Ali Althobaiti
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Unraveling the electromagnetic interaction of a Bessel pincer light-sheet beam by a metamaterial PEMC sphere Open
The interaction of a Bessel pincer light-sheet beam (BPLSB) with a metamaterial perfect electromagnetic conductor (PEMC) sphere is analyzed using the generalized Lorenz–Mie theory (GLMT). The electric field of the BPLSB is expanded by util…
Electrochemical synthesis and characterization of redox-tunable organometallic complexes via controlled potential electrolysis Open
The development of clean and controllable synthesis methods for organometallic complexes is a key challenge in coordination chemistry, with significant implications for catalysis and materials science. Traditional synthetic routes often su…
Common φ-Fixed Point Results for S-Operator Pair in Symmetric M-Metric Spaces Open
In this article, we define a new class of noncommuting self mappings known as the S-operator pair. Also, we provide the existence and uniqueness of common fixed point results involving the S-operator pair satisfying the (F,φ,ψ,Z)-contracti…
Solitonic Analysis of the Newly Introduced Three-Dimensional Nonlinear Dynamical Equations in Fluid Mediums Open
The emergence of higher-dimensional evolution equations in dissimilar scientific arenas has been on the rise recently with a vast concentration in optical fiber communications, shallow water waves, plasma physics, and fluid dynamics. There…
Research on New Interval-Valued Fractional Integrals with Exponential Kernel and Their Applications Open
This paper aims to introduce a new fractional extension of the interval Hermite–Hadamard (HH), HH–Fejér, and Pachpatte-type inequalities for left- and right-interval-valued harmonically convex mappings (LRIVH convex mappings) with an expon…
Groundwater pollution equation: Lie’s symmetry analysis and numerical consideration Open
The current study modeled groundwater pollution through the utilization of the advection–diffusion equation - a versatile differential equation that is capable of modeling a variety of real-life processes. Indeed, various methods of soluti…
Novel similarity measures under complex pythagorean fuzzy soft matrices and their application in decision making problems Open
Complex fuzzy soft matrices play a crucial role in various applications, including decision-making, pattern recognition, signals processing, and image processing. The main objective of this study is to introduce the unique notions of compl…
Generalized Fuzzy-Valued Convexity with Ostrowski’s, and Hermite-Hadamard Type Inequalities over Inclusion Relations and Their Applications Open
Convex inequalities and fuzzy-valued calculus converge to form a comprehensive mathematical framework that can be employed to understand and analyze a broad spectrum of issues. This paper utilizes fuzzy Aumman’s integrals to establish inte…
The Estimation of Different Kinds of Integral Inequalities for a Generalized Class of Convex Mapping and a Harmonic Set via Fuzzy Inclusion Relations and Their Applications in Quadrature Theory Open
The relationship between convexity and symmetry is widely recognized. In fuzzy theory, both concepts exhibit similar behavior. It is crucial to remember that real and interval-valued mappings are special instances of fuzzy-number-valued ma…
An analysis of fractional piecewise derivative models of dengue transmission using deep neural network Open
This manuscript investigates a fractional piecewise dengue transmission model using singular and non-singular kernels. The existence results and uniqueness of the solution are established by using the approach of fixed point and in the fra…
Novel wave solutions for the sixth-order Boussinesq equation arising in nonlinear lattice dynamics Open
This study examines a class of Boussinesq equations with sixth-order using two promising analytical methods. The equation in question is among the frontier evolution equations with significant relevance in nonlinear lattice dynamics. To st…
Reliability of two-dimensional steady magnetized Jeffery fluid over shrinking sheet with chemical effect Open
A numerical framework is established for a two-dimensional steady flow of the magnetized Jeffery fluid model over elongated/shrinking sheets, with potential applications such as coating sheets, food products, fiber optics, drilling fluids,…
Predictive Modeling and Control Strategies for the Transmission of Middle East Respiratory Syndrome Coronavirus Open
The Middle East respiratory syndrome coronavirus (MERS-CoV) is a highly infectious respiratory illness that poses a significant threat to public health. Understanding the transmission dynamics of MERS-CoV is crucial for effective control a…
Some New Properties of Exponential Trigonometric Convex Functions Using up and down Relations over Fuzzy Numbers and Related Inequalities through Fuzzy Fractional Integral Operators Having Exponential Kernels Open
The concept of convexity is fundamental in order to produce various types of inequalities. Thus, convexity and integral inequality are closely related. The objectives of this paper are to present a new class of up and down convex fuzzy num…
Some New Properties of Convex Fuzzy-Number-Valued Mappings on Coordinates Using Up and Down Fuzzy Relations and Related Inequalities Open
The symmetric function class interacts heavily with other types of functions. One of these is the convex function class, which is strongly related to symmetry theory. In this study, we define a novel class of convex mappings on planes usin…
Lump solution and lump-type solution to a class of water wave equation Open
In the field of nonlinear sciences, the theory of solitons has long been regarded as one of the most significant and effective areas of research. In this research field, there are many efficient techniques for solving partial differential …
Analytical solutions of the extended Kadomtsev–Petviashvili equation in nonlinear media Open
This manuscript attempts to construct diverse exact traveling wave solutions for an important model called the (3+1)-dimensional Kadomtsev–Petviashvili equation. In order to achieve that, the Jacobi elliptic function technique and the Kudr…
On closed-form optical solutions to the nonlinear model with the Kerr law nonlinearity Open
The main contribution of this study is the application of a newly-proposed method to the Ginzburg–Landau equation arising from the propagation of nonlinear waves to obtain new closed-form optical solutions to this equation. By employing a …
View article: A scaled Polak-Ribi$ \grave{e} $re-Polyak conjugate gradient algorithm for constrained nonlinear systems and motion control
A scaled Polak-Ribi$ \grave{e} $re-Polyak conjugate gradient algorithm for constrained nonlinear systems and motion control Open
This paper proposes Polak-Ribi$ \grave{e} $re-Polyak (PRP) conjugate gradient (CG) directions based on two efficient scaling strategies. The first scaling parameter is determined by approaching the quasi-Newton direction, and the second by…
A Theoretical and Numerical Study on Fractional Order Biological Models with Caputo Fabrizio Derivative Open
This article studies a biological population model in the context of a fractional Caputo-Fabrizio operator using double Laplace transform combined with the Adomian method. The conditions for the existence and uniqueness of solution of the …
Exact Solutions of the Nonlinear Modified Benjamin-Bona-Mahony Equation by an Analytical Method Open
The current manuscript investigates the exact solutions of the modified Benjamin-Bona-Mahony (BBM) equation. Due to its efficiency and simplicity, the modified auxiliary equation method is adopted to solve the problem under consideration. …
A Scaled Dai–Yuan Projection-Based Conjugate Gradient Method for Solving Monotone Equations with Applications Open
In this paper, we propose two scaled Dai–Yuan (DY) directions for solving constrained monotone nonlinear systems. The proposed directions satisfy the sufficient descent condition independent of the line search strategy. We also reasonably …
View article: Mass and Heat Transport Assessment and Nanomaterial Liquid Flowing on a Rotating Cone: A Numerical Computing Approach
Mass and Heat Transport Assessment and Nanomaterial Liquid Flowing on a Rotating Cone: A Numerical Computing Approach Open
In the present study, we explore the time-dependent convectional flow of a rheological nanofluid over a turning cone with the consolidated impacts of warmth and mass exchange. It has been shown that if the angular velocity at the free stre…
Scaled Three-Term Conjugate Gradient Methods for Solving Monotone Equations with Application Open
In this paper, we derived a modified conjugate gradient (CG) parameter by adopting the Birgin and Marti´nez strategy using the descent three-term CG direction and the Newton direction. The proposed CG parameter is applied and suggests a ro…