Inverse source problem for the pseudo-parabolic equation associated with the Jacobi operator

TL;DR

This paper studies direct and inverse problems for time-fractional pseudo-parabolic equations linked to the Jacobi operator, proving existence, uniqueness, and stability of solutions for the inverse source problem.

Contribution

It introduces new results on the stability of inverse source problems for fractional pseudo-parabolic equations with Jacobi operators.

Findings

Existence and uniqueness of solutions are established.

Stability of the inverse source problem is proved.

Results contribute to mathematical understanding of fractional pseudo-parabolic equations.

Abstract

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