On coupled system of nonlinear hybrid differential equation with arbitrary order

Nonlinear differential equations are crucial tools in the modeling of nonlinear real phenomena corresponding to a great variety of events, in relation with several fields of the physical sciences and technology [1]. For instance, they appear in the study of the air motion or the fluid dynamics, electricity, electromagnetism or the control of nonlinear process, among others [2]. The resolution of nonlinear differential equations requires, in general, the development of differential techniques in order to deduce the existence and other essential properties of the solutions. There are still many open problems related the solvability of nonlinear system, apart from the fact this is a field where advances are continuously taking place.