20 hasil untuk "Elsayed M Elsayed"
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Artikel Jurnal
Some Results on a Rational Recursive Sequences
In this paper, we study some results on the following rational recursive sequences: xn+1 = xn−9 / ±1 ± xn−1xn−3xn−5xn−7xn−9, n = 0, 1, · · · , where the initial conditions are arbitrary real numbers.
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Artikel Jurnal
On the Behavior of the Nonlinear Difference Equation yn+1 = Ayn−1 + Byn−3 + Cyn−1+Dyn−3/Fyn−3−E
The theory of difference equations got a significant position in the applicable analysis. Therefore, studying the qualitative behavior of the difference equations is a fruitful area of research that has increasingly attracted many researchers. In this paper, we demonstrate the stability and the…
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The Solution Expressions and the Periodicity Solutions of Some Nonlinear Discrete Systems
The principle purpose of this paper is to investigate the long-term behaviors of some nonlinear systems of difference equations and obtain these solution expressions and periodicity character. Furthermore, we use MATLAB programming to simulate the dynamics and confirm our results.
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Analytical and Solutions of Fourth Order Difference Equations
In this article, we presented the solutions of the following recursive sequences\[ x_{n+1}=\frac{x_{n-2}x_{n-3}}{x_{n}(\pm1\pm x_{n-2}x_{n-3})}, \] where the initial conditions $x_{-3}\ ,x_{-2}\ ,x_{-1}$\ and $x_{0}\ $are arbitrary real numbers. Also, we studied some dynamic behavior of these…
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Artikel Jurnal
Nonlocal initial value problems for implicit differential equations with Hilfer–Hadamard fractional derivative
In this paper, the Schaefer's fixed-point theorem is used to investigate the existence of solutions to nonlocal initial value problems for implicit differential equations with Hilfer–Hadamard fractional derivative. Then the Ulam stability result is obtained by using Banach contraction principle. An…
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Artikel Jurnal Teks lengkap
Analysis of stochastic pantograph differential equations with generalized derivative of arbitrary order
In this paper, we mainly study the existence of analytical solutions of stochastic pantograph differential equations. The standard Picard’s iteration method is used to obtain the theory.
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Artikel Jurnal Teks lengkap
On Some Solvable Systems of Some Rational Difference Equations of Third Order
Our aim in this paper is to obtain formulas for solutions of rational difference equations such as xn+1=1±xn−1yn/1−yn,yn+1=1±yn−1xn/1−xn, and xn+1=1±xn−1yn−2/1−yn,yn+1=1±yn−1xn−2/1−xn, where the initial conditions x−2, x−1, x0, y−2, y−1, y0 are non-zero real numbers. In addition, we show that the…
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Artikel Jurnal Teks lengkap
On a Second-Order Difference Equation with Two Periodic Coefficients
This work focuses on a class of nonlinear second-order difference equations with non-autonomous periodic coefficients. We obtain explicit solution formulas that allow for a constructive characterization of their behavior. In particular, we derive necessary and sufficient conditions for the…
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New solitary solutions for stochastic Kakutani–Matsuuchi model of internal gravity waves
Here, we consider the stochastic Kakutani–Matsuuchi model (SKMM) perturbed by multiplicative noise in the Itô sense. This model describes the behavior of these waves as they propagate through a stratified fluid medium, such as the Earth's atmosphere or ocean. Internal gravity waves are generated by…
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Artikel Jurnal
Solvable product-type system of difference equations of second order
We show that the system of difference equations $$ z_{n+1}=\frac{w_n^a}{z_{n-1}^b},\quad w_{n+1}=\frac{z_n^c}{w_{n-1}^d},\quad n\in\mathbb{N}_0, $$ where $a,b,c,d\in\mathbb{Z}$, and initial values $z_{-1}, z_0, w_{-1}, w_0\in\mathbb{C}$, is solvable in closed form, and present a method for finding…
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Multipoint boundary value problem for a coupled system of psi-Hilfer nonlinear implicit fractional differential equation
This study examines the existence and uniqueness of the solution to the coupled system of the ψ-Hilfer nonlinear implicit fractional multipoint boundary value problem. The uniqueness is shown by the Banach contraction principle, and the existence is shown by Krasnosel’skii’s fixed point theorem in…
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Artikel Jurnal
Causes and clinical manifestations of ocular trauma
Purpose The aim of this work was to provide data about the causes and nature of ocular trauma and to find the relationship of these causes with age and sex. Patients and methods Patients with all types of eye injuries such as mechanical (by blunt object, sharp object, or foreign body), chemical or…
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Artikel Jurnal Teks lengkap
The Analytical Fractional Solutions for Coupled Fokas System in Fiber Optics Using Different Methods
The Fokas system with M-truncated derivative (FS-MTD) was considered in this study. To get analytical solutions of FS-MTD in the forms of elliptic, rational, hyperbolic, and trigonometric functions, we employed the extend F-expansion approach and the Jacobi elliptic function method. Since nonlinear…
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Artikel Jurnal
On the Reformulated Multiplicative First Zagreb Index of Trees and Unicyclic Graphs
The multiplicative first Zagreb index of a graph H is defined as the product of the squares of the degrees of vertices of H. The line graph of a graph H is denoted by LH and is defined as the graph whose vertex set is the edge set of H where two vertices of LH are adjacent if and only if they are…
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Artikel Jurnal Teks lengkap
The Analytical Stochastic Solutions for the Stochastic Potential Yu–Toda–Sasa–Fukuyama Equation with Conformable Derivative Using Different Methods
We consider in this study the (3+1)-dimensional stochastic potential Yu–Toda–Sasa–Fukuyama with conformable derivative (SPYTSFE-CD) forced by white noise. For different kind of solutions of SPYTSFE-CD, including hyperbolic, rational, trigonometric and function, we use He’s semi-inverse and improved…
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Artikel Jurnal Teks lengkap
Identical Neighbor Structure: Effects on Spectrum and Independence in CNs Cartesian Product of Graphs
In this study, we introduced a novel graph product derived from the standard Cartesian product and investigated its structural properties, with a particular emphasis on its independence number and spectral characteristics in relation to identical neighbor structures. A key finding is that the…
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Artikel Jurnal
On the Graphs of Minimum Degree At Least 3 Having Minimum Sum-Connectivity Index
For a graph G, its sum-connectivity index is denoted by χG and is defined as the sum of the numbers du+dv−1/2 over all edges uv of G, where dw denotes the degree of a vertex w∈VG. In this study, we find a sharp lower bound on the sum-connectivity index of graphs having minimum degree of at least 3…
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Artikel Jurnal Teks lengkap
Direct Observation of Induced Graphene and SiC Strengthening in Al–Ni Alloy via the Hot Pressing Technique
In this study, Al/5 Ni/0.2 GNPs/x SiC (x = 5, 10, 15, and 20 wt%) nanocomposites were constituted using the powder metallurgy–hot pressing technique. The SiC particles and GNPs were coated with 3 wt% Ag using the electroless deposition technique then mixed with an Al matrix and 5% Ni using ball…
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Artikel Jurnal
Predictors of a follicular nodule (Thy3) outcome of thyroid fine needle aspiration cytology among Saudi patients
Abstract Objective A retrospective study was performed to evaluate predictors of thyroid fine needle aspiration cytology (FNAC) outcomes among Saudis with a thyroid nodule. Socio-demographic data, thyroid function status, thyroid parameters, ultrasound and cytology results were collected from 269…