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 …

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 …

Nonlinear fraction-order finite-speed refined Lord–Shulman (LS) thermoelastic wave
propagation, reflection, and mixing analyses are accomplished here for rotating annular …

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 …

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 …

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 …

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 …

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 …

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 …

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 …