Contemporary Mathematics, Volume 6 Issue 3 (2025)



Open Access Article

Fefferman's Inequality in Weighted Morrey Spaces

by Nicky Kurnia Tumalun, Philotheus E. A. Tuerah, Derel F. Kaunang, Marvel G. Maukar

ABSTRACT: We prove Fefferman's inequality in weighted Morrey spaces in this paper. More precisely, for the weight w belonging to booth A 1 and ∆ 2 , κ = ( n − 2 p ) / n , and f belonging to the...

Open Access Article

Exploration of Some Novel Integral Inequalities Pertaining to the New Class of (k, ρ)-Conformable Fractional Integrals

by Warda, Gauhar Rahman, Muhammad Samraiz, Salma Haque, Nabil Mlaiki

ABSTRACT: Conformable integrals and derivatives have received more attention in recent years as a means of determining different kinds of inequalities. In the research work, we define a novel class of ( k...

Open Access Article

Improvement of the Fuzzy Clustering Algorithm for Medical Image Segmentation and Denoising Using Fast Bilateral Filtering

by Omid Darvishi, Vafa Maihami, Keyhan Khamforoosh

ABSTRACT: Medical image analysis often faces challenges due to noise, which can obscure crucial diagnostic information and hinder precise segmentation. Traditional denoising methods often fail to...

Open Access Article

Some Fast Summations of Fourier Series and Properties of Their Dirichlet-Type Kernels

by Anry Nersessian

ABSTRACT: One of the new approaches to accelerating the Fourier series's convergence is using a specific parametric biorthogonal system. In the simplest case, we discuss the so-called "traditional", simple...

Open Access Article

Intelligent Agent-Based Simulation of Fire Propagation in Multiple Environments

by Mailyn Moreno-Espino, Lázaro Michel Reyes-Valdés, Robert Ruben Benitez, Ariel López-González, Cornelio Yáñez-Márquez, Yahima Hadfeg-Fernández

ABSTRACT: Wildfire propagation in urban and forest environments poses significant challenges, particularly in regions like Cuba, where the interplay of diverse environmental factors amplifies the risks....

Open Access Article

Enhancing AI Depression Detection Using Transfer Learning

by Na Wang, Raja Kamil, Syed Abdul Rahman Al-Haddad, Normala Ibrahim, Zhen Zhao

ABSTRACT: Depression is a serious mental health disorder that poses significant challenges to individuals’ emotional well-being, daily functioning, and overall quality of life. While artificial intelligence...

Open Access Article

Parametrization Framework for the Deceleration Parameter in Scalar Field Dark Energy Model

by Aroonkumar Beesham

ABSTRACT: The universe is currently experiencing acceleration. One way to explain this is via matter with negative energy, called dark energy. We propose a Friedmann-Lemaitre-Robertson-Walker cosmological...

Open Access Article

On Some New Milne-type Inequalities for Strongly Convex Functions

by Pradyumn Singh, Shashi Kant Mishra, Pankaj Kumar, Abdelouahed Hamdi

ABSTRACT: In this paper, we explore new Milne-type fractional integral inequalities, focusing on functions that are strongly convex and differentiable. We use tools like the Hölder inequality and the...

Open Access Article

Decision Making on Statistical Convergence of Sequences of Sets of Order (α, β)

by Sunil K. Sharma, Ravi Kumar, Ajay K. Sharma, Arafa O. Mustafac, Hala S. Mahgoub, Albasha A. Gounid, Awad A. Bakery

ABSTRACT: In this paper we define Wijsman λ -statistical convergence of order ( α, β ) and studied some properties of this concept. We also make an effort to define Wijsman λ -statistical convergence of...

Open Access Article

Decompositions of Single-Valued Neutrosophic Continuity via Primalization

by Fahad Alsharari

ABSTRACT: This paper introduces new single-valued neutrosophic closure operators based on single-valued neutrosophic primals, laying the foundation for single-valued neutrosophic primal topologies. This...

Open Access Article

Automatic Recognition of Human Psychological State Based on EEG Data

by Kartlos Kachiashvili, Joseph Kachiashvili, Vakhtang Kvaratskhelia

ABSTRACT: The paper deals with the problem of binary classification of Electroencephalography (EEG) data using ordinary personal computers at making computation in real time. Eleven different criteria of...

Open Access Article

Non -Alcoholic Fatty Liver Early Prediction Using Squared Reinforcement Learning Based on Primary Biliary Cirrhosis

by Milad Tarighat, Javad Mohammadzadeh, Hadi Saboohi, Alireza Nikravanshalmani

ABSTRACT: Biomedical engineering and artificial intelligence encompass many intricate challenges worthy of investigation. An essential challenge within this domain is identifying an effective classifier...

Open Access Article

Energy Storage System Selection for AI-Controlled Microgrids Using Complex Hesitant Fuzzy MCDM Approach Based on Dombi Operators

by Tahir Mahmood, Raja Zohaib Hayat, Jabbar Ahmmad, Ubaid ur Rehman, Dragan Pamucar

ABSTRACT: The current definition of the Complex Hesitant Fuzzy Set (CHFS), derived from the Ramot form of complex numbers, cannot process information as in Tamir’s complex fuzzy form. We have data with...

Open Access Article

Uniqueness of the Adjoint Problem in the Lagrange Sense for a Non-Local Boundary Problem with Complex Parameter

by Nihan A. Aliyev, Mahir A. Rasulov, Bahaddin Si̇nsoysal

ABSTRACT: The article is devoted to the problem of finding conjugate boundary conditions for a nonlocal conditional problem for a homogeneous ordinary differential equation of the second order, the...

Open Access Article

Enhanced Frequency Control in Power Systems Using a Novel Meerkat Optimization Algorithm

by Yousefali Javanighadikolaei, Mohammad Tolou Askari, Meysam Amirahmadi, Majid Babaeinik

ABSTRACT: Frequency regulation in power systems remains a significant challenge due to inherent nonlinearities and dynamic load variations. This paper introduces a novel adaptive control strategy that...

Open Access Article

Liouville Theorems and Gradient Estimates for Positive Solutions to Δpu + Δqu + h(u) = 0 on a Complete Manifold

by Youde Wang, Jun Yang, Liqin Zhang

ABSTRACT: In this paper, we use the Saloff-Coste Sobolev inequality and Nash-Moser iteration method to study the local and global behaviors of positive solutions to the nonlinear elliptic equation ∆ p u...

Open Access Article

Dark and Singular Optical Solitons for Kundu-Eckhaus Equation with Differential Group Delay by the Generalized ϕ6-Model Expansion

by Abdul-Ghani Al-Nowehy, Elsayed M. E. Zayed, Ahmed H. Arnous, Yakup Yildirim, Luminita Moraru, Anjan Biswas

ABSTRACT: This paper recovers optical solitons solutions with polarization-mode dispersion in optical fibers. The governing model is the Kundu-Eckhaus equation. The adopted integration scheme is the...

Open Access Article

Adjusted Optimal Trimmed Theil-Sen Method for Multiple Regression Model, with Outliers Detection and Management

by Juthaphorn Sinsomboonthong, Achara Phaeobang, Saichon Sinsomboonthong

ABSTRACT: The objective of this research was to propose the adjusted optimal trimmed Theil-Sen (AOTS) method and compare the efficiency, with outliers, of four parametric and two nonparametric statistical...

Open Access Article

Homotopy Perturbation ρ-Laplace Transform Approach for Numerical Simulation of Fractional Navier-Stokes Equations

by Hamza Mihoubi, Awatif Muflih Alqahtani, Yacine Arioua, Brahim Bouderah, Tahar Tayebi

ABSTRACT: In this study, we tackle the time fractional discrete Navier-Stokes equation by employing the homotopy perturbation ρ-Laplace transform method (HPLTM), utilizing the Caputo-Katugampola fractional...

Open Access Article

A Study on Some Approximations on the Average Number of the LLL Bases in Higher Dimensions

by Jaewon Jung, Kyunghwan Song

ABSTRACT: The Lenstra-Lenstra-Lovász (LLL) algorithm, known as one of the main algorithms to decrypt the ciphertext encrypted by Lattice-based cryptography, outputs short basis vectors for n dimensional...

Open Access Article

Analysis of a Queue Subject to Discouraged Arrivals, Customer Impatience, and Self-Switching Server Dynamics

by C. T. Dora Pravina, P. Kamala, S. Sreelakshmi, Sukumaran Damodaran

ABSTRACT: This study examines a single-server queue approach that discourages arrivals, accounts for impatient customers, and includes a self-switching server is considered. A queue with a single...

Open Access Article

Dynamics of Predator-Prey Models with Negative Direct Effects of Climate Change

by Jawdat Alebraheem

ABSTRACT: The impact of climate change has become a very important topic and can have a direct impact on predator-prey interactions. Therefore, in this paper, we introduce a novel competitive predator-prey...

Open Access Article

Numerical Solutions of Time-Fractional N-W-S and Burger’s Equations Using the Tarig Projected Differential Transform Method (TPDTM)

by Athira K, Narasimhulu D, P. S. Brahmanandam

ABSTRACT: Solving time-fractional nonlinear equations, such as the Newell-Whitehead-Segel (N-W-S) and Burger's equations, is inherently complex due to the intricacies of fractional calculus and the...

Open Access Article

A Systematic Literature Review on the Estimation of High Air Pollution Periods Using Machine Learning Approaches

by Nawwal Dhwaiher N Alrasheedi, Nurulkamal Masseran, Razik Ridzuan Mohd Tajuddin

ABSTRACT: Air pollution remains a pressing global issue, presenting serious threats to environmental sustainability and public health. This systematic review examines the application of machine learning...