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Further Properties Of Semi Bornological Groups, Anwar N. Imran, F. K. Alhan, J. S. Farah May 2021

Further Properties Of Semi Bornological Groups, Anwar N. Imran, F. K. Alhan, J. S. Farah

Applied Mathematics & Information Sciences

In this work, we study new structure in algebraic bornological structures, its called semi bornological groups, so the problem of boundedness for this kind of groups, which cannot bornologize because the product map is not bounded was solved. Additionally, we stydy further properties of semi bornological groups. In particular, we show that every left (right) translations in semi bornological groups are bornological isomorphisms. Therefor, the semi bornological groups are homogeneous. Furthermore, to find the sufficient condition on the left bornological group or right bornological group to be semi bornological group was investigated. However, we gave the sufficient condition to make …


(T,S)-Intuitionistic Fuzzy Hyperideals Of Γ -Hyperrings, Serkan Onar, Bayram Ali Ersoy, Kostaq Hila, Krisanthi Naka May 2021

(T,S)-Intuitionistic Fuzzy Hyperideals Of Γ -Hyperrings, Serkan Onar, Bayram Ali Ersoy, Kostaq Hila, Krisanthi Naka

Applied Mathematics & Information Sciences

In this paper, we introduce (T,S)-intuitionistic fuzzy hyperideals of Γ-hyperrings. We study the (T,S)-intuitionistic fuzzy left and right hyperideals, (T,S)-intuitionistic fuzzy quasi-hyperideals and bi-hyperideals in Γ-hyperrings and some related properties are investigated. Regular Γ -hyperrings are characterized in terms of (T, S)-intuitionistic fuzzy quasi-hyperideals and (T, S)-intuitionistic fuzzy bi-hyperideals. We also introduce the (λ,δ)(T,S)-intuitionistic fuzzy bi-hyperideals in Γ-hyperrings and provide some of their properties.


On A Third-Order P-Laplacian Boundary Value Problem At Resonance On The Half-Line, S. A Iyase, S. A Bishop May 2021

On A Third-Order P-Laplacian Boundary Value Problem At Resonance On The Half-Line, S. A Iyase, S. A Bishop

Applied Mathematics & Information Sciences

In this paper, a one-dimensional third-order p-Laplacian boundary value problem at resonance on the half-line is studied. We apply the extension of Mawhin’s coincidence degree theory due to Ge and Ren to obtain the existence of solutions. The results do not only generalize but also improve some known results on third-order p-Laplacian boundary value problems at resonance.


Bayesian Approach To Infer Types Of Faults On Electrical Machines From Acoustic Signal, Glaucia Maria Bressan, Beatriz C. Flamia De Azevedo, Herman Lucas Dos Santos, Wagner Endo, Cristiano Marcos Agulhari, Alessandro Goedtel May 2021

Bayesian Approach To Infer Types Of Faults On Electrical Machines From Acoustic Signal, Glaucia Maria Bressan, Beatriz C. Flamia De Azevedo, Herman Lucas Dos Santos, Wagner Endo, Cristiano Marcos Agulhari, Alessandro Goedtel

Applied Mathematics & Information Sciences

Considering the classification of failures in electrical machines, the present paper aims to use supervised machine learning techniques in order to classify faults in electrical machines, using attributes from audio signals. In order to analyze data and recognize patterns, the considered supervised learning methods are: Bayesian Network, together with the BayesRule algorithm, Support Vector Machine and k-Nearest Neighbor. The performances and the results provided from these algorithms are then compared. The main contributions of this paper are the acquisition process of audio signals and the elaboration of Bayesian networks topologies and classifiers structures using the acquired signals, since the algorithms …


Effect Of The Negative Velocity Feedback Control For Reducing The Primary Resonance Vibration Of A Magnetic Levitation System Using The Harmonic Balance Method, F. O. Darwesh, Y. A. Amer, K. R. Raslan May 2021

Effect Of The Negative Velocity Feedback Control For Reducing The Primary Resonance Vibration Of A Magnetic Levitation System Using The Harmonic Balance Method, F. O. Darwesh, Y. A. Amer, K. R. Raslan

Applied Mathematics & Information Sciences

In order to reduce the primary resonance vibration of a magnetic levitation system, this paper investigated the effect of applying negative linear velocity feedback control. External and parametric forces that were linear, quadratic and cubic were exposed to the system under analysis. The control of linear velocity feedback shows that it is better to reduce the resulting vibration than the cubic one. To obtain the response system and analyze the stability of it, the harmonic balance method (HBM) was applied. It is confirmed that it is stable overall. Comparison of the approximate and numerical solutions and the effect of the …


Vibration Analysis Of Permanent Magnet Motor Rotor System In Shearer Semi-Direct Drive Cutting Unite With Speed Controller And Multi- Excitation Forces, Y. A. Amer, Taher A. Bahnasy, Ashraf M. Elmhlawy May 2021

Vibration Analysis Of Permanent Magnet Motor Rotor System In Shearer Semi-Direct Drive Cutting Unite With Speed Controller And Multi- Excitation Forces, Y. A. Amer, Taher A. Bahnasy, Ashraf M. Elmhlawy

Applied Mathematics & Information Sciences

Under the impact of electro - magnetic activation and marginal load disruption, electro - mechanical linking resonance can be generated on the motor driveshaft of the moderately slicing segment of a shearer. In this sense, this hypothesis explores the vibration properties of a motor rotor and the effect of electro - mechanical couplers. Besides, system model approximate solution is obtained through the multiple time scales method in the instance of sub-harmonic resonance, and the Rung-Kutta Procedure of the fourth order defined the steady-state solution. In addition, the electric and magnetic factors containing the angle of the operational strength factor, the …


Interaction Of Adjacent Smart Traffic Lights During Traffic Jams At An Intersection, M. E. Mansurova, B. A. Belgibaev, S. Sh. Ixanov, D. T. Karimsakova, D. S. Zhamangarin May 2021

Interaction Of Adjacent Smart Traffic Lights During Traffic Jams At An Intersection, M. E. Mansurova, B. A. Belgibaev, S. Sh. Ixanov, D. T. Karimsakova, D. S. Zhamangarin

Applied Mathematics & Information Sciences

The present paper aims to study based on the movement in the transport system of Almaty, to develop an intelligent adaptive traffic light control system. The relevance of the topic under study has been substantiated. A conceptual scheme for adaptive traffic light control and a module for calculating traffic flow parameters have been developed. This allows to monitor traffic parameters and collect statistics to further improve road safety.


The Precontinuity Property Via Gn −Preopen Sets In Grill Topological Spaces, Amin Saif, Maged Abdulwahab Al-Muntaser May 2021

The Precontinuity Property Via Gn −Preopen Sets In Grill Topological Spaces, Amin Saif, Maged Abdulwahab Al-Muntaser

Applied Mathematics & Information Sciences

This paper introduces and investigates the notions of precontinuity property, contra and almost continuity via GN −preopen sets. They will be introduced in grill topological spaces by using the class of GN −preopen sets. Their relationships with the other known classes of continuous maps will be studied, too.


An Investigation On Int-Soft Interior Hyperideals In Ordered Ternary Semihypergroups, Aakif Fairooze Talee, Mohammad Yahya Abbasi, Kostaq Hila Mar 2021

An Investigation On Int-Soft Interior Hyperideals In Ordered Ternary Semihypergroups, Aakif Fairooze Talee, Mohammad Yahya Abbasi, Kostaq Hila

Applied Mathematics & Information Sciences

The present paper aims to study ordered ternary semihypergroups in terms of the int-soft interior hyperideals. We introduce the notion of int-soft interior hyperideals over ordered ternary semihypergroups. Also, some related properties are investigated. Some characterizations of interior hyperideals in terms of int-soft interior hyperideals are provided. We prove that every int-soft hyperideal is an int-soft interior hyperideal. The converse is not true in general. Examples that illustrate the results are provided.


Properties Of Motion Of The Infinitesimal Variable Mass Body In The Well Known Circular Restricted Three-Body Problem With Newtonian And Yukawa Potential, Abdullah A. Ansari, Mehtab Alam, Kalu Ram Meena, Ashraf Ali Mar 2021

Properties Of Motion Of The Infinitesimal Variable Mass Body In The Well Known Circular Restricted Three-Body Problem With Newtonian And Yukawa Potential, Abdullah A. Ansari, Mehtab Alam, Kalu Ram Meena, Ashraf Ali

Applied Mathematics & Information Sciences

The effects of Newtonian and Yukawa gravitational potentials are studied on the circular restricted three-body system under the assumption that infinitesimal body varies its mass according to Jeans law. The equations of motion are determined under these perturbations. The numerical studies are conducted where locations of equilibrium points, regions of motion, trajectories with Poincare ́ surfaces of section and the basins of attraction have been investigated by well known software Mathematica. Moreover, the stability of the locations of equilibrium points are determined and it was found that all these points are unstable.


On Odd Average Harmonious Labeling Of Graphs, Porpattama Hammachukiattikul, Grienggrai Rajchakit, Vediyappan Govindan, S. Dhivya, Nallappan Gunasekaran, R. Vadivel Mar 2021

On Odd Average Harmonious Labeling Of Graphs, Porpattama Hammachukiattikul, Grienggrai Rajchakit, Vediyappan Govindan, S. Dhivya, Nallappan Gunasekaran, R. Vadivel

Applied Mathematics & Information Sciences

The present paper investigates new idea of odd average harmonious labelling. A function h is known as odd average harmonious labelling of graph G(V,E) with nodes of n and lines of m if h : V(G) → {0,1,2,...,n} is injective and the initiated function h∗ : E(G) → {0,1,2,...,(m−1)} is characterized as h∗(uv)=􏰟h(u)+h(v)+1􏰠(mod m)∀uv∈E(G) 2 the resultant edge names will be clearly bijective. A graph that calls for an odd average harmonious labelling is called an odd average harmonious graph.


The Banach Algebra Of Bounded Φ-Variation Functions On Compact Subsets Of C, Mireya R. Bracamonte, Jurancy J. Ereu ́, Luz E. Marchan M. Mar 2021

The Banach Algebra Of Bounded Φ-Variation Functions On Compact Subsets Of C, Mireya R. Bracamonte, Jurancy J. Ereu ́, Luz E. Marchan M.

Applied Mathematics & Information Sciences

A concept of generalized bounded Φ−variation for complex-valued functions is introduced. We prove that the space of functions of this kind is a Banach algebra with respect to pointwise multiplication. Previously, its properties were shown and the Minkowski functional was used to provide this class of functions with a norm that makes it a Banach space. In addition, some maximal ideals are described.


Dynamics Behaviors Of A Hybrid Switching Epidemic Model With Le ́Vy Noise, Amine El Koufi, Abdelkrim Bennar, Noura Yousfi Mar 2021

Dynamics Behaviors Of A Hybrid Switching Epidemic Model With Le ́Vy Noise, Amine El Koufi, Abdelkrim Bennar, Noura Yousfi

Applied Mathematics & Information Sciences

The present paper investigates the dynamical behaviors of a stochastic SIRS epidemic model with telegraphic noise and Le ́vy noise. First, we establish the existence of a unique global positive solution for stochastic model. Furthermore, by constructing some suitable Lyapunov functions, we show that if R0 ≤ 1 and under some conditions on the parameters, then the solution of stochastic system fluctuates around the disease-free equilibrium, and if R0 > 1 the solution of stochastic system fluctuates around the disease- endemic equilibrium of the deterministic model. Finally, we present numerical simulations to support the theoretical results


Solution Of A Class Of Advanced-Retarded Differential Equations, He ́Ctor M. Moya-Cessa Mar 2021

Solution Of A Class Of Advanced-Retarded Differential Equations, He ́Ctor M. Moya-Cessa

Applied Mathematics & Information Sciences

We give an operator solution to an advanced-retarded differential equation. The application of the operators involved produces a solution in terms of Bessel functions.


Multiply Censored Partially Accelerated Life Testing For Power Function Model, Showkat Ahmad Lone Mar 2021

Multiply Censored Partially Accelerated Life Testing For Power Function Model, Showkat Ahmad Lone

Applied Mathematics & Information Sciences

The present paper explores estimating failure time data under step-stress partially accelerated life testing based on multiply censored data. The lifetime distribution of the test units is assumed to follow the Power Function distribution. The point and interval maximum-likelihood estimations are obtained for the distribution parameter and tampering coefficient. The performances of the estimators of the model parameters using multiply censored data are evaluated and compared in terms of biases and root mean squared errors using a Monte Carlo simulation study.


Geometric Phase Of A Moving Four-Level Lambda-Type Atom In A Dissipative Cavity, Sameh. T. Korashy, Mohammed A. Saleem, T. M. El-Shahat Mar 2021

Geometric Phase Of A Moving Four-Level Lambda-Type Atom In A Dissipative Cavity, Sameh. T. Korashy, Mohammed A. Saleem, T. M. El-Shahat

Applied Mathematics & Information Sciences

In this paper, we investigate some properties through four-level λ -type atom interacting with a single-mode quantized field with multi-photon transitions. We study this system in the presence of detuning parameter, Kerr nonlinearity, and intensity-dependent atom-field coupling in a dissipative cavity (i.e. the field is suffering decay rate). Also, the coupling parameter modulated to be time dependent. The exact solution of this model is given using the Schro ̋dinger equation when the atom and the field are initially prepared in superposition state and coherent state, respectively. We employed the results to calculate some aspects such as atomic population inversion, geometric …


Geodetic Number Of Circulant Graphs Cm({2,4,...,⌊M/2⌋ −1,⌊M/2⌋}), Manal Al-Labadi Mar 2021

Geodetic Number Of Circulant Graphs Cm({2,4,...,⌊M/2⌋ −1,⌊M/2⌋}), Manal Al-Labadi

Applied Mathematics & Information Sciences

In this paper, we compute the geodetic set and geodetic number of circulant graphs Cm ({2, 4, · · · , ⌊m/2⌋ −1,⌊m/2⌋}) where m = 2p or m = p.


The Critical Exponent To Cauchy Problem For A Time Fractional Semi-Linear Equation With A Structural Damping, Khaoula Bouguetof Mar 2021

The Critical Exponent To Cauchy Problem For A Time Fractional Semi-Linear Equation With A Structural Damping, Khaoula Bouguetof

Applied Mathematics & Information Sciences

In this paper, we study the semilinear equation with a time fractional structural damping Dβ0|tu(t,x)−2∆Dα0|tu(t,x)+∆2u(t,x) = |u(t,x)|p t > 0, x ∈ Ω, where p > 1, 1 < α < 1 < β < 2 and Dα is the Caputo fractional derivative. We obtain the blow- up result under some positive data 2 0|t when 1 < p < 1+ 2α . Whereas, if p 􏰁 1+ 2α and ∥u0∥L2qc (Ω), qc = N(p−1)/4 is sufficiently small, we prove the existence of global solution.


The Destructive Cure Rate Regression In Cancer Prognosis And Prediction, Vicente G. Cancho, Gauss M. Cordeiro, Gladys Barriga, Edwin M. M. Ortega, Michael W. Kattan Mar 2021

The Destructive Cure Rate Regression In Cancer Prognosis And Prediction, Vicente G. Cancho, Gauss M. Cordeiro, Gladys Barriga, Edwin M. M. Ortega, Michael W. Kattan

Applied Mathematics & Information Sciences

A new flexible cure rate survival regression is proposed for predicting cancer prognosis, which provides a more realistic interpretation of the biological mechanism of the event of interest. The new regression predicts breast carcinoma survival in post- mastectomy women but it can be applied to different types of surgery offered to treat cancer.


Physical And Dynamical Properties Of The Atomic Spectrum And Squeezing Of Information Entropy Of Su(1,1) Interacting With Single Qubit, Haifa S. Alqannas Mar 2021

Physical And Dynamical Properties Of The Atomic Spectrum And Squeezing Of Information Entropy Of Su(1,1) Interacting With Single Qubit, Haifa S. Alqannas

Applied Mathematics & Information Sciences

In this work, the interaction of an algebraic system of su(1,1) with qubit is investigated. Through Heisenberg’s equations of motion, the constants of motion are calculated. By solving the Schro ̈ding equation, the wave function that defines the features of the proposed system is obtained. Some statistical quantities are studied to determine the properties of the interaction of the algebraic system su(1,1) with qubit. The mathematical formula for the atomic emission spectrum is calculated and its properties are studied for many parameter values. Moreover, the periods of squeezing are defined by the entropy squeezing. The results are also compared and …


Statistical Inference Of Nh Distribution Under Joint Type-I Hybrid Censoring Scheme, Hassan M. Aljohani Mar 2021

Statistical Inference Of Nh Distribution Under Joint Type-I Hybrid Censoring Scheme, Hassan M. Aljohani

Applied Mathematics & Information Sciences

In this paper, we adopted a new insight of testing for Nadarajaha and Haghighi (NH) lifetime products under Type-I hybrid censoring scheme. Hence, NH is an expansion of the exponential distribution, and it provides a more reasonable estimate than the generalized exponential, Weibull, and the gamma distributions, particularly when the observations contain zero values. We built this model and preset some statistical inferences of the model parameters with classical and Bayes methods under different types of loss functions using gamma priors for NH distribution parameters. Next, we consider the point and asymptotic confidence interval estimators with maximum likelihood, and the …


New Method To Optimize The Fully Neutrosophic Linear Programming Problems, A. M. Elhadidi, O. E. Emam, A. M. Abdelfadel Mar 2021

New Method To Optimize The Fully Neutrosophic Linear Programming Problems, A. M. Elhadidi, O. E. Emam, A. M. Abdelfadel

Applied Mathematics & Information Sciences

The present paper investigates the neutrosophic linear programming (LP) models in line with their advantages, where their parameters are represented with a trapezoidal neutrosophic number, and a method to solve them has been introduced. With some mathematical examples, the introduced method has been represented and demonstrated its predominance with the state of the art by comparison. Finally, we conclude that the proposed approach is easier, more effective, and suitable for solving the neutrosophic LP models compared to other approaches.


A Novel Technique For Numerical Approximation Of 2 Dimensional Non-Linear Coupled Burgers’ Equations Using Uniform Algebraic Hyperbolic (Uah) Tension B-Spline Based Differential Quadrature Method, Varun Joshi, Mamta Kapoor Mar 2021

A Novel Technique For Numerical Approximation Of 2 Dimensional Non-Linear Coupled Burgers’ Equations Using Uniform Algebraic Hyperbolic (Uah) Tension B-Spline Based Differential Quadrature Method, Varun Joshi, Mamta Kapoor

Applied Mathematics & Information Sciences

AUniformAlgebraicHyperbolic(UAH)tensionB-splineoffourthorderbasedDifferentialquadraturemethodisdeveloped to tackle the non-linear coupled 2D Burgers’ equation, to fetch the weighting coefficients, used in differential quadrature method, UAH tension B-spline is used as the basis function. UAH tension B-spline based DQM is implemented in the case of spatial discretization and in time discretization, SSP-RK 43 scheme has been implemented. By employing the developed technique upon the coupled 2D non-linear Burgers’ equation, system of ODE got obtained, it is solved using SSP-RK43 scheme. In the present paper five numerical examples are tested to check the accuracy and efficiency of the developed scheme. A comparison is given in the form …


Mathematical Model For Hyperbolic Two Temperature Fractional-Order Thermoelastic Materials Subjected To Thermal Loading, E. Bassiouny Jan 2021

Mathematical Model For Hyperbolic Two Temperature Fractional-Order Thermoelastic Materials Subjected To Thermal Loading, E. Bassiouny

Applied Mathematics & Information Sciences

The behaviour of a homogeneous and isotropic thermoelastic semi-infinite material is investigated based on the accelerations of the conductive and thermodynamical temperature. A half-space $x>0$ under stress free boundary condition at x = 0 and subjected to a thermal loading represented by a heavy sidestep function is considered. A one- dimensional system of equations in the framework of fractional order generalised thermoelasticity theory is considered as well. Laplace transform is used to get the solution in the Laplace domain. Thermally induced temperature, stress and strain distribution functions are determined in the Laplace domain. The Riemann-sum approximation method is used …


Hamilton-Jacobi-Bellman Equations: An Algorithmic Contraction New Approach, M. Miloudi, S. Saadi, M. Haiour Jan 2021

Hamilton-Jacobi-Bellman Equations: An Algorithmic Contraction New Approach, M. Miloudi, S. Saadi, M. Haiour

Applied Mathematics & Information Sciences

In this paper, we introduce a new method to analyze the convergence of the standard finite element method for Hamilton- Jacobi-Bellman equation (HJB) with noncoercive operators. The method consists of combining Bensoussan-Lions algorithm with the characterization of the solution, in both the continuous and discrete contexts, as fixed point of contraction. Optimal error estimates are then derived, first between the continuous algorithm and its finite element counterpart, and then between the continuous solution and the approximate solution.


Calderon-Zygmund Operators And Singular Integrals, Mykola Yaremenko Jan 2021

Calderon-Zygmund Operators And Singular Integrals, Mykola Yaremenko

Applied Mathematics & Information Sciences

In this article, we establish conditions on continuous restrictively bounded linear mapping T from S to S′ associated with the kernel K under which the operator T extends to a bounded operator T : Lp 􏰀Rl􏰁 → Lp 􏰀Rl􏰁. Next, we generalize the interpolation theorem for new functional classes, we show that bounded operator T defined, whose kernel satisfies the standard conditions, is bounded with respect to convex seminorm, so, an inequality M ̃ 1 −1 􏰈􏰄M ̃ 1 (|T ( f )|)􏰅μ 􏰉 ≤ A1 M ̃ 1 −1 􏰈􏰄M ̃ 1 (| f |)􏰅μ 􏰉 holds for the …


The Minkowski Inequality For Generalized Fractional Integrals, Juan Galeano Delgado, Juan E. Na ́Poles Valde ́S, Edgardo Pe ́Rez Reyes, Miguel Vivas-Cortez Jan 2021

The Minkowski Inequality For Generalized Fractional Integrals, Juan Galeano Delgado, Juan E. Na ́Poles Valde ́S, Edgardo Pe ́Rez Reyes, Miguel Vivas-Cortez

Applied Mathematics & Information Sciences

In this work, the well-known Minkowski inequality is studied, using a generalized fractional integral operator, defined and studied by authors in a previous work. Relationships with known results are established throughout the work and in conclusions.


Generalized Schwarz Algorithm For A Class Of Variational Inequalities, Bouzoualegh Ikram, Saadi Samira Jan 2021

Generalized Schwarz Algorithm For A Class Of Variational Inequalities, Bouzoualegh Ikram, Saadi Samira

Applied Mathematics & Information Sciences

We consider a decomposition to m-subdomains of the obstacle problem, which is modeled by a variational inequality of first species, using the auxiliary sequences, and we have proved a alternating relation between the solutions on each subdomain. We also proved a geommetrical convergence between the nth iteration and the solution of the initial problem, we obtained a result on the error estimate that contains a logarithmic factor with an extra power of | log(h)|.


Distinguishing Graphs Associated To Ku-Algebras Using Graph Invariants, Deena Al-Kadi Jan 2021

Distinguishing Graphs Associated To Ku-Algebras Using Graph Invariants, Deena Al-Kadi

Applied Mathematics & Information Sciences

The present paper aims to distinguish two graphs associated to KU-algebras. We construct KU-algebras graph using right zero divisors notion. Properties of right zero divisors in KU-algebras were studied. Moreover, it is proved that the set of right zero divisors of the identity element is a quasi R-prime ideal, whereas the sets of right zero divisors of all other elements are not quasi ideals. A condition is given for a graph to be a star and a complete graph. Then, we show that the diameter of a right zero graph of KU -algebras is two at most. Finally, graph isomorphism …


Global Stability Of A Delayed Fractional-Order Sei Epidemic Model With Logistic Growth, Saad Z. Rida, Ahmed A. Farghaly, Shaimaa A. Azoz, Fatma Hussien Jan 2021

Global Stability Of A Delayed Fractional-Order Sei Epidemic Model With Logistic Growth, Saad Z. Rida, Ahmed A. Farghaly, Shaimaa A. Azoz, Fatma Hussien

Applied Mathematics & Information Sciences

In this paper, we investigate the qualitative behavior of a fractional-order susceptible-exposed-infected (SEI) model with logistic growth and time delay. In the proposed epidemic model, we assumed that the susceptible individuals grow logistically and introduced time delay in latent infected individuals equation. The basic reproduction number R0 is derived using next generation matrix to study the dynamics of the disease free and endemic equilibrium points of the system. Based on the characteristic equations and conditions of the stability of fractional-order differential systems, local stability of the two equilibrium points is discussed. Furthermore, a suitable Lyapunov function is proposed to investigate …