A fractional order pine wilt disease model with Caputo–Fabrizio derivative
نویسندگان
چکیده
منابع مشابه
Pine wilt disease – a threat to pine forest in Europe
Pine wilt disease caused by pine wood nematodes is endemic to North America. Pine wood nematodes have already spread to East Asia, including China, Taiwan and Korea in addition to Japan. The pine wood nematode, Bursaphelenchus xylophilus, was discovered in Portuguese pine forests in 1999. If it were to become established in the pine forests in Europe, it could become one of the most serious thr...
متن کاملHistory of pine wilt disease in Japan.
Pine wilt disease induced by the pinewood nematode, Bursaphelenchus xylophilus, is a great threat to pine forests in Japan. The first occurrence of the disease was reported in Nagasaki, Kyushu. During the 1930s the disease occurrence was extended in 12 prefectures, and in the 1940s the disease was found in 34 prefectures. The annual loss of pine trees increased from 30,000 m(3) to 1.2 million m...
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Characteristic rapid death of pines after infection by Bursaphelenchus xylophilus suggests the involvement of phytotoxins in the pine wilt disease syndrome. Crude extract from diseased pine is toxic to pine seedlings, whereas an extract from healthy pine is not. The response of seedlings to the crude toxin is more prominent in susceptible pine species than in resistant ones. Benzoic acid, catec...
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Although many mathematicians have searched on the fractional calculus since many years ago, but its application in engineering, especially in modeling and control, does not have many antecedents. Since there are much freedom in choosing the order of differentiator and integrator in fractional calculus, it is possible to model the physical systems accurately. This paper deals with time-domain id...
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In this article using the inverse Laplace transform, we show analytical solutions for the generalized mass transfers with (and without) a chemical reaction. These transfers have been expressed as the Couette flow with the fractional derivative of the Caputo sense. Also, using the Hankel contour for the Bromwich's integral, the solutions are given in terms of the generalized Airy functions.
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ژورنال
عنوان ژورنال: Advances in Difference Equations
سال: 2018
ISSN: 1687-1847
DOI: 10.1186/s13662-018-1868-4