Contribution of Bacillus cereus ERBP in ozone detoxification by Zamioculcas zamiifolia plants: Effect of ascorbate peroxidase, catalase and total flavonoid contents for ozone detoxification
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Author list: Pheomphun P., Treesubsuntorn C., Jitareerat P., Thiravetyan P.
Publisher: MDPI AG
Publication year: 2019
Volume number: 171
Start page: 805
End page: 812
Number of pages: 8
ISSN: 2079-9292
eISSN: 2079-9292
Languages: English-Great Britain (EN-GB)
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Abstract
In the current paper, fractional-order hyperbolic telegraph equations are considered for analytical solutions, using the decomposition method based on natural transformation. The fractional derivative is defined by the Caputo operator. The present technique is implemented for both fractionaland integer-order equations, showing that the current technique is an accurate analytical instrument for the solution of partial differential equations of fractional-order arising in all branches of applied sciences. For this purpose, several examples related to hyperbolic telegraph models are presented to explain the procedure of the suggested method. It is noted that the procedure of the present technique is simple, straightforward, accurate, and found to be a better mathematical technique to solve non-linear fractional partial differential equations. ฉ 2019 by the authors. Licensee MDPI, Basel, Switzerland.
Keywords
Hyperbolic telegraph equation, Natural transform
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