NABLA FRACTIONAL EXTENDED LORENTZ OSCILLATOR AND ITS STABILITY
The optical properties of the system may undergo some modifications in the presence of optical field. Depending on the strength of the field the system response maybe nonlinear. The Lorentz model representing the interaction between charge of the electron and electric field is considered in this work. The uniqueness of the solution of discrete time nabla fractional order version of Lorentz model of an atom is established using contraction mapping principle. Stability of the equation is analysed in the sense of Ulam and Hyers. Theoretical results are verified using an example and simulation.
fractional order, discrete, uniqueness, Hyers-Ulam stability, nabla operator.