Mohammed Zakarya
YOU?
Author Swipe
View article: Signatures of non-metricity on dynamical analysis of isotropic cosmological models
Signatures of non-metricity on dynamical analysis of isotropic cosmological models Open
View article: Surface Plasmon Polariton-Enhanced Multi-Wave Mixing for Topological 3D Atomic Localization in an Atomic Media
Surface Plasmon Polariton-Enhanced Multi-Wave Mixing for Topological 3D Atomic Localization in an Atomic Media Open
This work examines the 3D localization microscopy of atoms through a new technique employing absorption spectroscopy within a four-level atomic system under multi-wave mixing (MWM) conditions, combined with surface plasmon polaritons (SPPs…
View article: MEMORY EFFECTS IN THE GLYCOLYSIS PATHWAY: STABILITY, BIFURCATIONS, AND NUMERICAL SIMULATIONS
MEMORY EFFECTS IN THE GLYCOLYSIS PATHWAY: STABILITY, BIFURCATIONS, AND NUMERICAL SIMULATIONS Open
This work proposes a novel fractional spatiotemporal model of the glycolysis process that incorporates memory effects using the Caputo fractional derivative, which are often ignored in classical models. We provide effective mathematical pr…
View article: Enhanced Atom Localization in 2D through Resonant Surface Plasmon Polaritons
Enhanced Atom Localization in 2D through Resonant Surface Plasmon Polaritons Open
In a four-level atomic configuration, we suggest a theoretical framework that is capable of obtaining sub-wavelength atomic localization by utilizing surface plasmon polaritons (SPPs). Via quantum interference mechanisms, we exhibit precis…
View article: Analytical Solutions for Generalized Stochastic HSC-KdV Equations with Variable Coefficients Using Hermite Transform and F-Expansion Method
Analytical Solutions for Generalized Stochastic HSC-KdV Equations with Variable Coefficients Using Hermite Transform and F-Expansion Method Open
This study focuses on analyzing the generalized HSC-KdV equations characterized by variable coefficients and Wick-type stochastic (Wt.S) elements. To derive white noise functional (WNF) solutions, we employ the Hermite transform, the homog…
View article: Denosumab for the Prevention of Skeletal-Related Events in Breast Cancer Bone Metastasis: A Literature Review
Denosumab for the Prevention of Skeletal-Related Events in Breast Cancer Bone Metastasis: A Literature Review Open
Background: Breast cancer is the leading cause of cancer-related mortality among women worldwide, with more than 90% of these deaths attributed to metastases [1]. Among patients with metastatic breast cancer, approximately 65% to 75% devel…
View article: Unveiling new reverse Hilbert-type dynamic inequalities within the framework of Delta calculus on time scales
Unveiling new reverse Hilbert-type dynamic inequalities within the framework of Delta calculus on time scales Open
Some new reverse versions of Hilbert-type inequalities are studied in this paper. The results are established by applying the time scale versions of reverse Hölder's inequality, reverse Jensen's inequality, chain rule on time scales, and t…
View article: Dissipative heat transfer in blood-based ternary hybrid nanofluids through a parallel channel with entropy optimization: The case of biomedical applications
Dissipative heat transfer in blood-based ternary hybrid nanofluids through a parallel channel with entropy optimization: The case of biomedical applications Open
This research aims to enhance heat transfer and optimize entropy in blood-based ternary hybrid nanofluids (THNs) flowing through a parallel channel. These THNs consist of silver (Ag), silicon dioxide (SiO2), and magnetite (Fe3O4) nanoparti…
View article: A Novel Framework for Belief and Plausibility Measures in Intuitionistic Fuzzy Sets: Belief and Plausibility Distance, Similarity, and TOPSIS for Multicriteria Decision Making
A Novel Framework for Belief and Plausibility Measures in Intuitionistic Fuzzy Sets: Belief and Plausibility Distance, Similarity, and TOPSIS for Multicriteria Decision Making Open
Dempster–Shafer Theory (DST) relies significantly on belief and plausibility measures to handle ambiguity and uncertainty; however, DST has been extended to fuzzy sets (FSs) and intuitionistic fuzzy sets (IFSs) with only a few extensions f…
View article: Travelling Solitary Wave Solutions to Non-Gaussian χ-Wick-Type Stochastic Burgers’ Equation with Variable Coefficients
Travelling Solitary Wave Solutions to Non-Gaussian χ-Wick-Type Stochastic Burgers’ Equation with Variable Coefficients Open
In this work, we obtain non-Gaussian (NG) stochastic solutions to χ-Wick-type stochastic (χ-Wk-TS) Burgers’ equations with variable coefficients. An Exp-function method, the connection between white noise theory and hypercomplex systems (H…
View article: Mathematical analysis of Lassa fever epidemic with real data
Mathematical analysis of Lassa fever epidemic with real data Open
In this work, we discuss a lethal disease known as Lassa Fever through mathematical modeling. Seven dimensional mathematical model is considered as the system of ordinary differential equations. First, we compute the equilibrium point in w…
View article: Role of stability analysis and waste discharge concentration of ternary hybrid nanofluid in a non-Newtonian model with slip boundary conditions
Role of stability analysis and waste discharge concentration of ternary hybrid nanofluid in a non-Newtonian model with slip boundary conditions Open
Investigating the effects of waste discharge on nanofluids using a non-Newtonian fluid model is vital for enhancing heat and mass transfer performance in engineering systems, such as cooling systems in power plants, oil, and gas drilling o…
View article: Two-phase Agrawal hybrid nanofluid flow for thermal and solutal transport fluxes induced by a permeable stretching/shrinking disk
Two-phase Agrawal hybrid nanofluid flow for thermal and solutal transport fluxes induced by a permeable stretching/shrinking disk Open
Nanofluid is one of the modern heat transfer fluids that offer the potential to substantially enhance the heat transfer efficiency of conventional fluids. Extensive research has been undertaken to explore its fundamental thermophysical pro…
View article: On the Oscillatory Behavior of Solutions of Second-Order Damped Differential Equations with Several Sub-Linear Neutral Terms
On the Oscillatory Behavior of Solutions of Second-Order Damped Differential Equations with Several Sub-Linear Neutral Terms Open
The oscillation and asymptotic behavior of solutions of a general class of damped second-order differential equations with several sub-linear neutral terms is considered. New sufficient conditions are established to fulfill a part of the g…
View article: Extensions of Bicomplex Hypergeometric Functions and Riemann–Liouville Fractional Calculus in Bicomplex Numbers
Extensions of Bicomplex Hypergeometric Functions and Riemann–Liouville Fractional Calculus in Bicomplex Numbers Open
In this paper, we present novel advancements in the theory of bicomplex hypergeometric functions and their applications. We extend the hypergeometric function to bicomplex parameters, analyse its convergence region, and define its integral…
View article: New soliton solutions of ion dynamics on acoustic dusty plasma
New soliton solutions of ion dynamics on acoustic dusty plasma Open
This paper discusses the newly discovered acoustic waves that arise from the equilibrium between the inertia of dust particles and plasma pressure. The propagation of these waves is demonstrated to be non-linear, with supersonic solitons e…
View article: On Some New Dynamic Hilbert-Type Inequalities across Time Scales
On Some New Dynamic Hilbert-Type Inequalities across Time Scales Open
In this article, we present some novel dynamic Hilbert-type inequalities within the framework of time scales T. We achieve this by utilizing Hölder’s inequality, the chain rule, and the mean inequality. As specific instances of our finding…
View article: A Linear Stabilized Incompressible Magnetohydrodynamic Problem with Magnetic Pressure
A Linear Stabilized Incompressible Magnetohydrodynamic Problem with Magnetic Pressure Open
The objective of this article is to examine, stabilize, and linearize the incompressible magnetohydrodynamic model equations. The approximate solutions are carried out through the lowest equal order mixed finite element (FE) approach, invo…
View article: New Arctan-generator family of distributions with an example of Frechet distribution: Simulation and analysis to strength of glass and carbon fiber data
New Arctan-generator family of distributions with an example of Frechet distribution: Simulation and analysis to strength of glass and carbon fiber data Open
Since standard distributions do not fundamentally have an acceptable fit to all types of data sets, it is necessary to construct extensions of standard distributions to increase their capability in data modeling. As a result of this shorta…
View article: Utilizing various statistical methods to model the impact of the COVID-19 pandemic on Gross domestic product
Utilizing various statistical methods to model the impact of the COVID-19 pandemic on Gross domestic product Open
Gross Domestic Product (GDP) is one of the key macroeconomic aggregates that measures the added value produced in a country during a period. In the contemporary world, macroeconomic uncertainty, among others due to the COVID-19 pandemic an…
View article: Analyzing multiplicative noise effects on stochastic dynamical ϕ4 equation using the new extended direct algebraic method
Analyzing multiplicative noise effects on stochastic dynamical ϕ4 equation using the new extended direct algebraic method Open
The stochastic dynamical ϕ4 equation is obtained by adding a multiplicative noise term to the classical ϕ4 equation. The noise term represents the random fluctuations that are present in the system and is modeled by a Wiener process. The s…
View article: Asymptotic and Oscillatory Properties of Third-Order Differential Equations with Multiple Delays in the Noncanonical Case
Asymptotic and Oscillatory Properties of Third-Order Differential Equations with Multiple Delays in the Noncanonical Case Open
This paper investigates the asymptotic and oscillatory properties of a distinctive class of third-order linear differential equations characterized by multiple delays in a noncanonical case. Employing the comparative method and the Riccati…
View article: Inequalities of Ostrowski Type for Functions Whose Derivative Module Is Relatively Convex on Time Scales
Inequalities of Ostrowski Type for Functions Whose Derivative Module Is Relatively Convex on Time Scales Open
In this article, we discuss several novel generalized Ostrowski-type inequalities for functions whose derivative module is relatively convex in time scales calculus. Our core findings are proved by using the integration by parts technique,…
View article: On the Two-Variable Analogue Matrix of Bessel Polynomials and Their Properties
On the Two-Variable Analogue Matrix of Bessel Polynomials and Their Properties Open
In this paper, we explore a study focused on a two-variable extension of matrix Bessel polynomials. We initiate the discussion by introducing the matrix Bessel polynomials involving two variables and derive specific differential formulas a…
View article: Generalized Dynamic Inequalities of Copson Type on Time Scales
Generalized Dynamic Inequalities of Copson Type on Time Scales Open
This paper introduces novel generalizations of dynamic inequalities of Copson type within the framework of time scales delta calculus. The proposed generalizations leverage mathematical tools such as Hölder’s inequality, Minkowski’s inequa…
View article: Some Hardy's inequalities on conformable fractional calculus
Some Hardy's inequalities on conformable fractional calculus Open
In this article, we will demonstrate some Hardy’s inequalities by utilizing Hölder inequality, integration by parts, and chain rule of the conformable fractional calculus. When α = 1 \alpha =1 , we can obtain some of classical Copson’s a…
View article: Sufficient criteria for oscillation of even-order neutral differential equations with distributed deviating arguments
Sufficient criteria for oscillation of even-order neutral differential equations with distributed deviating arguments Open
This paper presents novel criteria for investigating the oscillatory behavior of even-order neutral differential equations. By employing a comparative approach, we established the oscillation properties of the studied equation through comp…
View article: Dynamics and stability analysis of nonlinear DNA molecules: Insights from the Peyrard-Bishop model
Dynamics and stability analysis of nonlinear DNA molecules: Insights from the Peyrard-Bishop model Open
This study explores the nonlinear Peyrard-Bishop DNA dynamic model, a nonlinear evolution equation that describes the behavior of DNA molecules by considering hydrogen bonds between base pairs and stacking interactions between adjacent bas…
View article: Novel generalized inequalities involving a general Hardy operator with multiple variables and general kernels on time scales
Novel generalized inequalities involving a general Hardy operator with multiple variables and general kernels on time scales Open
This paper introduced novel multidimensional Hardy-type inequalities with general kernels on time scales, extending existing results in the literature. We established generalized inequalities involving a general Hardy operator with multipl…
View article: Dynamical Behavior and Expressions of Solutions of a Class of Higher‐Order Nonlinear Difference Equations
Dynamical Behavior and Expressions of Solutions of a Class of Higher‐Order Nonlinear Difference Equations Open
The aim of this article is to get the forms of the solutions of the following nonlinear higher‐order difference equations where the initial conditions χ − j , j = 0, 1, 2, …, 3 k − 1 and k ∈ {1, 2, …} are arbitrary real numbers. Also, we e…