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

Abstract

Abstract 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.

Keywords

• Jacobi operator
• Jacobi transform
• Time-fractional pseudoparabolic equation
• Inverse source problem