Contemporary Mathematics, Volume 6 Issue 1 (2025)



Open Access Article

Analysis of Radial Distribution Systems Using Particle Swarm Optimization under Uncertain Conditionsditions

by M. Naveen Babu, P. K. Dhal

ABSTRACT: Efficiently mitigating losses in power distribution networks is imperative for their optimal operation. This research employs the particle swarm optimization (PSO) algorithm to investigate the...

Open Access Article

Application of Laplace Transform Method to Solve Neutral-Type Delay Differential Equation

by K. Sasikala; D. Piriadarshani , Vediyappan Govindan, Mana Donganont, Siriluk Donganont, Choonkil Park

ABSTRACT: This study investigates the use of the Laplace transform method to resolve a particular class of second-order linear initial-value neutral delay differential equations, which are prevalent in...

Open Access Article

Strong Sandwich Results Involving the Riemann-Liouville Fractional Integral of an Extended q-Hypergeometric Function

by Alina Alb Lupaş

ABSTRACT: The classical theories of differential superordination and subordination have been extended to strong differential superordination and respectively, strong differential subordination. The two new...

Open Access Article

Structural Stability of the Stokes Fluid System in a Channel

by Yanping Wang, Yuanfei Li

ABSTRACT: This paper considers the two-dimensional Stokes system in a semi-infinite channel and is committed to deriving the structural stability of the model. Using the differential inequality technique,...

Open Access Article

Integration of Theoretical Foundations and Practical Implications for Neutrosophic Set Theory in Real-Time Maintenance Decision Systems

by Settu K, Jayalakshmi M

ABSTRACT: In the present era, the concepts of neutrosophic set theory are essential for handling uncertain data with three distinct components. Researchers across various fields widely use these concepts...

Open Access Article

Modelling and Simulation of the Effect of Irradiance Related Temperature on Microalgae Cell Growth in an Outdoor Culture for a Horizontal Loop Tubular Photobioreactor

by Md. Kamrul Hasan Chowdury, Md. Rashedul Islam, Nurun Nahar, Mohammad Iftekhar Monir, Ujjwal Kumar Deb

ABSTRACT: Microalgae growth is influenced by numerous culture parameters, and temperature is considered one of the vital growth factors among them. In this study, a computational growth model related for a...

Open Access Article

Collocation Technique Based on Chebyshev Polynomial to Solve Lane-Emden-Fowler Boundary Value Problem

by Shabanam Kumari, Arvind Kumar Singh, Utsav Gupta

ABSTRACT: We present an innovative technique to find numerical solutions of the Lane-Emden-Fowler singular-type BVPs which plays a crucial role in comprehending a wide range of physical phenomena. The core...

Open Access Article

Ovals of Constant Width in Polar Coordinates

by Adel Al-rabtah

ABSTRACT: We explore ovals of constant width in polar coordinates in this paper. Conversion of a parametric function defined on a rectangular domain of angles, to a polar representation defined on a domain...

Open Access Article

F-Hardy Rogers Type Contractions Endowed with Mann's Iterative Scheme in Convex Generalized b-Metric Spaces

by Amna Naz, Samina Batul, Dur-e-Shehwar Sagheer

ABSTRACT: This article presents novel fixed point results using Mann’s iterative process in complete convex b -metric spaces, building upon Isa Yildirim’s recent work. The author established the definition...

Open Access Article

On the Edge Irregularity Strength of Finite Graphs

by Asma Almazaydeh, Bilal N. Al-Hasanat, Remal S. Al-Gounmeein

ABSTRACT: In this paper, we state the value of edge irregularity strength for the complete graphs K n of order n ≥ 3, wheel graphs W n where n ≥ 3 and the union of disjoint graphs. Also we...

Open Access Article

Thermo-Diffusion Effects on Fractional Ordered Model of Unsteady Casson Blood Flow with Magnetic Field Effect

by Nilesh Patel, Harshad Patel

ABSTRACT: This paper deals with the effects of magnetic fields on unsteady Casson blood fluid flow in a stenosis artery. The effects of thermo-diffusion, thermal radiation, metabolic heat sources, and heat...

Open Access Article

Exploring the Hidden Symmetry of Quaternions: Dual Balancing and Cobalancing Numbers and Their Corresponding Quaternions

by Süleyman Aydınyüz

ABSTRACT: This paper unveils the hidden symmetry of quaternions through the introduction of Dual Balancing and Dual Cobalancing numbers, along with their corresponding quaternions. We provide Binet's...

Open Access Article

Trend Analysis of BSE Stock Prices Using Hidden Markov Models and Viterbi Algorithm

by S. Aarthi, S. Indrakala

ABSTRACT: Many forecasting techniques have been put forth and used in recent years to predict stock market trends. Recently, many researchers developed models based on Artificial Neural Network (ANN),...

Open Access Article

Evaluating Stress-Strength Reliability Estimation Technique: A Study on Ranked Set Sampling for the Beta-Lomax Distribution

by Mujtaba Zuhair Ali Abuhedary, Hossein Jabbari Khamnei, Ali Akbar Heydari

ABSTRACT: Reliability, a crucial aspect in engineering and project management, signifies the likelihood of a system or project enduring without malfunction over a specified duration. Typically, the random...

Open Access Article

Comparative Analysis of Factorial Analysis-Multiple Regression and Random Forest for the Prediction of the Stabilization Time in Furnaces in the Heat Treatment Area in a Metalworking Company

by Refugio Chavez Hernandez , Jose Luis Martinez Flores, Claudia Malcon Cervera, Patricia Cano Olivos

ABSTRACT: The purpose of this study is to determine the relationship between the values and attributes of the loads in forged rings made of materials such as nickel, titanium and waspaloy in furnaces for...

Open Access Article

On Qualitative Behaviour of Solutions of Third Order Matrix Delay Differential Equations

by Adetunji. A. Adeyanju, Cemil Tunç, Babatunde. S. Ogundare

ABSTRACT: We analyze, using the Lyapunov-Krasovskii method, the conditions for the stability, boundedness and periodicity of solutions to a class of nonlinear matrix differential equation of third order...

Open Access Article

Risk Assessment for Start-Up Business in SMEs: Qualitative and Mathematical Approach

by Siti Nadhirah Mohamad Fauzi, Puspa Liza Ghazali, Rabiatul Adawiyah Abdul Rahim, Farah Amalina Md Nawi, Salman Lambak, Eni Noreni Mohamad Zain, Mohamad Afendee Mohamed

ABSTRACT: Due to its crucial role in economic growth and job creation, there has been a notable increase in start-up businesses, particularly small and medium enterprises (SMEs). Many start-up...

Open Access Article

An Optimized Beluga Whale Approach for Migration to Reduce Power and Service Level Agreement in Real-Time System

by Rukmini S, Shridevi Soma

ABSTRACT: Managing power consumption in cloud data centers has become a critical challenge. Live container migration is a technology supporting energy efficiency in this context. To address the hurdles of...

Open Access Article

Computational Behavior of Trihybrid Casson Nanofluid Blood Flow Occurring Inside the Conical Gap Between the Rotating Disk and the Cone

by Yasir Mehmood, Waseem Abbasi, Musaed Alhussein, Khursheed Aurangzeb, Asia Rehman, Muhammad Shahid Anwar

ABSTRACT: The investigation of the flow patterns of a trihybrid nanofluid flow situated in the conical gap that is created among a revolving disc and a stationary cone computationally examined in this...

Open Access Article

Discussions on the Vertex Euclidean Properties of Graphs

by Zhen-Bin Gao, Sin—Min Lee, Yun-Fei Zhang

ABSTRACT: In 2022, the result that the sum of the lengths of any two edges of a triangle is greater than the length of the third edge in Euclidean geometry, is applied to labeling graph theory, a new...

Open Access Article

Entrepreneurial Strategies in Livestock Inventory Management with Trade Credit

by Jayashri P, Umamaheswari S

ABSTRACT: Amelioration and deterioration rates play a vital role in inventory management. Some animals lose value due to illness, death, or other incidents as they gain weight when kept on farms in good...

Open Access Article

Solvability of a Doubly Singular Boundary Value Problem Arising in Front Propagation for Reaction-Diffusion Equations

by Cristina Marcelli

ABSTRACT: The paper deals with the solvability of the following doubly singular boundary value problem naturally arising in the study of the existence and properties of travelling waves for...

Open Access Article

An Analytical and Numerical Approach to Solve the Tsunami Wave Propagation Equation

by Juhi Kesarwani, Abhijit Majumder, Ishita Sharma, Ashish Kumar Kesarwany

ABSTRACT: We study the mathematical model of tsunami wave propagation (TWP) along the coastline of an ocean. The described model is represented by a system of non-linear partial differential equations. In...

Open Access Article

Assessing the Efffects of Vaccination on Tuberculosis and COVID-19 Co-Infection Modelling

by Harshita Kaushik, V. S. Verma, Ram Singh, A. Manickam

ABSTRACT: In this paper, an epidemiological model is proposed to study the dynamics of coinfection diseases (TB) and COVID-19 with the effect of vaccination. Tuberculosis (TB) and COVID-19 both are...

Open Access Article

Mathematical Modeling of Velocity Field Induced by the Vortex

by I. Kangro, H. Kalis, A. Aboltins

ABSTRACT: In new technological applications, it is important to use vortex distributions in the area for obtaining large velocity fields. Analogous to electromagnetic and fluid mechanics inductions,...

Open Access Article

Interconnection Between Schur Stability and Structured Singular Values

by M. Rehman, J. Alzabut, M. Tayyab, F. Amir

ABSTRACT: In this paper, we present new results on the interconnections between Schur stability and structured singular values of real-valued matrices, denoted as R n × n . Most new findings are...

Open Access Article

Spatio-Temporal Analysis and Prediction by Logistic Regression of Respiratory Diseases in India

by Priyanka Subramani, Kalpanapriya Dhakshnamoorthy

ABSTRACT: Respiratory illnesses rank among the top causes of death and disability in India, influenced by factors such as limited healthcare access, air pollution, smoking, allergens, and a lack of...

Open Access Article

Optimum Flows in Directed Planar Dynamic Networks. The Dynamic Approch

by Camelia Schiopu, Eleonor Ciurea

ABSTRACT: Optimum flows in directed planar dynamic networks are essential for several reasons, impacting a variety of fields. These networks present unique challenges that require advanced optimization...

Open Access Article

Indecomposable modules, relative projectivity and radical subgroups in finite groups

by Zwelethemba Mpono

ABSTRACT: In the various blocks of a finite group G , irreducible characters sit with the indecomposable modules which afford them and such indecomposable modules in those blocks have got vertices and...