Contemporary Mathematics, Volume 5 Issue 3 (2024), 2593-4131



Open Access Article

A Stochastic Approach in the Analysis of Compartmental Models in Epidemiology

by Moussa Kaboré, Diakarya Barro

ABSTRACT: The spread of infectious diseases is a significant public health issue. Mathematical modeling is being used to find appropriate answers to this question. In this paper we propose a stochastic...

Open Access Article

Gauss-Seidel Type Iterative Algorithm for a Generalized System of Extended Non-linear Variational Inequalities

by Fawzi F. M. Alhamdi, Nifeen H. Altaweel, Faizan Ahmad Khan, Saleem K. Aljuhani

ABSTRACT: This study is focused on a new generalized system of extended non-linear variational inequalities (GSENVI, for short) involving 3 k -distinct non-linear relaxed cocoercive operators. We give the...

Open Access Article

On Statistical Riemann-Stieltjes Integrablility and Deferred Cesàro Summabilit

by Bidu Bhusan Jena, Susanta Kumar Paikray, M. Mursaleen

ABSTRACT: In this paper, we first introduce and study the notion of statistical Riemann-Stieltjes sum for the sequence of functions and establish some elementary results based on this notion. Subsequently,...

Open Access Article

The Order Gcd Graph

by Pinku Sarkar, Kuntala Patra

ABSTRACT: In this paper we define a simple undirected graph  O g (Z n )  whose vertices are all the elements of Z n and two distinct vertices a, b are adjacent if and only if gcd ( O ( a ), O ( b ))=...

Open Access Article

Dynamics of a SVEIR Epidemic Model with a Delay in Diagnosis in a Changing Environment

by Hamadoum Dicko, Ali Traoré, Désiré Ouedraogo

ABSTRACT: A SVEIR epidemic model with a delay in diagnosis is studied in a constant and variable environment. The mathematical analysis shows that the dynamics of the model in the constant environment are...

Open Access Article

A Note on Convexity Properties for Gaussian Hypergeometric Function

by Georgia Irina Oros, Ancuța Maria Rus

ABSTRACT: Gaussian hypergeometric function has been investigated in the context of geometric function theory regarding many aspects. Obtaining univalence conditions for this function is a line of research...

Open Access Article

On the Endomorphism Monoid of Certain Ultrametric Speces

by Karrar Al-Sabti

ABSTRACT: In this work we investigate the endomorphism monoid of certain ultrametric spaces. According to our main result, if X =< X,e > is an ultrametric space such that the range of e is finite,...

Open Access Article

System of Nonlinear (k, ψ)-Hilfer Fractional Order Hybrid Boundary Value Problems

by Abdelkrim Salim, Abdulhamit Kucukaslan, Jehad Alzabut, Mahammad Khuddush

ABSTRACT: This paper focuses on the existence and uniqueness of solutions for a new class of coupled fractional differential equations subject to specific boundary conditions. We introduce a novel approach...

Open Access Article

Geostatistical Framework for Estimating Dependence of Multivariate Structures

by Alex Félix Sanogo, Barro Diakarya, Bisso Saley

ABSTRACT: Geostatistics is a subdomain of statistics that deals with phenomena which have spatial or spatiotemporal distribution. This paper proposes an extension of properties of the multivariate F-alpha...

Open Access Article

Introduction to Homological Algebra for Quantaloids: Semisimple Modules over a Quantaloid

by Arij Benkhadra, Dirar Benkhadra

ABSTRACT: This paper is a step towards a homological classification of quantales and quantaloids by characterizing semisimple quantales and quantaloids via their modules. We prove that semisimple quantales...

Open Access Article

Modeling Rabies Dynamics: The Impact of Vaccination and Infectious Immigrants on Public Health

by Hazrat Younas, Imtiaz Ahmad, Nigar Ali, Ihtisham Ul Haq, Mohammed Daher Albalwi, Shah Muhammad, Mohammad Shuaib

ABSTRACT: Public health is still seriously threatened by rabies in many parts of the world, particularly in poorer nations. In order to address this issue, this work suggests an equation describing the...

Open Access Article

Heat Transfer and Flow of Natural Convection Past a Semi-Infinite Vertical Plate

by Funmilayo Helen Oyelami, Homan Emadifar, Emmanuel Sunday Fadugba, Masoumeh Khademi, Ahmed A. Hamoud

ABSTRACT: This manuscript presents a numerical investigation of the flow of an electrically conducting, incompressible, viscous fluid past a heated vertical channel with thermal radiation influence. The...

Open Access Article

A Note on Wiener and Hyper-Wiener Indices of Abid-Waheed Graph

by Annamalai Meenakshi, Manthiram Bramila, Aseervatham Joshi, Adhimoolam Kannan, Krishnasamy Karthik

ABSTRACT: A Hosoya polynomial is a polynomial connected to a molecular graph, which is a graph representation of a chemical compound with atoms as vertices and chemical bonds as edges. A graph invariant is...

Open Access Article

An Improved Weight Optimization of Hybrid Machine Learning Models for Forecasting Daily PM2.5 Concentration

by Manlika Ratchagit

ABSTRACT: PM 2 . 5 is an air pollutant primarily produced by human activities, including the combustion of fossil fuels, industrial emissions, vehicle exhaust, and more. This issue has emerged as a...

Open Access Article

Dynamic Programming, Neuro-Dynamic Programming, Rollout Method and Model Predictive Control to Optimal Control of a Fermentation Process

by Tatiana Ilkova, Mitko Petrov

ABSTRACT: This work presents the use of dynamic programming ( DP ), neuro-dynamic programming ( NDP ), rollout algorithm ( RA ) and model predictive control ( MPC ) for optimal control of batch cultivation...

Open Access Article

Analytical Solution of Concentrated Mixtures of Hydrogen Sulfide and Methanol in Steady State in Biofilm Model

by A. Uma, R. Raja, R. Swaminathan

ABSTRACT: The mathematical model of steady-state biofiltration of hydrogen sulfide and methanol mixtures is explored in this work. The non-linear term associated with monoid kinetics is a part of the system...

Open Access Article

Analyzing an M/G/1 Double Orbit Retrial Queue with the Implementation of a Working Vacation Policy

by A. Baskar, M. C. Saravanarajan

ABSTRACT: This paper introduces a double-orbit retrial queue model designed to address patient dissatisfaction by taking into account their willingness to pay for enhanced comfort and service. The system...

Open Access Article

Stability Analysis for Co-Dynamics of COVID-19 and HIV-AIDS with Public Sensitization and Education as Controls

by Dominic Otoo, Shaibu Osman, Albert Gyan, Winnie Mokeira Onsongo, Hawa Adusei, Ernest Yeboah Boateng

ABSTRACT: Infectious diseases have denied humanity joy and resources over the centuries. Major diseases such as rabies (1885), whooping cough (1914), flu influenza (1945), and COVID-19 changed the course of...

Open Access Article

Functional Train Algebras of Rank ≤ 3

by Joseph Bayara, Siaka Coulibaly

ABSTRACT: In this paper we show that every baric algebra satisfying a functional train identity of rank ≤ 3 and admitting an idempotent is a special train algebra. The functional train equation of train...

Open Access Article

Humanoid Robot Teleoperation Through 3-D Pose Estimation

by Jacobo E. Cruz-Silva, R. Sivaraman, J. Yaljá Montiel-Pérez, J. Humberto Sossa-Azuela, J. López-Bonilla

ABSTRACT: The knowledge of how the human motions is performed helps to understand how the human body works. This paper presents a method to estimate the human limbs angles through a kinematic model depicted...

Open Access Article

No Sum (NS) Sequence: A Tool for Quantum-Safe Cryptography

by Bharat S. Rawal, Anjan Biswas, Raman Singh

ABSTRACT: Quantum computing is emerging as a promising technology that can solve the world’s most complex and computationally intensive problems, including cryptography. Conventional cryptography is now...

Open Access Article

A Harmonic-Type Method for Nonlinear Equations in Banach Space

by Sunil Kumar, Janak Raj Sharma, Ioannis K. Argyros, Samundra Regmi

ABSTRACT: In this work, we investigate the local and semi-local convergence of a harmonic mean Newton-type fourth-order technique for estimating the locally unique solutions of nonlinear systems in Banach...

Open Access Article

Ramanujan Summation for Number of Diagonals in a Polygon

by A. Dinesh Kumar, R. Sivaraman

ABSTRACT: Among several ideas existing in Summability Theory which deals with assigning finite values to infinite divergent series of real numbers, Ramanujan Summation is one among them. There is a well...

Open Access Article

Solving Neutrosophic Multi-Dimensional Fixed Charge Transportation Problem

by S. Sandhiya, Anuradha Dhanapal

ABSTRACT: In the decision making problems, transportation problem (TP) is one of the most significant applications that aim to optimize the objective function of products shipped from different sources to...

Open Access Article

Central Limit Theorem and Law of Large Numbers Analogues for the Total Progeny in the Q-Processes

by Azam A. Imomov, Zuhriddin A. Nazarov

ABSTRACT: In this paper we are dealing with population size growth systems called Q-processes. The class of trajectories of these systems is a subset of the family of all possible trajectories of the...

Open Access Article

A Multi Objective Solution to Integrated Power System in the Presence of Thyristor Controlled Series Compensator

by MD. Yaseen, Sravana Kumar Bali

ABSTRACT: The current geopolitical climate has highlighted the significance of maximizing the world’s energy potential. The optimal use of available assets lowers the cost of electricity to customers. This...

Open Access Article

A Numerical Scheme of a Fractional Coupled System of Volterra Integro-Differential Equations with the Caputo Fabrizio Fractional Derivative

by Tadoummant Lahoucine, Echarghaoui Rachid

ABSTRACT: In this paper, we have developed a new computational scheme for solving coupled systems of fractional order Volterra-type integro-differential equation (FVIDE). We construct new operational...

Open Access Article

Dynamic System State Estimation with a Resilience to Observation Data Anomalies

by Andrii Volovyk, Yulia Pyrih, Oksana Urikova, Andriy Masiuk, Bohdan Shubyn, Taras Maksymyuk

ABSTRACT: In practical scenarios, abrupt alterations in system properties can lead to data distortion and random inaccuracies in observation results. These changes often transpire due to malfunctions or...

Open Access Article

Constructing a Predictive Model for High School Students' Enrolment Results

by Jong-Yih Kuo, Yi-Fang Chung, Hui-Chi Lin, Ping-Feng Wang

ABSTRACT: Nowadays, data-informed decision-making can assist high-school educational decision-making, especially student test scores, and further education data, then these data can be used to inform...

Open Access Article

The Sombor Indices of Banana Tree Graph and Fractal Tree Type Dendrimer

by Thanga Rajeswari K, Manimaran A

ABSTRACT: Topological descriptors are graph-theoretical metrics that allow one to describe a molecular structure’s underlying connectedness. Degree-based topological descriptors have been investigated...

Open Access Article

A Novel Approach for Energy-Efficient Container Migration Using GNBO

by Rukmini S, Shridevi Soma, Rajkumar Buyya

ABSTRACT: Cloud services are increasingly becoming available through containers because of their scalability, portability, and reliable deployment, particularly in microservices and smart vehicles. Due to...

Open Access Article

An EOQ Model for Circularity Index with Waste Minimization and Reduced Emission in Electrical and Electronic Equipment

by Vennila S, Karthikeyan K

ABSTRACT: A circular economy uses limited natural resources and is efficient and environmentally productive. It aims to transform from a "take-make-waste" approach to a more restorative and regenerative...

Open Access Article

Improved Solutions of OHAM Approximate Procedure for Classes of Nonlinear ODEs

by Mohammed Jasim, Nidal Anakira, Lina Kamel, Ala Amourah, Ali Fareed, Khamis S Al Kalbani

ABSTRACT: The primary purpose of this study is to apply the Optimal Homotopy Asymptotic Method (OHAM) to various nonlinear initial value problems of different orders to evaluate its accuracy, convergence,...

Open Access Article

Designing and Testing a Contextual Factors-Based Teaching and Learning Model for Blended Mathematics Instruction

by Mzomwe Yahya Mazana, Calkin Suero Montero, Respickius Casmir Casmir, Solomon Sunday Oyelere

ABSTRACT: The study employs design-based research (DBR) to design the mathematics teaching and learning activity model (M-TLAM) for blended learning instruction in a Tanzanian higher education context. This...

Open Access Article

Mathematical Evaluation and Dynamic Transmissions of a Cervical Cancer Model Using a Fractional Operator

by Rakhi Singh, Ali Akgül, Jyoti Mishra, Vijay Kumar Gupta

ABSTRACT: This scientific research investigates the fractional-order compartmental model of cervical cancer. The human papillomavirus (HPV) is responsible for the development of cervical cancer. The...

Open Access Article

Mathematical Analysis of the Dynamics of COVID-19 in the Face of Vaccination in African Countries

by Paustella Azokpota, Robinah Nalwanga, Yvette Montcho, Kassifou Traoré, Jonas Têlé Doumatè, Romain Glèlè Kakaï

ABSTRACT: (1) Background: The ongoing COVID-19 pandemic has posed significant global challenges; its impact in Africa, in particular, has been a subject of increasing concern. Vaccination against COVID-19...

Open Access Article

Coupled 2D-Fractional Wavelet Transform

by Rajakumar Roopkumar, Ramanathan Kamalakkannan, Ahmed Zayed

ABSTRACT: We introduce a new fractional wavelet transform using the convolution for the coupled fractional Fourier transform. We derive that the fractional wavelet transform satisfies all the expected...

Open Access Article

Approximate Controllability of Semilinear Heat Equation with Noninstantaneous Impulses, Memory, and Delay

by H. Leiva, W. Zouhair, M. N. Entekhabi, E. Lucena

ABSTRACT: A semilinear heat equation with noninstantaneous impulses, memory, and delay is studied. Its approximate controllability is obtained by employing a technique that pulls back the control solution...

Open Access Article

Topological Centers Induced by L1(G)**-Module Actions

by Seyedeh Somayeh Jafari, Younes Zohrevand

ABSTRACT: Let ( π, H ) be a unitary representation of a locally compact group G . Recent works on some topological centers induced by π have studied. This paper continues the investigation in this...

Open Access Article

Spatial Aspects of Acute Respiratory Disease Syndrome: An Application of Scan Statistics Using SaTScan in Identification and Analysis of Hotspot in India

by Priyanka Subramani, Kalpanapriya Dhakshnamoorthy

ABSTRACT: Respiratory illnesses like acute respiratory disease syndrome (ARDS) have been a persistent issue throughout history, rather than being a contemporary concern and have likely afflicted humans...

Open Access Article

Global Stability of Non-critical Traveling Fronts for a Belousov-Zhaboti nskii Model with Time Delay

by Guang-Sheng Chen, Jie-Kun Li, Hai-Miao Meng, Chun-Hong Li, Meng Lv

ABSTRACT: This paper is concerned with the traveling fronts of a Belousov-Zhabotinskii system with a time delay. The stability of the traveling fronts with large speeds is proved by Meng et al. [1]....

Open Access Article

Finite Groups Containing No Blocks of Defect Zero

by Zwelethemba Mpono, Sibusiso Nkosi

ABSTRACT: The irreducible characters of finite groups are always contained in blocks of defects which are nonnegative integers. Even though blocks always exist in finite groups, it is not the case that...

Open Access Article

Analysis of Rainfall Prediction Using Parallel Hybrid Algorithm

by D Karthika, K Karthikeyan

ABSTRACT: Precisely forecasting rainfall precipitation is an intricate and crucial challenge faced by numerous weather forecasters. In this study, we conducted an examination of different statistical models...

Open Access Article

Classes of Ordinary Differential Equations for the Alpha Power Lomax Distribution

by Ibrahim Mahariq, Noor Saeed, Alamgir Khalil, Muhammad Ijaz

ABSTRACT: This paper focuses on the ordinary differential equations (ODEs) of the alpha-power Lomax distribution. The ODEs are derived from the alpha-power Lomax (APL) distribution for the density,...

Open Access Article

Evaluation of the Komlos Conjecture Using Multi-Objective Optimization

by Samir Brahim Belhaouari, Randa AlQudah

ABSTRACT: The Komlos conjecture, which explores the existence of a constant upper bound in the realm of n -dimensional vectors, specifically addresses the function K ( n ). This function, intricately...

Open Access Article

Dark-Singular Straddled Optical Solitons for the Dispersive Concatenation Model with Power-Law of Self-Phase Modulation by Tanh-Coth Approach

by Anwar Ja' afar Mohamad Jawad, Anjan Biswas, Yakup Yildirim, Ali Saleh Alshomrani

ABSTRACT: This paper recovers dark-singular straddled optical solitons for the dispersive concatenation model with power-law of self-phase modulation using the tanh-coth approach. The individual dark or...

Open Access Article

Fifth-Kind Chebyshev Spectral Collocation Treatment for the Volterra Integro-Differential Equation of the Third Kind

by Mahmoud Mokhtar

ABSTRACT: In this research work, we offer an efficient spectral numerical scheme for handling the Volterra integro-differential of the third kind via Chebyshev polynomials of the fifth kind. The celebrated...

Open Access Article

Bias Reduction of Maximum Likelihood Estimation in the Inverse Xgamma Distribution

by Ahmed Abdulhadi Ahmed, Zakariya Yahya Algamal, Olayan Albalawi

ABSTRACT: A distribution for modeling survival data that accounts for flexibility in modeling data with upside-down bathtub-shaped hazard rate functions is the inverse Xgamma distribution (IXG). The maximum...

Open Access Article

Approximate Controllability for Fuzzy Fractional Evolution Equations of Order ∈ (1, 2)

by R Hariharan, R Udhayakumar

ABSTRACT: This study focuses on exploring the concept of approximate controllability in nonlocal Cauchy problems associated with fuzzy fractional evolution equations of order ℓ ∈ (1 , 2). Our approach...

Open Access Article

Rational Numbers and Metallic Ratios

by J. Suganthi, R. Sivaraman

ABSTRACT: Metallic ratios are class of real numbers which are positive roots of specific quadratic equation. In this paper, we had proved results regarding expressing any integer as well as rational numbers...

Open Access Article

A Comparison of Fuzzy and Intuitionistic Fuzzy Frameworks for Individual and Group Replacement Approaches with Scrap Values Using Centroid-Based Ranking Method for Optimal Results

by V. .Saranya, M. Shanmuga Sundari, S. Lakshmi Priya

ABSTRACT: Replacement problems involve managing equipment or machines that degrade over time or with usage and those that fail after reaching specific thresholds. Large, expensive assets, such as machine...

Open Access Article

Mathematical Model of Cancer with Ordinary Differential Equations

by Hagir Wahbi, Ehssan Ahmed, Alaa Abalgaduir, Fahdah Alshammari

ABSTRACT: The cancer cell starts dividing, infiltrating neighboring tissues and traveling throughout the lymphatic system. While there are ways to stop the spread of disease or get rid of infected cells,...

Open Access Article

Optimization of a Two-Warehouse EOQ Model for Non-Instantaneous Deteriorating Items with Polynomial Demand, Advance Payment, and Shortages

by M. Palanivel, S. Vetriselvi

ABSTRACT: In this paper, a two-warehouse inventory model with polynomial time-dependent demand for noninstantaneous deteriorating items is taken into consideration. As advertisement plays a vital role in...

Open Access Article

An Approach of Fuzzy Delphi Method (FDM) to Develop the Risk Management Index in Special Education Mathematics

by Aze Fauziah Suib, Puspa Liza Ghazali, Noryati Alias, Mohamad Afendee Mohamed, Bahyah Abdul Halim

ABSTRACT: According to previous research, low self-efficacy leads to special education mathematics teachers to doubt their self-confidence and experience mathematics anxiety, affecting both the efficiency...

Open Access Article

Heat and Mass Transfer Analysis of Chemically Reactive Powell-Eyring Nanofluid Flow Over a Wedge: A Numerical Approach

by Pooja Agarwal, Reema Jain, K. Loganathan, R. Udhayakumar

ABSTRACT: The present study describes the effects of different parameters on heat and mass transfer phenomena in fluid flow across a wedge. A non-Newtonian chemically reactive Powell-Eyring nanofluid model...

Open Access Article

Generating Pareto Optimal Solutions for Multi-Objective Optimization Problems Using Goal Programming

by Alyaa Hegazy Abdelhamid, Ramadan Hamed Mohamed, Mahmoud Mostafa Rashwan, Aya Rezk Allah Farag

ABSTRACT: Goal programming (GP) is a well-known multi-criteria decision-making tool that is supported by a network of practitioners and researchers who aim to develop its mathematical foundation to cover a...

Open Access Article

Time Cost Trade-Off Problem Using Intuitionistic Fuzzy with Real Time Application in the Field of Construction

by Priyadharshini S, Deepa G

ABSTRACT: In order to assist in locating the critical path in an acyclic network, the Critical Path Method (CPM) employs intuitionistic triangular fuzzy number. Project crashing is a technique used to cut...

Open Access Article

Infinite-Horizon Probability of Ruin for a Variable-Memory Counting Process (Hawkes Process)

by Souleymane Badini, Frédéric Béré, Delwendé Abdoul-Kabir Kafando

ABSTRACT: The reserve R ( t ) of an insurance company denotes the accumulated capital up to time ttt throughout its operational span. While this reserve can be modeled using stochastic processes, the...

Open Access Article

Modelling the VaR Using Integral Probability and Tail Dependence

by Wengoundi Benjamin Nikiéma, Barro Diakarya

ABSTRACT: In this paper, a method is proposed to estimate value at risk (VaR) in a multivariate context by employing the probability integral transformation (PIT) and tail dependence function to model...

Open Access Article

Theorem of Alternative and Scalarization of Optimization Problems in Topological Vector Spaces

by Renying Zeng

ABSTRACT: In this paper, we introduce the definitions of affinelike, preaffinelike, generalized affinelike, and generalized preaffinelike functions by use of "pointed convex cone", and prove that those...

Open Access Article

Mathematical Modeling of Middle East Respiratory Syndrome Coronavirus with Bifurcation Analysis

by Mehmet Yavuz, Mati ur Rahman, Mustafa Yildiz, Hardik Joshi

ABSTRACT: The Middle East respiratory syndrome is a viral respiratory illness. It is caused by a common type of virus called coronavirus. The main objective of the present work, we develop a mathematical...

Open Access Article

Investigating the Relationship Between the Dynamics of the Structure of Intermediate Consumption and Output of Industries: Cross-Country Analysis

by N. A Moiseev, K. G. Sargsyan, T. Chang

ABSTRACT: This paper examines one of the main prerequisites of the inter-industry balance methodology on the proportional dependence of the output of industries and their intermediate consumption. The...

Open Access Article

A Mathematical Fuzzy Transform for Evaluating the Effect of Recombi Nant on Growth Hormone

by B. Mohamed Harif, M. Karthikeyan

ABSTRACT: The fuzzy transform (FT) is a novel, extensively utilized soft computing method with solid mathematical underpinnings. This article presents the technique using data on plasma levels of...

Open Access Article

Solving Interval Type-2 Fuzzy Pentagonal Polynomial Equation Using Horner-Muller's Method

by Nurhakimah Ab. Rahman, Lazim Abdullah, Nuraini Rahim, Ashraf AI-Quran, Ruwaidiah Idris

ABSTRACT: The recent boom in interval type-2 fuzzy sets has attracted many researchers to the fields of fuzzy numbers, algebraic expressions, and iterative methods. Interval type-2 fuzzy pentagonal...

Open Access Article

Enhancing Agricultural Diagnostics through Linear Diophantine Multi-Fuzzy Soft Matrices with Lattice Implementation

by K. Jeevitha, J. Vimala, K. Ashma Banu, S. Nithya sri

ABSTRACT: A sophisticated conceptual process that is essential for system analysis and farming practice decision-making is agricultural modeling. Since, agricultural processes are rife with uncertainties...

Open Access Article

The SOR and AOR Methods with Stepwise Optimized Values of Parameters for the Iterative Solutions of Linear Systems

by Chein-Shan Liu, Chih-Wen Chang

ABSTRACT: We modify the successive overrelaxation (SOR) method and accelerated overrelaxation (AOR) method for solving linear equations systems. The optimal value of the acceleration parameter is...

Open Access Article

ML-Based Approach to Predict Carotid Arterial Blood Flow Dynamics

by T Raja Rani, Abdullah Al Shibli, Mohamed Siraj, Woshan Srimal, Nooh Zayid Suwaid Al Bakri, T S L Radhika

ABSTRACT: In the current study, a numerical model has been developed to simulate the blood flow characteristics in the human carotid artery. The data thus generated is analyzed to understand the blood flow...

Open Access Article

New Lifetime Regression Model with Application to Prostate Cancer Data

by Gauss M. Cordeiro, Edwin M. M. Ortega, Michael W. Kattan, Roberto Vila, Mohamed Hussein

ABSTRACT: A new five-parameter extended fatigue lifetime model named the Weibull generalized gamma distribution is introduced, which generalizes different distributions widely used in survival and...

Open Access Article

Odd and Even q-Type Lidstone Polynomial Sequences

by Zeinab S. I. Mansour, Maryam A. Al-Towailb

ABSTRACT: In this paper, we introduce two general classes of q -type Lidstone polynomial sequences. We give some characterizations of these classes, including matrix and determinate representations,...

Open Access Article

Fractional Frontier: Navigating Cauchy-Type Equations with Formable and Fourier Transformations

by Mohd Khalid, Ali Akgül

ABSTRACT: The Formable integral transform for the Hilfer-Prabhakar and Prabhakar fractional derivatives, as well as their regularised forms, are derived in this article. We solve several Cauchy-type...

Open Access Article

Haar Wavelet Collocation Algorithm for the Numerical Solution of Volterra Integrodifferential Form of Emden-Fowler Type Equations

by Ratesh Kumar, Sabiha Bakhtawar

ABSTRACT: This research investigates the application of non-dyadic Haar wavelets to analyze Emden-Fowler equations, which find diverse uses across scientific domains. The central challenge associated with...

Open Access Article

Fixed Point Results for Geraghty Type Contractions in Extended Rec-tangular Fuzzy b-metric Space with an Application

by Faisar Mehmood, Muhammad Sohail Ashraf, Nawab Hussain, Ghada Basendwah

ABSTRACT: The aim of this paper is to define the notions of extended fuzzy b -metric spaces, fuzzy rectangular b -metric spaces and extended fuzzy rectangular b -metric spaces and to establish certain...

Open Access Article

Analytical and Computational Results for Neutral Impulsive Fractional System on Time Scales

by V. Emimal Navajothi, S. Selvi, Ali Akgul

ABSTRACT: This paper delves into the existence and uniqueness of neutral fractional integro-differential impulsive dynamic equations across various time scales, enriched by nonlocal initial conditions using...

Open Access Article

Parameter Estimation of Chikungunya in the Case of Incomplete Information about Its Model

by Feranmi E Olayiwola, Michael Y Shatalov, Samuel A Surulere

ABSTRACT: This paper presents solutions to the problem of parameter estimation of mathematical model of Chikungunya with incomplete information about the model parameters. The process involves finding a set...

Open Access Article

Comparison of Various Ranking Methods with Pareto Distribution Methods in Imprecise Data

by Pulloru Bhavana, D Kalpana Priya

ABSTRACT: The Pareto distribution has seen wide application in many different fields recently. Nowadays, the data we collect may be imprecise and contain uncertainties. This means that the values we gather...

Open Access Article

Exploring Multivariate Statistics: Unveiling the Power of Eigenvalues in Wishart Distribution Analysis

by Randa A. Makled, Weihu Cheng

ABSTRACT: This research examines how degrees of freedom and covariance matrix configurations affect Wishart distributed matrix eigenvalue distributions. We use the energy distance metric to compare...

Open Access Article

On a Matrix Trace Inequality for Hermitian Matrices

by Areerak Chaiworn

ABSTRACT: Da-Wei Chang, obtained the matrix trace inequality for Hermitian matrices  for any integer k . In this paper, we give an equality condition for this inequality by using the weak majorization of...

Open Access Article

Building Renovation by Using Maximum Edge Distance Method

by S. Priyadharshini, G. Deepa

ABSTRACT: In this competitive world, it is becoming more difficult to manipulate the entities for project managers and organizers to come up with successful project management strategies. Here, we introduce...

Open Access Article

An Approach to Solve Gas Dynamic Equation by Fuzzy Hilfer Fractional Differential Equation

by Vanitha K, Saradha M, Antline Nisha B, Udhayakumar R

ABSTRACT: In this work, Adomian decomposition method (ADM) based on Hilfer derivative is proposed to solve nonlinear fuzzy fractional gas dynamic equation. We reform the provided fractional gas dynamic...

Open Access Article

Complex Roots-Finding Method of Nonlinear Equations

by Anujeet Siwach, Reetu Malhotra

ABSTRACT: Various researchers developed numerical methods to solve nonlinear equations. But still, there is a need to improve these methods to get accurate results. Some techniques exist where convergence...

Open Access Article

Effective Method for Solving Higher-Order Fractional Differential Equations Using Spline Functions

by Adel Al-rabtah

ABSTRACT: In this paper, appropriate spline functions in polynomial form are outlined and applied to solve higher-order linear fractional differential equations (H-OLFDEs). Several techniques have been...

Open Access Article

Highly Dispersive Optical Solitons with Differential Group Delay for Kerr Law of Self-Phase Modulation by Sardar Sub-Equation Approach

by Anwar Ja' afar Mohamad Jawad, Yakup Yildirim, Anjan Biswas, Ibraheem Kasim Ibraheem, Ali Saleh Alshomrani

ABSTRACT: The paper reports highly dispersive optical soliton solutions that are recovered with differential group delay with Kerr law of self-phase modulation. The Sardar' s sub-equation approach is...

Open Access Article

An Improved Z-Source Inverter Topology with Fewer Passive Components: Hardware Validation and Modelling

by Tushar Tyagi, Amit Kumar Singh, Himanshu Sharma, Rintu Khanna

ABSTRACT: This research investigated a novel Z-source inverter architecture with fewer passive components. The offered inverter has several advantages, including low-frequency switching at 50 Hz, a...

Open Access Article

Digital Image Processing Using Coefficients of Sakaguchi Kind Function Defined in Limacon Shaped Domain with Power Law Transformation

by Priya H, Sruthakeerthi B

ABSTRACT: Digital image processing is a constantly evolving field that focuses on digital image analysis, enhancement, and modification. Another popular approach used to improve the aesthetic appeal and...

Open Access Article

An Efficient Algorithm for Solving the 2-MAXSAT Problem

by Yangjun Chen

ABSTRACT: In the maximum satisfiability (MAXSAT) problem, we are given a set V of m variables and a collection C of n clauses over V . We will seek a truth assignment to maximize the number of...

Open Access Article

On Equitable Colorings of Windmill Graphs

by Elumalai P, Parthiban A

ABSTRACT: Let G be an undirected simple graph. Graph coloring is a special case of labeling, and G is said to admit a proper coloring if no two neighbouring vertices of it are given the identical color....