This study presents a practical method for solving fractional order delay variational problems. The fractional derivative is given in the Caputo sense. The suggested approach is based on the Laplace transform and the shifted Legendre polynomials by approximating the candidate function by the shifted Legendre series with unknown coefficients yet to be determined. The proposed method converts the fractional order delay variational problem into a set of (n ＋ 1) algebraic equations, where the solution to the resultant equation provides us the unknown coefficients of the terminated series that have been utilized to approximate the solution to the considered variational problem. Illustrative examples are given to show that the recommended appro

Water, an essential element for life, is becoming increasingly contaminated due to the continuing discharge of hazardous substances into our water sources. Pharmaceuticals, industrial chemicals, dyes, colorants, heavy metals, and pesticides are examples of some of the organic and inorganic substances that persistently contaminate water systems and traditional wastewater treatment systems are not designed to remove dissolved organic constituents, which is why their entry into the environment is so ubiquitous. Common pharmaceuticals such as aspirin, amoxicillin, ciprofloxacin, paracetamol, and ibuprofen, are amongst the most substantial contributors to water pollution The efficient and eco-friendly management of pharmaceutical pollutants pres

In the present study, MCM-41 was synthesis as a carrier for poorly drugs soluble in water, by the sol-gel technique. Textural and chemical characterizations of MCM-41 were carried out by X-ray diffraction (XRD), Fourier transform infrared (FTIR), scanning electron microscope (SEM), and thermal gravimetric analysis (TGA). The experimental results were analyzed mesoporous carriers MCM-41. With maximum drug loading efficiency in MCM-41 determined to be 90.74%. The NYS released was prudently studied in simulated body fluid (SBF) pH 7.4 and the results proved that the release of NYS from MCM-41 was (87.79%) after 18 hr. The data of NYS released was found to be submitted a Weibull model with a correlation coefficient of (0.995). The Historical

Biodiesel is popular as an eco-friendly fossil fuel alternative. Neem oil is manufactured from Azadirachta indica seeds. Transesterifying triglycerides with alcohol in the presence of a synthesized CaO nanocatalyst is the most common biodiesel synthesis procedure—recent advances, difficulties, and prospects in laser feedstock pretreatment to boost reactivity and reduce energy use. Oil pre-treatment with a 540-nm green laser is cost-effective and environmentally friendly. This study examined neem oil with and without laser pretreatment for biodiesel synthesis. CaO nanocatalysts were synthesised using Sol–gel and characterised using XRD and SEM. According to catalyst recyclability, the CaO nanocatalyst did not lose activity after five re

The use of sugarcane molasses (SCM) as a sustainable stabilizing agent for geomaterials, particularly granular subbase soils, has recently attracted growing attention as an alternative to traditional stabilization methods employing cement, lime, or bitumen, which are often associated with high costs and environmental concerns. This study presents a mechanistic–experimental evaluation of SCM for stabilizing granular subbase materials at dosages of 2.5%, 5%, 7.5%, and 10% by weight of dry granular material. A comprehensive testing program was conducted, including compaction characteristics, California Bearing Ratio (CBR), resilient modulus (Mr), permanent deformation under repeated loading, optical microscopy, and FTIR spectroscopy.

A novel design and implementation of a cognitive methodology for the on-line auto-tuning robust PID controller in a real heating system is presented in this paper. The aim of the proposed work is to construct a cognitive control methodology that gives optimal control signal to the heating system, which achieve the following objectives: fast and precise search efficiency in finding the on- line optimal PID controller parameters in order to find the optimal output temperature response for the heating system. The cognitive methodology (CM) consists of three engines: breeding engine based Routh-Hurwitz criterion stability, search engine based particle
swarm optimization (PSO) and aggregation knowledge engine based cultural algorithm (CA)