This paper deals with the analysis of structural breaks in the context of fractionally integrated models. We assume that the break dates are unknown and that the different sub-samples possess different intercepts, slope coefficients and fractional orders of integration. The procedure is based on linear regression models using a grid of values for the fractional differencing parameters and least...

Large deviation principle for the non-linear functionals of non-Markovian models is a challenging subject. A class of such models are Gaussian processes. Among them, the fractional Brownian motions are perhaps the most important processes. In this talk, I will talk about some recent progress achieved in the large deviations for local times and intersection local times of fractional Brownian mot...

This study employs a semi-analytical approach, called Optimal Homotopy Asymptotic Method (OHAM), to analyze coronavirus (COVID-19) transmission model of fractional order. The proposed method Caputo's derivatives and Reimann-Liouville integral sense solve the underlying model. To best our knowledge, this work presents first application an optimal homotopy asymptotic scheme for better estimation ...

This paper presents a critical review of modern 4G, 4G/5G, and 5G antennas, which employ PIN diodes Varactors for polarization or frequency reconfiguration. For the reviewed 4G reconfigurable new parameter named spectrum utilization "AR/ S 11</sub...

The slow light device based on photonic crystal coupled waveguide was fabricated, and a tunable delay of 72 ps was obtained for 2-ps-wide slow light pulses by local heating, which corresponds to a tunable fractional delay of 36. This value was further enhanced to 110 by compressing the output pulses through self-phase modulation and dispersion compensation in external fibers. We applied this de...

The MPEG-4 AVC/H.264 video compression standard introduces a high degree of motion estimation complexity. Quarter-pixel accuracy and variable block-size significantly enhance compression performances over previous standards, but increase computation requirements. Firstly, a DSP-based solution achieves real-time integer motion estimation. Nevertheless, fractional-pixel refinement is too computat...

Two experiments (Exp.) were conducted to determine the effects of dietary addition of five herbal plants (HP) alone or as herbal plant mixture (HPM) on in vitro gas production and ruminal fermentation patterns. In Exp. 1, five varieties of HP (garlic, eucalyptus, cinnamon, thyme, and peppermint) were added to the diet at 3 different concentrations (5, 10 and 15% of concentrate dry matt...

We prove a Hopf's lemma in the point-wise sense. The essential technique is to $(-\Delta)^s_p u(x)$ uniformly bounded unit ball $B_1\subset\mathbb{R}^n$, where $u(x)=(1-|x|^2)^s_{+}$. Also we study global H\"older continuity of positive solutions for u(x)=f(x,u).$