Stability of the time-dependent identification problem for a fractional Telegraph equation with the Caputo derivative

Stability of the time-dependent identification problem for a fractional Telegraph equation with the Caputo derivative

Авторлор

  • Radjabovich Institute of Mathematics named after V.I. RomanovskyInstitute of Mathematics named after V.I. Romanovsky
  • Alisherovich Institute of Mathematics named after V.I. Romanovsky

DOI:

https://doi.org/10.52754/16948645_2023_2_166

Ачкыч сөздөр:

The telegraph equation, Hilbert space, self-adjoint, positive operator, Caputo derivative

Аннотация

The  telegraph equation  , in a Hilbert space  is investigated. Here  is a self-adjoint, positive operator,  is the Caputo derivative. An inverse problem is considered in which, along with , also a time varying factor  of the source function is unknown. To solve this inverse problem, we take the additional condition with an arbitrary bounded linear functional .Existence and uniqueness theorem for the solution to the problem under consideration is proved. Inequalities of stability are obtained.

Библиографиялык шилтемелер

Pskhu A.V. Fractional Differential Equations. Moscow: NAUKA. 2005 [in Russian].

Ashyralyev.A., Al-Hazaimeh.M. Stability of the time-dependent identication problem for the Telegraph equation with involution, International Journal of Applied Mathematics, 35, 3, 447--459 ,(2022). DOI: https://doi.org/10.12732/ijam.v35i3.7

Cascaval. R., Eckstein.E., Frota.C., Goldstein.A.,, Fractional telegraph equations, J. Math. Anal. Appl. 276, 145-159 (2002). DOI: https://doi.org/10.1016/S0022-247X(02)00394-3

Жүктөөлөр

Жарыяланды

2023-12-30

Кандай шилтеме берүү керек

Ashurov , R., & Saparbayev, R. (2023). Stability of the time-dependent identification problem for a fractional Telegraph equation with the Caputo derivative: Stability of the time-dependent identification problem for a fractional Telegraph equation with the Caputo derivative. Ош мамлекеттик университетинин Жарчысы. Математика. Физика. Техника, (2(3), 166–169. https://doi.org/10.52754/16948645_2023_2_166

Саны (чыгарылыш)

№ 2(3) (2023): Ош мамлекеттик университетинин жарчысы. Математика. Физика. Техника

Бөлүм

МАТЕМАТИКА

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