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

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  • Veeresha, P.

Abstract

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.

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  • Veeresha, P., 2022. "The efficient fractional order based approach to analyze chemical reaction associated with pattern formation," Chaos, Solitons & Fractals, Elsevier, vol. 165(P2).
    • Handle: RePEc:eee:chsofr:v:165:y:2022:i:p2:s0960077922010414
    DOI: 10.1016/j.chaos.2022.112862
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    References listed on IDEAS

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    1. Ying Yang & Daqing Jiang & Donal O’Regan & Ahmed Alsaedi, 2020. "Dynamics of the Stochastic Belousov-Zhabotinskii Chemical Reaction Model," Mathematics, MDPI, vol. 8(5), pages 1-13, April.
    2. Ravichandran, C. & Sowbakiya, V. & Nisar, Kottakkaran Sooppy, 2022. "Study on existence and data dependence results for fractional order differential equations," Chaos, Solitons & Fractals, Elsevier, vol. 160(C).
    3. Nisar, Kottakkaran Sooppy & Jothimani, K. & Kaliraj, K. & Ravichandran, C., 2021. "An analysis of controllability results for nonlinear Hilfer neutral fractional derivatives with non-dense domain," Chaos, Solitons & Fractals, Elsevier, vol. 146(C).
    4. Kottakkaran Sooppy Nisar & C. Ravichandran & Abdel-Haleem Abdel-Aty & Ibrahim S. Yahia & Choonkil Park, 2022. "Case Study On Total Controllability And Optimal Control Of Hilfer Neutral Non-Instantaneous Fractional Derivative," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 30(05), pages 1-17, August.
    5. Kalimuthu, K. & Mohan, M. & Chokkalingam, R. & Nisar, Kottakkaran Sooppy, 2022. "Results on neutral differential equation of sobolev type with nonlocal conditions," Chaos, Solitons & Fractals, Elsevier, vol. 158(C).
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    Cited by:

    1. Guirao, Juan Luis García & Alsulami, Mansoor & Baskonus, Haci Mehmet & Ilhan, Esin & Veeresha, P., 2023. "Analysis of nonlinear compartmental model using a reliable method," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 214(C), pages 133-151.
    2. Karimov, Artur & Kopets, Ekaterina & Karimov, Timur & Almjasheva, Oksana & Arlyapov, Viacheslav & Butusov, Denis, 2023. "Empirically developed model of the stirring-controlled Belousov–Zhabotinsky reaction," Chaos, Solitons & Fractals, Elsevier, vol. 176(C).
    3. Ali, Khalid K. & Wazwaz, Abdul-Majid & Maneea, M., 2024. "Efficient solutions for fractional Tsunami shallow-water mathematical model: A comparative study via semi analytical techniques," Chaos, Solitons & Fractals, Elsevier, vol. 178(C).

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