Some New Results on Impulsive Neutral Volterra-Fredholm Integro Differential Equations

The primary purpose of this study is to develop the impulsive neutral Volterra-Fredholm integro-differential equation using an iterative technique in order to obtain comprehensive analytical results. Using the topological degree technique, we define sufficient and necessary conditions for the existence of solutions to the given dynamical system. To further support these conclusions, we use Gronwall's inequality, which is required for establishing the uniqueness of the solutions under specific situations. Numerical calculations are also used to demonstrate the theoretical findings and assess their precision and applicability. These calculations show how effective the suggested technique is.