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

Title

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

Creator

Veeresha P.

Description

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 BelousovZhabotinsky (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. 2022 Elsevier Ltd

Source

Chaos, Solitons and Fractals, Vol-165

Date

2022-01-01

Publisher

Elsevier Ltd

Subject

BelousovZhabotinsky reaction; Caputo fractional derivative; Chaotic behaviors; Numerical method

Coverage

Veeresha P., Centre for Mathematical Needs, Department of Mathematics, CHRIST (Deemed to be University), Bengaluru, 560029, India

Rights

Restricted Access

Relation

ISSN: 9600779; CODEN: CSFOE

Format

Online

Language

English

Type

Article

Identifier

https://doi.org/10.1016/j.chaos.2022.112862

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