Uniqueness and Ulam–Hyers–Rassias stability results for sequential fractional pantograph q-differential equations

Abstract

Abstract We study sequential fractional pantograph q -differential equations. We establish the uniqueness of solutions via Banach’s contraction mapping principle. Further, we define and study the Ulam–Hyers stability and Ulam–Hyers–Rassias stability of solutions. We also discuss an illustrative example.