The work is devoted to the numerical solution of the initial boundary value problem for the heat equation with a fractional Riesz derivative. Explicit and implicit difference schemes are constructed that approximate the boundary value problem for the heat equation with a fractional Riesz derivative with respect to the coordinate. In the case of an explicit difference scheme, a condition is obtained for the time step at which the difference scheme converges. For an implicit difference scheme, a theorem on unconditional convergence is proved. An example of a numerical calculation using an implicit difference scheme is given. It has been established that when passing to a fractional derivative, the process of heat propagation slows down.

Broad-spectrum antibiotics, such as tetracyclines, are used to treat and manage a range of infectious disorders. Since the kidneys are the primary organs responsible for excreting tetracyclines, clinicians should refrain from prescribing them to patients who have renal failure. Tetracyclines are one of the clinical waste products of today. One of the biggest problems in the field of pollution of the environment today is the persistence of different pharmaceutical residues, drug residues, pesticides, and metal ion species of the new-generation pollutants in surfaces and groundwater. In the present work, carboxymethyl cellulose (CMC)-CuO nanoparticles (CMC-CuO NPs) were synthesized using CuO NPs within different amounts of CMC (0.5, 1.0, 1.5 and 2.0 g) at 85 °C. The synthesized nanoparticles were characterized by XRD, FT IR, SEM, and TG-DTA analysis. According to XRD and SEM, the crystallize size and morphology influenced the dosage of CMC. FT-IR analysis confines the layer of CMC to the CuO nanoparticle surface. TG-DTA results indicated that the CMC content of CMC-CuO NPs was between the range of 69% and 75% by weight. The effects of some parameters such as initial concentration, pH, adsorbent dosage, and contact time on the adsorption of tetracycline from aqueous model solutions on CMC-CuO NPs were investigated with batch studies. It was found that the removal of tetracycline was obtained about 80% with optimized parameters of 10 mg/L concentration, 180 min contact time, 5 pH, and 0.3 g/25 mL dose. The synthesized CMC-CuO NPs nanocomposite may be a promising material for the removal of tetracycline in environmental pollution and toxicology.

Xylene isomers are notorious chemical hazards, and their efficient removal from water solutions is still challenging. The current study reports a polymer nanocomposite as a potential adsorbent for successfully removing dissolved xylene isomers from contaminated water. Polystyrene-1D multiwall carbon nanotube nanocomposite (PS-MWCNT) adsorbent was prepared using the one-step bulk polymerization method. Mesoporous PS-MWCNT was prepared using the nano-crystallization phase separation method. The sulfonation of the mesoporous PS-MWCNT nanocomposites was carried out by treating the samples with concentrated sulfuric acid at elevated temperatures. The sulfonated PS-MWCNT (HO₃S-PS-MWCNT) was found to be a potential adsorbent for dissolved xylene isomers from water solution. In addition, the HO₃S-PS-MWCNT can be efficiently recycled for up to 10 consecutive cycles with negligible decline in adsorption values. The exhibited equilibrium adsorption, rate of adsorption, and rapid regeneration of the HO₃S-PS-MWCNT are clear indications for the possibility of practical utilization of these adsorbents in large-scale water treatment plants.

This study offers a focused examination on Xinfang system, China’s unique mechanism particularly on its ability and efficacy in mediating land disputes between farmers and governmental bodies for social governance purposes. Based on interviews with 10 farmers, the study elucidates the system has low entry barriers and user-friendly, thus fast becoming the preferred system option when dealing with land conflicts. Xinfang facilitates direct communication between farmers and government officials, thereby in line with the sociocultural conventions of the rural populace. The study also highlights several constraints. While the Xinfang system employs a multifaceted approach to conflict resolution, including negotiation and grassroots governmental intervention, it lacks legislative power and institutional authority that are required for effective management of more complex or multi-stakeholder land disputes. The study advocates for a comprehensive reassessment and subsequent reform of the Xinfang system, focusing particularly on its mechanisms and procedures for dispute resolution. Such reforms are not merely instrumental for the more robust safeguarding of farmers’ land rights, but also for enhancing the overall integrity and public trust in China’s legal and administrative frameworks.

There is a growing trend among elderly people to live alone and this trend is expected to increase in the future. Social isolation and limited support can have a negative impact on the physical and mental well-being of older adults. The increasing life expectancy and expanding geriatric population necessitate the development of innovative solutions to support their health, independence, and autonomy. This article addresses the key challenges and issues confronting the elderly and analyzes various IoT technologies and solutions proposed to enhance their lives. Smart home technologies improve the quality of life and enable older adults to live independently in their own homes while their adult children are at work. This article presents a smart home model for the elderly in Kazakhstan, based on their needs, concerns, and financial capabilities. The proposed prototype will be developed using an accessible, open-source intelligent system that includes health monitoring, medication adherence monitoring, alerting family members in case of falls or deteriorating health indicators, and video surveillance. Another advantage of this system is the automation of processes such as automatic lighting control, voice command functionality, home security, and climate control. Preliminary testing of the hardware model shows promising results, with plans for continuous improvement and evaluation as it is deployed. Key criteria for its implementation include affordability, accessibility, and feasibility. Based on Kazakhstan’s unique socio-cultural and economic context, this paper proposes a sophisticated smart home model tailored to the specific needs and financial capabilities of elderly Kazakhs.

The growing of plants hydroponically is a soilless form of growing in modern day agriculture. It helps to make feed available for animals throughout the season since it is not affected by what is faced by field grown crops. The use of animal waste, that is, their faeces, in the growth of forage was compared with commercial hydroponics solutions as a way of looking for a reduction in the cost incurred in the purchase of commercial hydroponics solutions. The study evaluated the use of organic nutrient solutions (ONS) alongside a standard/commercial nutrient solution in growing crops hydroponically on the growth, dry matter yield, water use efficiency, and chemical composition of hydroponic maize fodder. The ONS used were formulated from the dried faeces of cattle, poultry, rabbits, and swine. The prepared organic nutrient solutions with the control were used in growing the maize seeds for 10 days, and growth, yield, and chemical composition were determined. Results show the highest (196 g) dry matter yield for maize hydroponic fodder irrigated with poultry ONS. Similarly, maize irrigated with poultry ONS was significantly (P < 0.05) higher in CP content, while it was not significantly different from maize irrigated with cattle, swine, and commercial solutions. A lower water use efficiency value (0.19 kg DM/m³) was recorded for maize irrigated with cattle ONS. According to the study, irrigating maize with different organic nutrient solutions produced maize fodder with a higher yield and a similar chemical composition as the commercial nutrient solution.