Contemporary Mathematics, Volume 5 Issue 4 (2024)



Open Access Article

A Generalized Number-Theoretic Transform for Efficient Multiplication in Lattice Cryptography

by Ahmad Al Badawi, Sze Ling Yeo, Mohd Faizal Bin Yusof

ABSTRACT: The Number Theoretic Transform (NTT) has emerged as a powerful tool for efficiently computing convolutions of digital signals, due to its inherent advantages such as numerical stability, reliance...

Open Access Article

On the Fekete-Szegö Inequalities of the Generalized Mittag-Leffler Function Associated with a Lambert Series

by Jamal Salah

ABSTRACT: This study aims to investigate the Fekete-Szegö problem for the linear operator generated by the convolution (the Hadamard product) involving one of the generalized forms of the Mittag-Leffler...

Open Access Article

Characteristic Equations of Chebyshev Polynomials of Third and Fourth Kinds and Their Generating Matrices

by Anu Verma, Pankaj Pandey, Shubham Mishra, Vipin Verma

ABSTRACT: The main goal of the article is to obtain matrix representation for the third and fourth kinds of Chebyshev polynomials by using a tridiagonal matrix. We present a connection between the...

Open Access Article

A φ-Contractivity Fixed Point Theory and Associated φ-Invariant Self-Similar Sets

by Nifeen H. Altaweel

ABSTRACT: In this paper, we apply a generalized variant of the concept of fixed point theory due to contraction mappings on metric spaces to construct a general class of iterated function systems relative...

Open Access Article

Mathematical Evaluation and Dynamic Transmissions of a Tumor Growth Model Using a Generalized Singular and Non-Local Kernel

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

ABSTRACT: Currently, fractional calculus plays a critical role in improving control techniques, analyzing disease transmission dynamics, and solving several other real-world problems. This research...

Open Access Article

Finite Sum of Integral Operators from the Fractional Cauchy Spaces to Bloch-Type and Zygmund-Type Spaces

by Rita A. Hibschweiler, Ajay K. Sharma

ABSTRACT: The family of fractional Cauchy transforms, defined on the open unit disc in the complex plane, is of classical and modern interest. Membership of an analytic function in the family is determined...

Open Access Article

Solutions for a New Fractional Differential Dynamical System and Yosida Quasi-Inverse Variational Inequality in Hilbert Space

by Faizan Ahmad Khan, Ebrahem A. Algehyne, Fahad M. Alamrani, Esmail Alshaban, Adel Alatawi, Saleem K. Aljuhani

ABSTRACT: In this article, first we introduce and study a Yosida Quasi-inverse variational inequality problem (in short, YQIVI) in Hilbert space and then developed a new fractional differential dynamical...

Open Access Article

The Spectra of Multiplication Operators and Weighted Composition Operators on Iterated Weighted-Type Banach Spaces of Analytic Functions

by Shams Alyusof

ABSTRACT: This research aims to analyze the spectral of multiplication operators acting on weighted Banach spaces of analytic functions defined on the unit disk. These spaces, denoted by S n : n ∈ N,...

Open Access Article

Derivation of Sawada-Kotera and Kaup-Kupershmidt Equations KdV Flow Equations from Modified Nonlinear Schrödinger Equation (MNLS)ns from Modfied Nonlinear Schrödinger Equation (MNLS)

by Murat Koparan

ABSTRACT: Mathematical models of problems that arise in almost every branch of science are nonlinear evolution equations (NLEE). As a result, nonlinear evolution equations have served as a language for...

Open Access Article

Approximate and Exact Solutions of Some Nonlinear Differential Equations Using the Novel Coupling Approach in the Sense of Conformable Fractional Derivative

by Muhammad Imran Liaqat, Ali Akgül

ABSTRACT: Several scientific fields utilize fractional nonlinear partial differential equations to model various phenomena. However, most of these equations lack exact solutions. Consequently, techniques...