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A comparative study on solving fractional cubic isothermal auto-catalytic chemical system via new efficient technique

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  • BİLDİK, Necdet
  • DENİZ, Sinan
  • SAAD, Khaled M.

Abstract

In this paper, we examine a cubic isothermal auto-catalytic chemical system (CIACS) with the help of the newly developed technique. Classical model of this system is transformed into a new fractional forms by using three different and special fractional operators. The new model is therefore called as fractional cubic isothermal auto-catalytic chemical system (FCIACS). Then, the new systems are solved by optimal perturbation iteration method. Obtained results are compared to get an idea about the new derivative operators and optimal perturbation iteration method.

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  • BİLDİK, Necdet & DENİZ, Sinan & SAAD, Khaled M., 2020. "A comparative study on solving fractional cubic isothermal auto-catalytic chemical system via new efficient technique," Chaos, Solitons & Fractals, Elsevier, vol. 132(C).
    • Handle: RePEc:eee:chsofr:v:132:y:2020:i:c:s0960077919305120
    DOI: 10.1016/j.chaos.2019.109555
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    References listed on IDEAS

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    4. Ravichandran, C. & Logeswari, K. & Jarad, Fahd, 2019. "New results on existence in the framework of Atangana–Baleanu derivative for fractional integro-differential equations," Chaos, Solitons & Fractals, Elsevier, vol. 125(C), pages 194-200.
    5. Agarwal, P. & El-Sayed, A.A., 2018. "Non-standard finite difference and Chebyshev collocation methods for solving fractional diffusion equation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 500(C), pages 40-49.
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    Cited by:

    1. Saad, Khaled M. & Gómez-Aguilar, J.F. & Almadiy, Abdulrhman A., 2020. "A fractional numerical study on a chronic hepatitis C virus infection model with immune response," Chaos, Solitons & Fractals, Elsevier, vol. 139(C).

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