The integral inequalities have many applications in the mathematics, applications in the ordinary differential equations, partial differential equations, integro-differential equations, fractional differential equations, etc. From these applications, finding the global existence, uniqueness, stability of solutions and other types of applications.
Non-linear differential equations appear prominently in the study of dynamical control systems, chaotic dynamical systems etc. Chaotic behavior study is very important in the nonlinear dynamical system theory and design.In this thesis, a new scheme and procedure for nonlinear dynamical control system design are proposed and developed. The proposed scheme is based on some suggested theorems. The proofs of the presented Theorems as well as their computational algorithm have been developed and presented.
