Stability of Nonlinear Fractional Delay Differential Equations

Abstract

This article discusses several forms of Ulam stability of nonlinear fractional delay differential equations. Our investigation is based on a generalised Gronwall’s inequality and Picard operator theory. Implementations are provided to demonstrate the stability results obtained for finite intervals.

Keywords

• Ulam–Hyers stability
• delay differential equations
• fractional nonlinear differential equations