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In this work, we focus on the application of epidemic approaches to computer viruses and investigate the dynamic transmission of multiple viruses, aiming to reduce computer destruction. Our goal is to create and examine computer viruses using the Atangana-Baleanu sense, which is employed in the fractional difference model for the spread of computer viruses. It included removable storage devices and external computer peripherals that were infected with computer viruses. The applications of fixed-point theory and iterative techniques are employed to analyze the existence and uniqueness results concerning the suggested model. Moreover, we extend several kinds of Ulam’s stability results for this discrete model. To demonstrate the implications of changing the fractional order in this instance of numerical simulation, we employed the Atanagana–Baleanu technique. The graphical outcomes validate our theoretical findings, which we used to evaluate the impact of infected external computers and removable storage devices on computer viruses. [ABSTRACT FROM AUTHOR]

In this manuscript, the existence of solutions for a novel category of the fractional differential equation of hybrid type with hybrid boundary value conditions is studied. Also, we review the existence result for its related hybrid inclusion problem with hybrid conditions. In the end of the paper, two illustrative examples are given to demonstrate the consistency to our key results. [ABSTRACT FROM AUTHOR]

Retrieval and comparative editing/modeling of motion data require temporal alignment. In other words, for such processes to perform accurately, critical features of motion sequences need to occur simultaneously. In this paper, we propose correlation-optimized time warping (CoTW) for aligning motion data. CoTW utilizes a correlation-based objective function for characterizing alignment. The method solves an optimization problem to determine the optimum warping degree for different segments of the sequence. Using segment-wise interpolated warping, smooth motion trajectories are achieved that can be readily used for animation. Our method allows for manual tuning of the parameters, resulting in high customizability with respect to the number of actions in a single sequence as well as spatial regions of interest within the character model. Moreover, measures are taken to reduce distortion caused by over-warping. The framework also allows for automatic selection of an optimum reference when multiple sequences are available. Experimental results demonstrate the very accurate performance of CoTW compared to other techniques such as dynamic time warping, derivative dynamic time warping and canonical time warping. The mentioned customization capabilities are also illustrated. [ABSTRACT FROM AUTHOR]

In this paper, UV-vis spectrum method and dynamic light scattering (DLS) methods were used to evaluate the stability of γ-AlO nanofluid. The results of DLS method indicate that zeta potential increases by increasing ultrasonic mixing time. After 150 min, zeta potential was 50 mV, which under these conditions the nanofluid was stable. The results also show that the size of the nanoclusters decreases with ultrasonic mixing time. The results obtained by UV-vis spectrum indicate that by increasing the ultrasonic mixing time, the value of maximum absorbency increases and after 30 min, it decreases gradually. After 150 min of ultrasonic mixing time, the maximum absorbency becomes constant. This mixing time can be considered as optimum mixing ultrasonic time. [ABSTRACT FROM AUTHOR]

Magnetic nanofluids have been used for absorption of CO in a packed column in the presence of magnetic field. Adding nanoparticles into the solvent enhances mass transfer characteristics. The optimum concentrations of FeO/water and NiO/water nanofluids are 0.005, and 0.01 % respectively, and the maximum enhancement of mass transfer rate in comparison with pure water is 12 and 9.5 % respectively. The magnetic field showed positive effect on the CO absorption performance. [ABSTRACT FROM AUTHOR]

Let A and B be two unital Banach algebras and letMbe an unital Banach A,B-module. Also, let T = ... be the corresponding triangular Banach algebra. Forrest and Marcoux (Trans. Amer. Math. Soc. 354 (2002) 1435-1452) have studied the n-weak amenability of triangular Banach algebras. In this paper, we investigate (2n - 1)-ideal amenability of T for all n = 1. We introduce the structure of ideals of these Banach algebras and then, we show that (2n - 1)-ideal amenability of T depends on (2n - 1)-ideal amenability of Banach algebras A and B. [ABSTRACT FROM AUTHOR]

Nanofluids are obtained by dispersing homogeneously nanoparticles into a base fluid. Nanofluids often exhibit higher heat transfer rate in comparison with the base fluid. In the present study, forced convection heat transfer under laminar flow conditions was investigated experimentally for three types of non-Newtonian nanofluids in a circular tube with constant wall temperature. CMC solution was used as the base fluid and γ-AlO, TiO and CuO nanoparticles were homogeneously dispersed to create nanodispersions of different concentrations. Nanofluids as well as the base fluid show shear thinning (pseudoplastic) rheological behavior. Results show that the presence of nanoparticles increases the convective heat transfer of the nanodispersions in comparison with the base fluid. The convective heat transfer enhancement is more significant when both the Peclet number and the nanoparticle concentration are increased. The increase in convective heat transfer is higher than the increase caused by the augmentation of the effective thermal conductivity. [ABSTRACT FROM AUTHOR]

In this investigation, laminar flow heat transfer enhancement in circular tube utilizing different nanofluids including AlO (20 nm), CuO (50 nm), and Cu (25 nm) nanoparticles in water was studied. Constant wall temperature was used as thermal boundary condition. The results indicate enhancement of heat transfer with increasing nanoparticle concentrations, but an optimum concentration for each nanofluid suspension can be found. Based on the experimental results, metallic nanoparticles show better enhancement of heat transfer coefficient in comparison with oxide particles. The promotions of heat transfer due to utilizing nanoparticles are higher than the theoretical correlation prediction. [ABSTRACT FROM AUTHOR]

We investigate some new class of hybrid type fractional differential equations and inclusions via some nonlocal three-point boundary value conditions. Also, we provide some examples to illustrate our results. [ABSTRACT FROM AUTHOR]