No abstract

No abstract

We are concerned with the inverse problem of reconstructing a fractional integro‐differential equation from a single observation of its solution at an arbitrary point. We first prove the global existence of solutions generated by suitable initial conditions. For the inverse problem, we reconstruct the unknown coefficients, along with the fractional order α and the memory kernel as well by using methods of function theory.

No abstract

We are concerned with the inverse problem of recovering a third order Moore-Gibson-Thompson equation from a single observation of its solution at an arbitrary point. We show how to reconstruct its three unknown parameters and the memory kernel by using the Laplace transform.