A nonlinear with an to chaos attractor

In this paper, a general system of quadratically perturbed system of modified fractional differential equations (FDEs) is considered for the solution existence, solution uniqueness, stability results, numerical scheme and computational applications. The presumed perturbed system is more general and several preexisting problems become its special cases. Fixed point results are applied for the theoretical results. The Lagrange's polynomial is used to approximate the nonlinear system and a useful numerical scheme is established. For an application, a complex system of chaotic attractor is given and is computational studied via some graphical presentation.