Academic Articles & Research Papers

A Novel MRAC Scheme for Output Tracking

This paper puts forward a novel output feedback model reference adaptive control (MRAC) scheme for solving an adaptive output tracking problem. The proposed control scheme only needs a scalar function to be updated online, which decreases t...

Retracted: A Novel Multicriteria Decision-Making Approach for Einstein Weighted Average Operator under Pythagorean Fuzzy Hypersoft Environment

New Insights into Cd²⁺/Fe³⁺ Co-Doped BiOBr for Enhancing the Photocatalysis Efficiency of Dye Decomposition under Visible-Light

Uniform flowerlike microspheres Cd2+/Fe3+ co-doped BiOBr were prepared with the aid of the microwave hydrothermal process. The results indicate that the degradation performance of Bi1−xCdxOBr and Bi1−xFexOBr are 1.31 and 2.05 times that of ...

DAF-UNet: Deformable U-Net with Atrous-Convolution Feature Pyramid for Retinal Vessel Segmentation

Segmentation of retinal vessels from fundus images is critical for diagnosing diseases such as diabetes and hypertension. However, the inherent challenges posed by the complex geometries of vessels and the highly imbalanced distribution of ...

Mathematical Capabilities of ChatGPT

We investigate the mathematical capabilities of two iterations of ChatGPT (released 9-January-2023 and 30-January-2023) and of GPT-4 by testing them on publicly available datasets, as well as hand-crafted ones, using a novel methodology. In...

The Mathematics of Financial Derivatives

Finance is one of the fastest growing areas in the modern banking and corporate world. This, together with the sophistication of modern financial products, provides a rapidly growing impetus for new mathematical models and modern mathematic...

The Philosophy of Mathematics

Russell's logical investigations in the foundations of mathematics produced a fund of novel ideas, techniques, and possibilities. His powers of conception and exposition have made the subject an engaging area of study for generations of stu...

The application of cosine similarity measures with Laplacian energy to q-rung orthopair fuzzy graphs in decision-making problems

Q-rung orthopair fuzzy sets (q-ROFS), which are better than the intuitionistic and Pythagorean fuzzy sets, are a significant tool for expressing ambiguous information. Their key feature is that their ability to represent a larger space of u...

Existence results and Ulam-Hyers stability for a sequential deformable fractional initial value problem

Abstract In this study, we establish existence and Ulam-Hyers results for nonlinear sequential fractional differential equations involving the deformable derivative. We employ the Banach contraction principle and Krasnoselskii’s theorem to ...

Application of a Novel Multi-Agent Optimization Algorithm Based on PID Controllers in Stochastic Control Problems

The article considers the problem of finding the optimal on average control of the trajectories of continuous stochastic systems with incomplete feedback. This class of problems includes control problems in which the initial states are desc...

Solving a class of distributed-order time fractional wave-diffusion differential equations using the generalized fractional-order Bernoulli wavelets

In this research, we propose a new numerical method for solving a class of distributed-order fractional partial differential equations, specifically focusing on distributed-order time fractional wave-diffusion equations. The method begins b...

Optimal decay rates for higher-order derivatives of solutions to 3D compressible Navier-Stokes-Poisson equations with external force

We investigate optimal decay rates for higher-order spatial derivatives of solutions to the 3D compressible Navier-Stokes-Poisson equations with external force. The main novelty of this article is twofold: First, we prove the first and seco...

Gender, power, and digital health inequities: a narrative review of barriers to digital health access among women in Lesotho

Digital health technologies are increasingly recognised as tools to enhance healthcare accessibility in resource-constrained settings. However, evidence suggests that not every section of society has benefitted equally. Women in developing ...

An adaptive cruise control system for autonomous vehicles using PRDC–CoROA-based hybrid optimization

Abstract An adaptive cruise control (ACC) system has a key role to play in enhancing the safety and stability of autonomous vehicles, along with ensuring improved ride quality through proper management of vehicle velocity and distance betwe...

Antimicrobial topical polymeric films loaded with Acetyl-11-keto-β-boswellic acid (AKBA), boswellic acid and silver nanoparticles: Optimization, characterization, and biological activity

The study examined the antimicrobial and antioxidant potential of pure Acetyl-11-keto-β-boswellic acid (AKBA), boswellic acid (70%) and AKBA loaded nanoparticles as topical polymeric films. The optimized concentration (0.05 % w/v) of pure A...

Geometric nonlinear analysis of Timoshenko beams with variable cross-section using co-rotational formulation

The geometrically nonlinear analysis of Timoshenko beams with variable cross-sections remains a challenging task in engineering practice, particularly for structures subjected to large deformations. While co-rotational (CR) formulations hav...

Coffee Silverskin Phytocompounds as a Novel Anti-Aging Functional Food: A Pharmacoinformatic Approach Combined with In Vitro Study

Coffee became a beverage that was in demand in the world and consequently produced millions of tons of coffee byproducts namely coffee silverskin (CS). Unutilized CS will be waste and cause environmental pollution such as greenhouse gas emi...

Towards the crafting of personal health technologies

We introduce a novel approach that merges craft and health technologies to empower people to design and build their own personal health visualizations. In this mutually beneficial union, health technologies can be more meaningful to an indi...

The evolution of digital health technologies in cardiovascular disease research

When implemented in practice, digital technologies have shown improvements in morbidity and mortality outcomes in patients with cardiovascular disease (CVD). For scholars, research into digital technologies in cardiovascular care has been r...

Histological Evidences of Autograft of Dentin/Cementum Granules into Unhealed Socket at 5 Months after Tooth Extraction for Implant Placement

The aim of this clinical case study was to observe biopsy tissues at 5 months after an autograft of a partially demineralized dentin/cementum matrix (pDDM) into a tooth-extracted socket exhibiting healing failure. A 66-year-old female prese...