Existence, Stability and Numerical Analysis of a Fractional Neutral Implicit Delay Differential System With an Exponential Kernel

Abstract

This article addresses the existence, uniqueness and stability analysis for various classes of implicit fractional neutral delay (finite and infinite) differential systems (IFNDDSs) employing the Caputo-Fabrizio operator (CFO). The findings rely on the application of specific fixedpoint theorems. Additionally, illustrative numerical examples are presented in the concluding section to clarify and demonstrate the derived results.