RECOVERY OF A TIME-DEPENDENT SOURCE IN A FRACTIONAL LANGEVIN EQUATION

Toshtemirov, Bakhodirjon

doi:10.66073/researchfocus.v4i6.1664

ARTICLE 2025 Vol 4 · No 6 EN 06d947f8c081

RECOVERY OF A TIME-DEPENDENT SOURCE IN A FRACTIONAL LANGEVIN EQUATION

Bakhodirjon Toshtemirov Kokand University, Uzbekistan.

Research Focus International Scientific Journal, 4(6), 8–14 · ISSN 2181-3833

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Abstract

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.

Keywords

bi-ordinal Hilfer fractional derivative Fourier-Legendre series time-dependent inverse source problem

How to cite

Toshtemirov, Bakhodirjon (2025). RECOVERY OF A TIME-DEPENDENT SOURCE IN A FRACTIONAL LANGEVIN EQUATION. Research Focus International Scientific Journal, 4(6), 8–14. https://doi.org/10.66073/researchfocus.v4i6.1664

Identifier: https://rf-library.uz/article/06d947f8c081/recovery-of-a-time-dependent-source-in-a-fractional-langevin-equation
DOI: 10.66073/researchfocus.v4i6.1664
Publisher: LLC Ilm-fan va innovatsiyalar akademiyasi
Added to repository: 2026-08-07