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New insight kinetic modeling: Models above classical chemical mechanic

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  • Atangana, Ernestine

Abstract

New trends of differential operators have been suggest very recently and have been proven to be accurate in modeling real world problems in many fields of science. We present in this paper some kinetic reaction model where the process does not follow the classical law of chemical mechanic. We present kinetic reactions where the processes follow the power law, exponential decay law and crossover behavior from exponential to power law. Analytical technique were used where the model is linear and new numerical where the model is non-linear. Results obtained here are very closer to reality than those models designed with classical chemical mechanic.

Suggested Citation

  • Atangana, Ernestine, 2019. "New insight kinetic modeling: Models above classical chemical mechanic," Chaos, Solitons & Fractals, Elsevier, vol. 128(C), pages 16-24.
    • Handle: RePEc:eee:chsofr:v:128:y:2019:i:c:p:16-24
    DOI: 10.1016/j.chaos.2019.07.013
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    References listed on IDEAS

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    1. Atangana, Abdon, 2018. "Non validity of index law in fractional calculus: A fractional differential operator with Markovian and non-Markovian properties," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 505(C), pages 688-706.
    2. Atangana, Abdon & Gómez-Aguilar, J.F., 2018. "Fractional derivatives with no-index law property: Application to chaos and statistics," Chaos, Solitons & Fractals, Elsevier, vol. 114(C), pages 516-535.
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    Cited by:

    1. ARAZ, Seda İĞRET, 2020. "Numerical analysis of a new volterra integro-differential equation involving fractal-fractional operators," Chaos, Solitons & Fractals, Elsevier, vol. 130(C).

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