A new mechanical framework is introduced to describe bodies with time-continuous mass

variation, incorporating a functional dependence on mass. In this approach, the dynamics

are governed by momentum balance equations formulated using Caputo fractional

derivatives, which adhere to a weak form of Galilean invariance. The formulation is

particularly focused on the Meshchersky kinetics, accounting for both mass and velocity

changes. As a practical example, this paper presents a novel model for the motion of a

material body with continuously varying mass in a constant gravitational field—leading to

a time-fractional version of the Tsiolkovsky rocket equation, augmented by a dissipative

term. Under time-based approximation, deviations from vertical projectile motion are

analyzed to assess the internal consistency of the proposed model.

A three-parameter generalization of the Tsallis entropy based on the properties of the power functions and Weyl fractional calculus like extension of quantum calculus, are introduced. The generalization of the Shannon-Khinchin axioms corresponding to the fractional Tsallis entropy is verified and proposed. These axioms uniquely characterize new entropy function. For a certain sets of parameter values satisfied the second and third law of thermodynamics, the Lesche and thermodynamic stability criteria.

ZnO thin films were deposited on stainless steel substrates using the immersion method by immersing the

substrates in a sol-gel coating solution at temperatures of 70 °C and 80 °C for varying durations of (1, 2, 3, and 4minutes).

The results indicated that increasing the immersion time significantly influenced the film thickness. Optical measurements

showed that transmittance at a wavelength of 350nm increased with higher deposition temperatures. Additionally, the

Urbach tail energy increased with temperature, whereas the band gap (Eg) decreased markedly. Furthermore, the

electrical conductivity of the ZnO films improved with increased temperature and immersion time.

Thin films deposited on glass surfaces can be produced by various

methods, including physical methods (thermal evaporation in

vacuum, sputtering, etc.) and chemical methods (chemical

deposition, chemical vapor deposition, thermal chemical analysis,

etc.). In this paper, thin films were deposited on glass slides using

the plasma-enhanced chemical vapor deposition (PECVD)

technique at pressures (10,30 and 50 mTorr) for varying durations

of (5,10 and 15 minutes). In addition, the results indicates that

increasing the deposition time significantly influenced the film

thickness while the adhesion does not directly depend on time.

In this study, the morphological and thermal properties of a blend consisting of 75% polyvinyl chloride (PVC) and

25% low-density polyethylene (LDPE), reinforced with nano-refractory bricks (NRB) at varying ratios (1%, 3%, 5%, and 7%),

were prepared and investigated. The objective was to enhance the blend’s thermal stability and surface structure homogeneity.

The morphological structure of the prepared samples was analyzed using scanning electron microscopy (SEM) and X-ray

diffraction (XRD). The obtained images revealed that the nano-refractory brick particles remained predominantly within the

PVC phase, resulting in an increased composite density without significantly affecting the LDPE phase. This suggests that the

overall morphology of the composite is largely unaffected by the presence of the nano-refractory bricks. From a thermal

perspective, thermogravimetric analysis (TGA/DTG) was conducted on all samples from room temperature up to 600 °C at a

heating rate of 10 °C/min. FTIR and TGA results indicated that the decomposition onset temperature shifted to higher values

due to the presence of nano-refractory bricks, with the most pronounced shift observed in the sample containing 3%

reinforcement. Additionally, the rate of mass loss was reduced. These findings demonstrate that reinforcing the PVC/LDPE

blend with nano-refractory bricks improves its performance, making it more suitable for applications that demand enhanced

thermal and mechanical properties, such as those in the construction and electronics industries.

The specific activities of twenty-five soil samples have been measured with gamma ray spectrometry system using a High Purity Germanium (HPGe) detector in order to evaluate the radiological hazard effects of the natural radioactivity, the activity utilization index(AUI), Gamma Index (𝐼𝛾), alpha index (𝐼𝛼) and the radiation exposure rate (I), The annual effective dose indoor AEDE(Sv y-1)indoor , and outdoor AEDE(Sv y-1)outdoor have been calculated.

The activity utilization index values ranged from 0.06 to 0.34 with an average 0.15, and Gamma Index (𝐼𝛾) values ranged from 0.142 to 0.372 with an average of 0.2028, while the alpha index values ranged from 0.025 to 0.117 with an average 0.049, and the values of

radiation exposure rate (I) ranged from 39.02 μR/h to 102.66 μR/h with an average value of 56.34 μR/h.

Nanoparticles thin films of the titanium dioxide (TiO₂) exhibit many interesting properties that can be exploited in a variety of applications such as such as a Photocatalysts, Dye-sensitized solar cell, Gas sensors, Electronic devices and an insulator (buffer layer) in the dielectric bolometer sensor, which are very important to investigate and study the properties of its current density. This review discusses the applications and syntheses of titanium dioxide (TiO2) and outlines methods of preparation that allow control over the size, morphology, surface treatment.

In this paper we introduce a new fractional generalization of the

Smith's formula for the classical generalization of the Drude

equation. The generalized Drude formula described was proposed

originally to account for the unusual behavior of the optical

properties of mercury and its amalgams, it can be used for liquid

tellurium and some quasicrystals.