevin equation

Bakhodirjon Toshtemirov, Баходиржон Тоштемиров, Bakhodirjon Toshtemirov

Research Focus · 2025-yil

Annotatsiya

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.

Maqola ma’lumotlari
MualliflarBakhodirjon Toshtemirov, Баходиржон Тоштемиров, Bakhodirjon Toshtemirov
JurnalResearch Focus
NashriyotВетеринария ИТИ ва “Илм-фан ва инновациялар академияси” МЧЖ
ISSN2181-3833
Nashr sanasi2025-07-06
Jild4
Son6
Betlar8-14
TilIngliz
Ilmiy sohaVeterinariya
DOI10.66073/researchfocus.v4i6.1664
Indeksga qo‘shilgan2026-09-08

Kalit so‘zlar

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

Ilmiy soha

Iqtibos keltirish

APABakhodirjon 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.
MLABakhodirjon 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
ChicagoBakhodirjon 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
HarvardBakhodirjon 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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