Stability of solution of some fractional order delayed differential equations

In this study, sufficient conditions for the asymptotic stability of the solutions of delayed neutral differential equations, which are a special type of delayed differential equations, are investigated. These equations, which are time-varying and have unlimited delays with respect to time, are considered using fractional order. In order to compare the obtained results, the problems are expressed as convex optimization problems and the solutions of these optimization problems are obtained using the LMI Toolbox package of the Matlab program. In addition, delayed singular systems are modeled as delayed neutral differential equation systems and some conditions for the stability of these systems are presented.