The efficient fractional order based approach to analyze chemical reaction associated with pattern formation

The investigation of the nonlinear models and their complex nature with generalized theory associated to material and history-based properties is a motivation for the present work. The mathematical model describing the chemical reaction, namely Belousov–Zhabotinsky (BZ) reaction is examined in the present work using the efficient numerical method. For the obtained numerical results, the change of color and patterns formation is presented in a different order. The impact of the rate change is presented for the diverse associated parameters. For the considered system, the boundedness, stability, existence, and other dynamical conditions are derived. The consequences of generalizing the model within the fractional order are derived. The present study helps researchers to investigate complex real world problems and predict the corresponding plans to be made using the efficient approach. •We analyzed two mathematical model describing the chemical reaction (BZ reaction).•The stability and convergences analysis are conducted for the system.•The efficient numerical method is applied to the system to demonstrator its nature.•The complexity of the obtained numerical results is illustrated with all the possible cases.