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Andrea Adriani, Stefano Serra-Capizzano and Cristina Tablino-Possio
We consider the Helmholtz equation and the fractional Laplacian in the case of the complex-valued unbounded variable coefficient wave number μ" role="presentation" style="position: relative;">??µ
µ
, approximated by finite differences. In a rec...
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Haixia Jin, Jingjing Peng, Rutian Bi, Huiwen Tian, Hongfen Zhu and Haoxi Ding
Mapping soil organic carbon (SOC) accurately is essential for sustainable soil resource management. Hyperspectral data, a vital tool for SOC mapping, is obtained through both laboratory and satellite-based sources. While laboratory data is limited to sam...
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Yunkang Du and Zuoliang Xu
In this paper, we recover the European option volatility function σ(t)" role="presentation">??(??)s(t)
s
(
t
)
of the underlying asset and the fractional order α" role="presentation" style="position: relative;">??a
a
of the time fra...
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Liliya A. Demidova, Dmitry O. Zhukov, Elena G. Andrianova and Alexander S. Sigov
This paper explores the social dynamics of processes in complex systems involving humans by focusing on user activity in online media outlets. The R/S analysis showed that the time series of the processes under consideration are fractal and anti-persiste...
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Roman Lewandowski, Olga Kawa and Robert Studzinski
The new method for the determination of the dynamic characteristics of reticulated domes is proposed. Reticulated domes are built of composite rods. Each rod contains two layers made of elastic and viscoelastic materials, respectively. The viscoelastic m...
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Ali Akbar Kekha Javan, Assef Zare and Roohallah Alizadehsani
This study investigates multiple synchronizations of distributed fractional-order chaotic systems. These systems consider unknown parameters, disturbance, and time delays. A robust adaptive control method is designed for multistage distributed fractional...
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Lorina I. Badger-Emeka, Promise Madu Emeka and Hairul Islam M. Ibrahim
Methicillin-resistant Staphylococcus aureus (MRSA) infection is detrimental to hospitalized patients. With diminishing choices of antibiotics and the worry about resistance to colistin in synergistic combined therapy, there are suggestions for the use of...
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Yusho Kagraoka
In option pricing models with correlated stochastic processes, an option premium is commonly a solution to a partial differential equation (PDE) with mixed derivatives in more than two space dimensions. Alternating direction implicit (ADI) finite differe...
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Bakhtiyor Khuzhayorov, Azizbek Usmonov, N.M.A. Nik Long and Bekzodjon Fayziev
In this paper, a problem of anomalous solute transport in a coaxial cylindrical two-zone porous medium with fractal structure is posed and numerically solved. The porous medium is studied in the form of cylinder with two parts: macropore?with high permea...
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Khalid Hattaf
This paper proposes a new definition of fractional derivative with non-singular kernel in the sense of Caputo which generalizes various forms existing in the literature. Furthermore, the version in the sense of Riemann?Liouville is defined. Moreover, fun...
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