Contemporary Mathematics, Volume 5 Issue 1 (2024), 1-1121

Open Access Article

Controllability of Hilfer Fractional Semilinear Integro-Differential Equation of Order α ∊ (0, 1), β ∊ [0, 1]

by Vidushi Tripathi, Sanjukta Das

ABSTRACT: In this paper, Hilfer fractional differential equation is studied. Firstly, we used Laplace transform and semigroup theory to find the mild solution of the system. Then exact controllability of...

Open Access Article

Impact of Seasonality and Vertical Transmission on Mosquito Population in the Dynamics of Dengue Disease

by Ahuod S. Alsheri

ABSTRACT: Many epidemic diseases are season-related. Dengue is one of them. Since it is associated with a mosquito’s life cycle, it is genuinely affected by weather changes. In this paper, we model the...

Open Access Article

On r-dynamic Coloring of Ladder Graph and Tadpole Graph Using m-shadow Operation

by I. H. Agustin, A. Irin Feno, K. Abirami, M. Venkatachalam, Dafik, N. Mohanapriya

ABSTRACT: An r -dynamic coloring is a proper k -coloring of a graph G = { V , E } such that the neighbors of every vertex v ∈ V ( G ) is colored using ς : V ( G ) → S ( c ) where S ( c ) is a set...

Open Access Article

Synergistic Optimization of Unit Commitment Using PSO and Random Search

by Rajasekhar Vatambeti, P. K. Dhal

ABSTRACT: Optimizing the order of thermal units for power generation plays a pivotal role in meeting load demand while minimizing fuel consumption. This paper introduces an enhanced hybrid method designed...

Open Access Article

A Type-2 Fuzzy u-Control Chart Considering Probability-Based Average Run Length

by Nur Hidayah Mohd Razali, Lazim Abdullah, Ahmad Termimi Ab Ghani, Asyraf Afthanorhan, Mojtaba Zabihinpour

ABSTRACT: Fuzzy sets are an emerging trend in shaping the development of control charts for statistical process control. The sets are germane to vague data that comes from incomplete or inaccurate...

Open Access Article

Conjugacy Class Graph of Some Non-Abelian Groups

by Chinmayee Kumar, Kuntala Patra

ABSTRACT: The conjugacy class graph of a group G is a graph whose vertices are the non-central conjugacy classes of G and two vertices are adjacent if their cardinalities are not co-prime. In this...

Open Access Article

Developing an Effcient Framework and Mathematical Modelling for Municipal Solid Waste Management in India

by Arunava Majumder, Avinandan Puhan, Abhijit Majumder, Gurpreet Kaur, Manoj Singh Adhikari

ABSTRACT: An increase in municipal waste has become one of the biggest problems today. Managing waste is a big challenge for every country. Municipal waste management includes transportation and recycling...

Open Access Article

Stochastic Perturbation of Optical Solitons for the Concatenation Model with Power-Law of Self-Phase Modulation Having Multiplicative White Noise

by Ahmed H. Arnous, Anjan Biswas, Yakup Yildirim, Ali Saleh Alshomrani

ABSTRACT: Addressing the concatenation model, this paper explores the incorporation of power-law self-phase modulation and spatio-temporal dispersion, in addition to the chromatic dispersion. The inclusion...

Open Access Article

Exact Solutions of Benjamin-Bona-Mahoney-Burgers Equation with Dual Power-Law Nonlinearity by Modified Exp-Function Method

by Manjeet Sharma, Rajesh Kumar Gupta

ABSTRACT: In this work, the Benjamin-Bona-Mahoney-Burgers equation has been examined, which includes the dual power-law nonlinearity and diffraction term. By using the modified exp-function method, the...

Open Access Article

A New Inequality on Jain-Saraswat' s Divergence for S-Convex Functions

by Praphull Chhabra

ABSTRACT: In this article, a new inequality on Jain-Saraswat divergence measure is investigated for s -convex functions, which includes convex functions as a special case. Further, by using this...

Open Access Article

A Fractional-Order Mathematical Model of Banana Xanthomonas Wilt Disease Using Caputo Derivatives

by A. Manickam, M. Kavitha, A. Benevatho Jaison, Arvind Kumar Singh

ABSTRACT: This article investigates a fractional-order mathematical model of Banana Xanthomonas Wilt disease while considering control measures using Caputo derivatives. The proposed model is numerically...

Open Access Article

An Algorithm for Solving Pseudomonotone Variational Inequality Problems in CAT(0) Spaces

by Asifa Tassaddiq, Amna Kalsoom, Asifa Batool, Dalal Khalid Almutairi, Sehar Afsheen

ABSTRACT: In this paper, we presents strong and ∆-convergence results within the framework of CAT(0) space for pseudomonotone mappings. Additionally, we approximate the solution for variational inequality...

Open Access Article

Existence and Stability Results of Nonlinear Random Impulsive Integro-Differential Evolution Equations with Time-Varying Delays

by Sahar M. A. Maqbol, Rupali S. Jain, B. Surendranath Reddy

ABSTRACT: This study examines the existence, uniqueness, and stability of the nonlinear random impulsive integrodifferential equations with time-varying delays under sufficient conditions. Our study is...

Open Access Article

Numerical PDE-Based Pricing of Convertible Bonds Under Two-Factor Models

by Radha Krishn Coonjobeharry, Dhiren Kumar Behera, Nawdha Thakoor

ABSTRACT: Convertible bonds are popular financial instruments by which firms raise capital. Owing to the various features of such bonds, especially the early-exercise call, put, and conversion provisions,...

Open Access Article

Analytical Solution of One-Dimensional Keller-Segel Equations via New Homotopy Perturbation Method

by Ali Slimani, Sadek Lakhlifa, Amar Guesmia

ABSTRACT: For solving a system of nonlinear partial differential equations (PDE) emerging in an attractor one-dimensional chemotaxis model, we used a relatively new analytical method called the new modified...

Open Access Article

A Study on Approximate Controllability of Ψ-Caputo Fractional Differential Equations with Impulsive Effects

by C. S. Varun Bose, R. Udhayakumar, V. Muthukumaran, S. Al-Omari

ABSTRACT: In this article, we studied the approximate controllability of Ψ-Caputo fractional differential systems. We prove the sufficient conditions for an abstract Cauchy problem invloving infinite delay,...

Open Access Article

On the Eigenvalues of a Soluble Model of Coupled Molecular and Nuclear Hamiltonians

by Tulkin H. Rasulov, Elyor B. Dilmurodov

ABSTRACT: In this paper, a special type of soluble model corresponding to a coupled molecular and nuclear Hamiltonians H , the so-called generalized Friedrichs model, is considered. We aim to determine and...

Open Access Article

Analysis of a Single Server Retrial Queueing System with Finite Capacity, F-Policy, Balking, Reneging and Server Maintenance

by R. Jeyachandhiran, P. Rajendran

ABSTRACT: In this paper, we determine a single server retrial queuing system with finite capacity, F-policy, balking, reneging and server maintenance. The arriving customer when notices the server becomes...

Open Access Article

Reliability Evaluation of a Wireless Sensor Network in Terms of Network Delay and Transmission Probability for IoT Applications

by Pranati Mishra, Ranjan Kumar Dash, Deeapak Kumar Panda, Ashish, Bechoo Lal, Nukala Sujata Gupta

ABSTRACT: Reliability is a crucial performance metric for wireless sensor networks (WSNs) because it ensures network functionality even with degraded sensor nodes and wireless connections. Due to the...

Open Access Article

Computational Approach on Convective-Magneto Trihybrid Nanoflow with Space Dependent Energy Source/Sink: Drug Delivery

by B Vinothkumar, T Poornima

ABSTRACT: Iron oxide, Silver, Aluminium oxide, these nanoparticles individually or combined help in drug delivery especially aluminium oxide nanofluid used in an anti-blood pressure drug called...

Open Access Article

Impact of Inspection Error of an Economic Production Quantity Model with Acceptance Sampling, Defective Items, and Rework

by Palanivel M, Venkadesh M

ABSTRACT: In this model, the manufacturer needs to inspect and rework defective items due to the flawed manufacturing process. When checking for defective products, two types of errors, namely Type 1 error...

Open Access Article

Topological Indices and Structural Properties of Cubic Power Graph of Dihedral Group

by Pankaj Rana, Amit Sehgal, Pooja Bhatia, Parvesh Kumar

ABSTRACT: The cubic power graph of finite group G with identity element e , is an undirected finite, simple graph in which a pair of distinct vertices x , y have an edge iff xy = z 3 or yx = z...

Open Access Article

Singular Perturbations and Large Time Delays Through Accelerated Spline-Based Compression Technique

by Akhila Mariya Regal, Dinesh Kumar S

ABSTRACT: In the quest to solve the singularly perturbed delay differential equations (SPDDEs) involving large delay with integral boundary condition, the cubic spline in compression technique is explored...

Open Access Article

Solving Nonlinear Time-Fractional Partial Differential Equations Using Conformable Fractional Reduced Differential Transform with Adomian Decomposition Method

by R. S. Teppawar, R. N. Ingle, R. A. Muneshwar

ABSTRACT: In this article, we use a new technique called conformable fractional reduced differential transform (CFRDT) with Adomian decomposition to estimate the solution of one and two-dimensional...

Open Access Article

Modeling and Analysis of Fractional Order Logistic Equation Incorporating Additive Allee Effect

by Preety Kalra, Nisha Malhotra

ABSTRACT: This study investigates the logistic model of a single species incorporating the additive Allee effect using Caputo fractional order differential equations. The Allee effect describes a positive...

Open Access Article

On Two Simple, Three-Parameter, Three-Dimensional, Non-Exchangeable Copulas

by Christophe Chesneau

ABSTRACT: In this paper, we use the notion of a copula to provide theoretical contributions to the development of three-dimensional dependence models. In particular, we suggest two new three-dimensional...

Open Access Article

Benefits of Preservation, Green and Quality Improvement Investment for Waste Management in Sustainable Supply Chain under Fuzzy Learning and Inflation

by Vaishali Singh, S. R. Singh, Surendra Vikram Singh Padiyar

ABSTRACT: In the modern world, waste management, incorporating the quality of the products, energy consumption, and environmental concern have become significant challenges for supply chain managers. Also,...

Open Access Article

Data Dependence and Existence and Uniqueness for Hilfer Nabla Fractional Difference Equations

by N. S. Gopal, Jagan Mohan Jonnalagadda, Jehad Alzabut

ABSTRACT: In the present article, we establish sufficient conditions for the existence of a unique bounded solution using a prominent fixed-point theorem for the non-linear initial value problem involving...

Open Access Article

Advancing Computational Insights: Domination Topological Indices of Polysaccharides Using Special Polynomials and QSPR Analysis

by Suha Wazzan, Hanan Ahmed

ABSTRACT: Topological indices play a pivotal role in deciphering the structural and physicochemical properties of complex molecular structures, especially polysaccharides like amylose and blue starch-iodine...

Open Access Article

Distribution State Estimation and Its Impact of Load Modeling

by M. Laskhmi Swarupa, V. Ganesh Kumar, K. Sree Latha, Manam Ravindra, B. Praveen Kumar

ABSTRACT: To maintain system security and other essential parameters like reliability and quality, continuous monitoring of the system is very important. Considering the distribution network, state...

Open Access Article

Memory-Efficient Interpolatory Projection Techniques for the Stabilization of Incompressible Navier-Stokes Flows

by Mahtab Uddin, M. Monir Uddin, Md. Abdul Hakim Khan

ABSTRACT: In this article, we are proposing an updated form of Krylov subspace-based interpolatory projection techniques for the stabilization of incompressible Navier-Stokes flows. In the proposed...

Open Access Article

Analysis of Charge and Current Flow in the LCR Series Circuit via Chebyshev Wavelets

by Inderdeep Singh, Preeti

ABSTRACT: In this research paper, an investigation of charge and current flow in an LCR series circuit has been presented. For this purpose, basis functions of Chebyshev wavelets of the second kind have...

Open Access Article

The Dynamic Behavior of Conjugate Multipliers on Some Reflexive Banach Spaces of Analytic Functions

by Zhen Rong

ABSTRACT: In this paper, we characterize the hypercyclic, mixing and chaotic conjugate multipliers on some reflexive spaces of analytic functions. Our results extend several well-known results in the...

Open Access Article

An Application of the Caputo Fractional Domain in the Analysis of a COVID-19 Mathematical Model

by Chandrali Baishya, Sindhu J. Achar, P. Veeresha

ABSTRACT: Vaccination programs aimed at preventing the spread of the coronavirus appear to have a significant global impact. In this research, we have investigated a mathematical model projecting COVID-19...

Open Access Article

A Robust Numerical Method for a Singularly Perturbed Semilinear Problem with Integral Boundary Conditions

by Zelal Temel, Musa Cakir

ABSTRACT: In the present study, we provide an efficient numerical approach for solving singularly perturbed nonlinear ordinary differential equations with two integral boundary conditions. We specifically...

Open Access Article

Optical Solitons with Differential Group Delay and Inter-Modal Dispersion Singlet

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

ABSTRACT: This paper introduces a state of the art investigation into the interaction between soliton propagation and differential group delay, offering a fresh perspective often neglected in previous...

Open Access Article

Mining the High Dimensional Biological Dataset Using Optimized Colossal Pattern with Dimensionality Reduction

by T. Sreenivasula Reddy, R. Sathya, Mallikhanjuna Rao Nuka

ABSTRACT: Recent years have seen a lot of attention paid to the mining of enormous item sets from high-dimensional databases. Small and mid-sized data sets take a long time to mine with traditional...

Open Access Article

Representation of Omitted Variable Bias with the Total Derivative Method

by Tolga Omay, Zeynep Elitaş

ABSTRACT: This study aims to provide an understanding of the concept of omitted variable bias through the total derivative method. This novel approach that is often overlooked could bring a new perspective...

Open Access Article

Face Bimagic Mean Labeling of Herschel Graphs and Its Operations

by S. Vani Shree, S. Dhanalakshmi

ABSTRACT: A bijection ϕ : V ( G )→{1,2, . . . , | V ( G )|} is called a (1,0,0)-F-face bimagic mean labeling (FBMML) of G if the induced face labeling ϕ *( f i ) = = = k 1 or k 2 , constant....

Open Access Article

Novel Generalized Entropy Measure's Characteristics Associated with Code-Word Length

by Aakanksha Dwivedi , R. N. Saraswat

ABSTRACT: In this article, we introduce a novel, all-purpose entropy measure and derive a new, all-purpose average codeword length in accordance with it. After that, we determined new average generalized...

Open Access Article

Stability and Data Dependence Results for Jungck-type Iteration Scheme

by Puneet Sharma, Ioannis K. Argyros, Ramandeep Behl, Vinay Kanwar

ABSTRACT: We propose and study a new Jungck-type iteration scheme to approximate coincidence points of contractive mappings. The strong convergence, stability, and data dependency results have been...

Open Access Article

Control Policy, Manageable Arrival Rates, and Reverse Balking in Mutually Dependent Queueing Model

by Antline Nisha B, Balaji R, Saradha M

ABSTRACT: A single server has a limited amount of storage and processing power dependent queueing model with examination of a control strategy, manageable rates of arrival and balking in reverse is examined...

Open Access Article

Fuzzy SEIR Modeling and Analysis of COVID-19 Spread and Control

by S. Sweatha, S. Sindu Devi

ABSTRACT: The main objective of the paper is to construct an susceptible-exposed-infected-recovered (SEIR) mathematical model by considering the transmission rate, death rate, and recovery rate as fuzzy...

Open Access Article

Hilfer Fractional Neutral Stochastic Differential Inclusions with Clarke’s Subdifferential Type and fBm: Approximate Boundary Controllability

by K. Nandhaprasadh, R. Udhayakumar

ABSTRACT: In this paper, the approximate boundary controllability of Hilfer fractional neutral stochastic differential inclusions with fractional Brownian motion (fBm) and Clarke’s subdifferential in...

Open Access Article

Some New Results on the Number of Tagged Parts Over the Partitions with Designated Summands

by Abhay Mehta, Vandna, Mandeep Kaur

ABSTRACT: The partitions with designated summands were introduced. In such partitions, among those parts of the same magnitude, one is tagged or designated. This work presents some new results on partitions...

Open Access Article

Extended Higher Order Iterative Method for Nonlinear Equations and its Convergence Analysis in Banach Spaces

by Gagan Deep, Ioannis K. Argyros, Gaurav Verma, Simardeep Kaur, Rajdeep Kaur, Samundra Regmi

ABSTRACT: In this article, a novel higher order iterative method for solving nonlinear equations is developed. The new iterative method obtained from fifth order Newton-Özban method attains eighth order of...

Open Access Article

Fixed Point Iterations for Functional Equations and Split Feasibility Problems in CAT(0) Spaces

by Latif Ur Rahman, Muhammad Arshad, Hasanen A. Hammad, Manuel De la Sen

ABSTRACT: Among other things, finding solutions for functional as well as other types of problems (including differential and integral) by suggesting fixed-point procedures is a difficult task, especially...

Open Access Article

Radiative Impact on Jeffery Trihybrid Convective Nanoflow over an Extensible Riga Plate: Multiple Linear Regression Analysis

by N Bhargavi, Poornima T

ABSTRACT: Solar thermal systems utilize solar energy to generate heat, and the incorporation of nanoparticles such as Al 2 O 3 -Cu-Ni with a water base can elevate their efficiency. These nanofluids,...

Open Access Article

Feasibility and Stability Analysis for Basic Measles Model Using Fuzzy Parameter

by H. A. Bhavithra, S. Sindu Devi

ABSTRACT: In this article, we investigate the behaviors of the measles viral pandemic using fuzzy susceptible-infectiousrecovered (SIR) model. To examine the effects of various compartment phases, we...

Open Access Article

Solution of Linear PDEs Obtained Using the Laplace Transform

by Hwajoon Kim

ABSTRACT: In this research, the solution of linear partial differential equations (PDEs) is obtained using the Laplace transform. The solution of linear PDEs using the Laplace transform has the advantage...

Open Access Article

Simulation of Fractional Order 2D-Mathematical Model Using α-Fractional Differential Transform Method

by S. N. Thorat, K. P. Ghadle, R. A. Muneshwar

ABSTRACT: In this paper, we will introduce a well-known transformation technique, the modified α-fractional differential transform, to the differential equation of fractional order. We derive some new...

Open Access Article

Solving Nonlinear Fractional Differential Equations by Using Shehu Transform and Adomian Polynomials

by Amandeep Singh, Sarita Pippal

ABSTRACT: The current article provides a detailed analysis of the solution of non-linear ordinary differential equations of fractional and non-fractional order in series forms using the Shehu transform (ST)...

Open Access Article

Numerical Investigation of Fractional Kawahara Equation via Haar Scale Wavelet Method

by Ratesh Kumar, Jaya Gupta

ABSTRACT: The Kawahara equation is a fifth-order dispersive equation that plays a significant role in explaining the creation of non-linear water waves in the long-wavelength region. In this research, the...

Open Access Article

On Testing of Fuzzy Hypothesis for Mean and Variance Using Centroid-Based New Distance Function Under Symmetric Fuzzy Environment

by A Hari Ganesh, N Jaimaruthi, R Ramesh, M Seenivasan

ABSTRACT: This paper discusses the problem of testing fuzzy and statistical hypotheses of the observed data are from a symmetric fuzzy environment. In this approach, many fuzzy tests statistics are obtained...

Open Access Article

Caristi-Type Fixed-Point Theorems in the Framework w-Distances

by Mahboobeh Zakeri, Abbas Sahleh, Hossein Lakzian, Vladimir Rakočević

ABSTRACT: The aim of this paper is to generalize Caristi’s theorem, Bollenbacher and Hicks’ theorem, and also Hicks and Rhoades’ theorem by substituting the continuity assumption with relatively weaker...

Open Access Article

A Study of Some Problems on the Dirichlet Characters (mod q)

by Ali H. Hakami

ABSTRACT: Consider q to be an integer, and χ to be a Dirichlet character (mod q ). The main purpose of this paper is using the analytic methods to study some problems related to the Dirichlet character...

Open Access Article

Stability of Solutions to a Caginalp Phase-Field Type Equations

by Mohamed Ali Ipopa, Brice Landry Doumbé Bangola, Armel Andami Ovono

ABSTRACT: This paper is concerned with the study of the asymptotic behavior of a generalization of the Caginalp phase-field model subject to homogeneous Neumann boundary conditions and regular potentials...

Open Access Article

Identity and Access Control Techniques for Enhanced Data Communication in Cloud

by Rashmi Dixit, K. Ravindranath

ABSTRACT: The preservation of sensitive data and prevention of unauthorized access are critical objectives in cloud computing environments, necessitating the implementation of robust security measures. The...

Open Access Article

The Generalized Odd Maxwell-Kumaraswamy Distribution: Its Properties and Applications

by Aliyu Ismail Ishaq, Uthumporn Panitanarak, Alfred Adewole Abiodun, Ahmad Abubakar Suleiman, Hanita Daud

ABSTRACT: This study introduces a novel family of continuous probability distributions using Alzaatreh‘s technique to explore the Generalized Odd Maxwell-Generated (GOM-G) distribution family. Within the...

Open Access Article

Fejér-Quadrature Collocation Algorithm for Solving Fractional Integro-Differential Equations via Fibonacci Polynomials

by Y. H. Youssri, A. G. Atta

ABSTRACT: In this article, we introduce a novel spectral algorithm utilizing Fibonacci polynomials to numerically solve both linear and nonlinear integro-differential equations with fractional-order...

Open Access Article

On Some New Approach of Paranormed Spaces

by Reham A. Alahmadi

ABSTRACT: The object of this paper is to bring out the space r q B ( g , p ) of non-absolute patterns. Also, we will structure its completeness property. Also, the Köthe duals will be determined....

Open Access Article

Intelligent Trajectory for Mobile Element in WSNs with Obstacle Avoidance

by Dasari Gowthami, Ebenezer Jangam, Suman Prakash P., Pallavi Joshi

ABSTRACT: In wireless sensor networks (WSNs), mobile sink-driven data acquisition can mitigate hotspot issues, which further increases WSN efficiency, such as throughput, lifetime, and energy efficiency,...

Open Access Article

Impact of Local Thermal Non-Equilibrium and Gravity Fluctuations on the Onset of a Darcy-Brinkman Porous Convection

by Gangadharaiah Y H, Manjunatha N, Nagarathnamma H, R. Udhayakumar

ABSTRACT: The numerical investigation of the Darcy-Brinkman convective problem with gravity fluctuations in a Local Thermal Nonequilibrium (LTNE) model is conducted. Utilizing linear stability analysis, the...

Open Access Article

An EOQ Model Under the Condition of Permissible Delay in Payments with Allowed Stock-Out Cost and Lead Time

by Jayanthi J

ABSTRACT: From this present study, derive the two consecutive demands between the time intervals: economic order quantity and total annual variable cost. The solution for this inventory model is optimizing...

Open Access Article

Ramanujan Summation for Pascal's Triangle

by A. Dinesh Kumar, R. Sivaraman

ABSTRACT: The concept of Pascal's triangle has fascinated not only professional mathematicians but also everyone interested in exploring science. Similarly, the idea of Ramanujan summation has made a...

Open Access Article

The Study of Stability Analysis of Modified Leslie-Gower Herbivore Model with Allee Effect in Plants

by Pankaj Kumar, Rupali Verma

ABSTRACT: A modified Leslie-Gower plant-herbivore model is studied under the Allee effect. Holling-type II functional response is used to modify the model. Delay differential equations play an essential...

Open Access Article

Linearizations of Cubic Two-Parameter Eigenvalue Problems and Its Vector Space

by Niranjan Bora, Bharati Borgohain, Barnali Sharma

ABSTRACT: The paper considers the study of linearization techniques of cubic two-parameter matrix polynomial (CTMP). We analyze vector spaces of linearization of CTMP, namely ansatz vector space and double...