Initial and Terminal Value Problems of R-Liouville Fractional Differential Equations of Variable Order

In this chapter, we will study different types of variable order R-Liouville initial and terminal value problems (multiterm, implicit, etc.) with different conditions (fractional variable order initial and terminal conditions, finite delay, etc.), we will focus on the investigation of the existence, uniqueness and stability of solutions, we will use many techniques, such as Green&s;s function and some fixed point theorems such as Krasnoselskii, Banach, Schaefer, and Darbo along with Kuratowski&s;s measure of noncompactness.