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Angel Golev, Snezhana Hristova and Asen Rahnev
In this paper an algorithm for approximate solving of a boundary value problem for a nonlinear differential equation with a special type of fractional derivative is suggested. This derivative is called a generalized proportional Caputo fractional derivat...
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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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Francesca Pitolli, Chiara Sorgentone and Enza Pellegrino
Differential problems with the Riesz derivative in space are widely used to model anomalous diffusion. Although the Riesz?Caputo derivative is more suitable for modeling real phenomena, there are few examples in literature where numerical methods are use...
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Azam Ahadi, Zahra Eidinejad, Reza Saadati and Donal O?Regan
We define a new control function to approximate a stochastic fractional Volterra IDE using the concept of modular-stability.
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Akihiro Takeshita, Tomohiro Yamashita, Natsuki Kawaguchi and Masaharu Kuroda
The present study uses linear quadratic regulator (LQR) theory to control a vibratory system modeled by a fractional-order differential equation. First, as an example of such a vibratory system, a viscoelastically damped structure is selected. Second, a ...
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Andreas Rauh
The electric power characteristic of solid oxide fuel cells (SOFCs) depends on numerous influencing factors. These are the mass flow of supplied hydrogen, the temperature distribution in the interior of the fuel cell stack, the temperatures of the suppli...
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Amer Darweesh, Marwan Alquran and Khawla Aghzawi
In this paper, we present a robust algorithm to solve numerically a family of two-dimensional fractional integro differential equations. The Haar wavelet method is upgraded to include in its construction the Laplace transform step. This modification has ...
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Ravi Agarwal, Snezhana Hristova, Donal O?Regan and Kremena Stefanova
The initial value problem for a special type of scalar nonlinear fractional differential equation with a Riemann?Liouville fractional derivative is studied. The main characteristic of the equation is the presence of the supremum of the unknown function o...
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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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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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