Inverse source problem for the pseudoparabolic equation associated with the Jacobi operator

In this paper, we investigate direct and inverse problems for time-fractional pseudoparabolic equations associated with the Jacobi operator. The existence and uniqueness of the solutions are proven. Also, the stability result of the inverse source problem (ISP) is established. © The Author(s) 2024.

Detalhes bibliográficos
Autores: Bekbolat, B., Tokmagambetov, N.
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2024
País:España
Recursos:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Repositorio:Recercat. Dipósit de la Recerca de Catalunya
OAI Identifier:oai:recercat.cat:2072/537568
Acesso em linha:http://hdl.handle.net/2072/537568
Access Level:acceso abierto
Palavra-chave:Inverse source problem
Jacobi operator
Jacobi transform
Time-fractional pseudoparabolic equation
Descrição
Resumo:In this paper, we investigate direct and inverse problems for time-fractional pseudoparabolic equations associated with the Jacobi operator. The existence and uniqueness of the solutions are proven. Also, the stability result of the inverse source problem (ISP) is established. © The Author(s) 2024.