Inverse problems of determining sources of the fractional partial differential equations

Abstract

In this chapter, we mainly review theoretical results on inverse source problems for diffusion equations with the Caputo time-fractional derivatives of order α ∈ (0, 1). Our survey covers the following types of inverse problems: • determination of time-dependent functions in interior source terms • determination of space-dependent functions in interior source terms • determination of time-dependent functions appearing in boundary conditions