Study of low-dimensional nonlinear fractional difference equations of complex order
DD Joshi, PM Gade, S Bhalekar - Chaos: An Interdisciplinary Journal …, 2022 - pubs.aip.org
We study the fractional maps of complex order, α 0 eir π/2, for 0< α 0< 1 and 0≤ r< 1 in
one and two dimensions. In two dimensions, we study Hénon, Duffing, and Lozi maps, and …
one and two dimensions. In two dimensions, we study Hénon, Duffing, and Lozi maps, and …
Fractional order, state space model of the temperature field in the PCB plate
In the paper the fractional order, state space model of a temperature field in a two-
dimensional metallic surface is addressed. The proposed model is the two dimensional …
dimensional metallic surface is addressed. The proposed model is the two dimensional …
Nonlinear finite-speed thermoelasticity with physically possible fractional orders for wave propagation, reflection, and mixing analyses in annular discs with initial …
M Shariyat, AM Sedaghat - Acta Mechanica, 2022 - Springer
Nonlinear fraction-order finite-speed refined Lord–Shulman (LS) thermoelastic wave
propagation, reflection, and mixing analyses are accomplished here for rotating annular …
propagation, reflection, and mixing analyses are accomplished here for rotating annular …
Computational methods for parameter identification in 2D fractional system with Riemann–Liouville derivative
In recent times, many different types of systems have been based on fractional derivatives.
Thanks to this type of derivatives, it is possible to model certain phenomena in a more …
Thanks to this type of derivatives, it is possible to model certain phenomena in a more …
[HTML][HTML] Fractional-Order Interval Parameter State Space Model of the One-Dimensional Heat Transfer Process
K Oprzędkiewicz - Energies, 2024 - mdpi.com
In this paper, the new non-integer-order state space model of heat processes in a one-
dimensional metallic rod is addressed. The fractional orders of derivatives along space and …
dimensional metallic rod is addressed. The fractional orders of derivatives along space and …
A new fractional Cattaneo model for enhancing the thermal performance of photovoltaic panels using heat spreader: energy, exergy, economic and enviroeconomic …
A new fractional non-Fourier (Cattaneo) photovoltaic (PV) model is presented to enhance
the thermal performance of a PV system combined with a heat spreader (HS). The fractional …
the thermal performance of a PV system combined with a heat spreader (HS). The fractional …
Modeling of Thermal Traces Using Fractional Order, a Discrete, Memory-Efficient Model
In the paper, the problem of modeling of thermal traces is addressed. The proposed model
allows prediction of the behaviour of a thermal mark left by a warm body on cooler ground. In …
allows prediction of the behaviour of a thermal mark left by a warm body on cooler ground. In …
The discrete, fractional order model of a two-dimensional temperature field using Grünwald-Letnikov definition
K Oprzędkiewicz - Bulletin of the Polish Academy of Sciences …, 2024 - yadda.icm.edu.pl
In the paper a new, fractional order, discrete model of a two-dimensional temperature field is
addressed. The proposed model uses Grünwald-Letnikov definition of the fractional …
addressed. The proposed model uses Grünwald-Letnikov definition of the fractional …
Modeling of thermal processes in the microcontroller system using fractional order transfer function
K Oprzedkiewicz, M Rosol - 2022 26th International …, 2022 - ieeexplore.ieee.org
The paper proposes new, fractional order models describing thermal processes in working
microcontroller system. The proposed models have the form of the fractional order transfer …
microcontroller system. The proposed models have the form of the fractional order transfer …
[PDF][PDF] The positivity of the fractional order model of a two-dimensional temperature field
K Oprzędkiewicz - Bulletin of the Polish Academy of Sciences …, 2023 - journals.pan.pl
The paper presents analysis of the positivity for a two-dimensional temperature field. The
process under consideration is described by the linear, infinite-dimensional, noninteger …
process under consideration is described by the linear, infinite-dimensional, noninteger …