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Association of Arab Universities

2020

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Articles 1981 - 1997 of 1997

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An Inequality Related To S-Φ-Convex Functions., Miguel Vivas-Cortez, Yenny Rangel-Oliveros Jan 2020

An Inequality Related To S-Φ-Convex Functions., Miguel Vivas-Cortez, Yenny Rangel-Oliveros

Applied Mathematics & Information Sciences

Using the notion of s-φ-convex functions as generalization of convex functions, we estimate the difference between the middle and right terms in Hermite- Hadamard-Fejer inequality for differentiable mappings.


New Approximate Solution Of The Time-Fractional Nagumo Equation Involving Fractional Integrals Without Singular Kernel, H. M. Srivastava, Khaled M. Saad Jan 2020

New Approximate Solution Of The Time-Fractional Nagumo Equation Involving Fractional Integrals Without Singular Kernel, H. M. Srivastava, Khaled M. Saad

Applied Mathematics & Information Sciences

Caputo-Fabrizio-Caputo fractional integral (CFCFI), Atangana-Baleanu-Caputo fractional integral (ABCFI), Graphical representations. In this paper, we present an algorithm by using the Adomian Decomposition Method (ADM) in order to solve the time-fractional Nagumo equation (TFNE) based upon the Liouville-Caputo type Caputo-Fabrizio fractional integral (CFCFI) and the Liouville-Caputo type Atangana-Baleanu fractional integral (ABCFI). We compute the residual error function and derive remarkably efficient results. By means of graphical representations, we show the behavior of the time-fractional Nagumo equation (TFNE) for different values of the involved parameters α and μ in our present investigation.


Modeling Of Network Packet Switches Using Matrix Analysis, Oladele Theophilus Sule, Roberto Rojas-Cessa Jan 2020

Modeling Of Network Packet Switches Using Matrix Analysis, Oladele Theophilus Sule, Roberto Rojas-Cessa

Applied Mathematics & Information Sciences

We introduce the use of matrix analysis as a method for describing the operation of a packet switch in this paper. Matrix analysis may be used to statistically describe how incoming traffic is switched from inputs to outputs according to the architecture of the switch and the selection of packets for forwarding. This method finds a direct application on throughput analysis of a packet switch, defined by the switch architecture and configuration scheme. We show the applicability of this method on different known switch architectures, as examples, and show that the results are consistent with their reported performance in the …


Effects Of Slip Velocity And Hall Currents On Peristaltic Transport Of Bingham-Papanastasiou Fluid With Heat Transfer, Nabil T. M. Eldabe, Amira S. A. Asar, Hameda M. Shawky Jan 2020

Effects Of Slip Velocity And Hall Currents On Peristaltic Transport Of Bingham-Papanastasiou Fluid With Heat Transfer, Nabil T. M. Eldabe, Amira S. A. Asar, Hameda M. Shawky

Applied Mathematics & Information Sciences

In this paper , we study the effects of slip boundary condition and Hall currents on peristaltic motion of a non-Newtonian fluid which follows Bingham-Papanastasiou model, with heat transfer taking into account the thermal radiation and heat generation, through an asymmetric channel. This phenomena is modeled mathematically by a system of governing equations which are continuity, momentum and heat equations. These equations are solved analytically under low Reynolds number condition and long wavelength approximation. The stream function and temperature distribution are obtained as functions of physical parameters of the problem. The effects of the parameters on these solutions are discussed …


Preserving Finite-Volume Schemes For Two-Time Reaction-Diffusion Model, A. El Harrak, A. Bergam Jan 2020

Preserving Finite-Volume Schemes For Two-Time Reaction-Diffusion Model, A. El Harrak, A. Bergam

Applied Mathematics & Information Sciences

In this paper, we propose an auto adaptive time-step finite volume scheme for a class of two-time reaction-diffusion models of spatially structured population dynamics. Under specific assumptions, we prove that the privileged scheme preserves, at the discrete level, the main features of the continuous problem, namely the non-negativity of the solutions, monotonicity and boundedness. Finally, we present some numerical results to illustrate the efficiency of the proposed algorithm and the behaviour of the model and of the scheme.


On The Qualitative Analyses Of Integro-Differential Equations With Constant Time Lag, Osman Tunc ̧ Jan 2020

On The Qualitative Analyses Of Integro-Differential Equations With Constant Time Lag, Osman Tunc ̧

Applied Mathematics & Information Sciences

In this article, some new investigations are done on stability, asymptotically stability and instability of the zero solution and boundedness, integrability of solutions and integrability of derivatives of solutions of certain nonlinear Volterra delayed integro- differential equations (DIDEs) by using the Lyapunov’s functional method. To fulfill the aim of this work, three meaningful Lyapunov functionals are defined as main tools. Then, five new results are given on the mentioned qualitative properties of solutions of the considered DIDEs. Our results have contributions to the relevant literature and they have sufficient conditions. They include and improve some former results that can be …


Speech Emotion Recognition For Kazakh And Russian Languages, Kanat Kozhakhmet, Rakhima Zhumaliyeva, Aisultan Shoiynbek, Nazerke Sultanova Jan 2020

Speech Emotion Recognition For Kazakh And Russian Languages, Kanat Kozhakhmet, Rakhima Zhumaliyeva, Aisultan Shoiynbek, Nazerke Sultanova

Applied Mathematics & Information Sciences

In the age of information and automation, where the robotics sphere is increasing each day, and people interact with automation systems, emotion recognition mechanisms will play an important role for better interactions between humans and machines. The emotion recognition is very important in AI spheres since it will make human-computer interface (HCI) more user-friendly and similar to the real-man behavior. The audio emotion corpus of Kazakh and Russian languages which has more than 16 000 records on 8 type of emotions is collected during the research. One hundred and one participants participated in the assembly of the corps. Extensive amount …


Stability Analysis Of A Waterborne Infectious Disease Model With Infectious Saturation Effect On Bacterial Disease Transmission, Cemil Bu ̈Yu ̈Kadalı Jan 2020

Stability Analysis Of A Waterborne Infectious Disease Model With Infectious Saturation Effect On Bacterial Disease Transmission, Cemil Bu ̈Yu ̈Kadalı

Applied Mathematics & Information Sciences

This paper considers a waterborne infectious disease model with infectious saturation effect on bacterial disease transmission. For this model we find sufficient conditions for global stability of disease free equilibrium. We verify the result using appropriate numerical simulations.


On Construction And Performance Evaluation Of (4096, 815, 3162) Hermitian Code, Richard Adusei, Mohammed Muniru Iddrisu Jan 2020

On Construction And Performance Evaluation Of (4096, 815, 3162) Hermitian Code, Richard Adusei, Mohammed Muniru Iddrisu

Applied Mathematics & Information Sciences

Algebraic Geometry is a branch of mathematics applied in so many disciplines including Coding Theory. This paper focuses on the construction, performance evaluation and practical implementation of encoding and decoding processes of codes constructed from Hermitian Curves. These codes also known as Hermitian codes are types of Algebraic Geometric codes. In this work, performance of the code is done by simulating the (4096, 815, 3162) hermitian code constructed from a hermitian curve using techniques from algebraic geometry with a (255,153,103) Reed-Solomon code from the same $GF(256)$ . The decoding process uses Berlekamp-Massay-Sakata (BMS) algorithm, Majority Voting and Forney algorithm. The …


Isomorphism Theorem For Neutrosophic Submodules, R. Binu, P. Isaac Jan 2020

Isomorphism Theorem For Neutrosophic Submodules, R. Binu, P. Isaac

Applied Mathematics & Information Sciences

In this paper, we investigate some new features of neutrosophic submodules and their properties. The neutrosophic quotient module and restriction of a neutrosophic submodule to a submodule of R-module are defined. The three fundamental theorems of module isomorphism are extended to isomorphism of neutrosophic submodules.


An Improved Trust And Certificate Aided Secure Communication (Tcasc) Scheme For Cluster-Based Vanet, P. S. Abi, M. Devi, V. Rhymend Uthariaraj Jan 2020

An Improved Trust And Certificate Aided Secure Communication (Tcasc) Scheme For Cluster-Based Vanet, P. S. Abi, M. Devi, V. Rhymend Uthariaraj

Applied Mathematics & Information Sciences

VANET helps in preventing critical circumstances like traffic congestion, unobserved interferences, and accidents. VANET security is vital as their presence relates to dangerous, life-threatening conditions. To certify secure communication between vehicles in VANET, each message should be secured and checked continuously. However, current works are unable to notice the node compromise and message dropping attacks. Furthermore, they encompass a vast communication overhead. Hence the core objective of this research work is to develop a guaranteed communication scheme for VANET, which precisely detects compromised nodes with low-complexity, interruption, and overhead. In this paper, a Trust and Certificate Aided Secure Communication (TCASC) …


Certain Mathematical Investigations On Prenatal Down Syndrome Detection Using Anfis Classification Approach, S. Saranya, S. Sudha Jan 2020

Certain Mathematical Investigations On Prenatal Down Syndrome Detection Using Anfis Classification Approach, S. Saranya, S. Sudha

Applied Mathematics & Information Sciences

The genetic disorder of foetus leads to the formation of Down Syndrome (DS) which can be screened manually by screening the first and second trimester ultra sonogram images. This can be fully automated with the help of computer-aided approaches proposed in this paper. The DS can be screened by enhancing the foetus image using Adaptive histogram equalization technique. Then, Gabor multi resolution transform is applied on the enhanced foetus image in order to convert the spatial domain foetus image into multi resolution foetus image. The features as Effective Binary Pattern (EBP), Grey Level Occurrence Matrix (GLCM) and Local Derivative Pattern …


A Novel Approach To Find Optimal Parameter In The Homotopy-Regularization Method For Solving Integral Equations, Samad Noeiaghdam, Mohammad Ali Fariborzi Araghi Jan 2020

A Novel Approach To Find Optimal Parameter In The Homotopy-Regularization Method For Solving Integral Equations, Samad Noeiaghdam, Mohammad Ali Fariborzi Araghi

Applied Mathematics & Information Sciences

The regularization method is one of the important schemes to solve the ill-posed problems. In this work, by combining the Wazwaz’s regularization method and the homotopy analysis method, a new and robust approach is presented to solve integral equations which is called the homotopy-regularization method. The solution which is produced by the homotopy-regularization method depends on the regularization parameter. In order to find the optimal value of this parameter, the Controle et Estimation Stochastique des Arrondis de Calculs method is applied which is based on the stochastic arithmetic. A theorem is presented to show the accuracy of the proposed approach. …


A Novel Search Algorithm For A Multi Searchers Random Walk, W. A. Afifi, Abd Al-Aziz Hosni El-Bagoury, Sundus Naji Alaziz Jan 2020

A Novel Search Algorithm For A Multi Searchers Random Walk, W. A. Afifi, Abd Al-Aziz Hosni El-Bagoury, Sundus Naji Alaziz

Applied Mathematics & Information Sciences

A lost target is a random walker on one of n disjoint lines, and the purpose is to detect the target as fast as possible. On each line there are two searchers starting the search from the origin of their line, where they follow the so called coordinate search. One common measure of effectiveness for the search process is the expected time of search. This type of search has been addressed and solved in the literature for the case where the target is located. In this paper, we introduce a new model of search and prove that the expected value …


Higher-Order Strongly-Generalized Convex Functions, Muhammad Aslam Noor, Khalida Inayat Noor Jan 2020

Higher-Order Strongly-Generalized Convex Functions, Muhammad Aslam Noor, Khalida Inayat Noor

Applied Mathematics & Information Sciences

In this paper, we define and introduce some new concepts of the higher order strongly-generalized convex functions involving an arbitrary function. Some properties of the higher order strongly-generalized convex functions are investigated under suitable conditions. We have proved that the optimality conditions of higher order strongly generalized can be characterized by a class of variational inequalities, which is called higher-order strongly variational inequality. It is shown that the parallelogram laws for Banach spaces can be obtained as applications of higher-order strongly-generalized affine convex functions. Results obtained in this paper can be viewed as refinement and improvement of previously-known results.


An Accurate Analytical Solution To Strongly Nonlinear Differential Equations, G. M. Ismail, M. Abul-Ez, N. M. Farea Jan 2020

An Accurate Analytical Solution To Strongly Nonlinear Differential Equations, G. M. Ismail, M. Abul-Ez, N. M. Farea

Applied Mathematics & Information Sciences

The study presents an alternative analytical method called Newton Harmonic Balance Method (NHBM) to provide an analytical solution for two nonlinear differential equations that appear in specific dynamics. This method is based on combining Newton’s method and the harmonic balance method. Because the periodic solution is analytically proved, the relation between the natural frequency and the amplitude is obtained in an analytical form. The study compares the present results with the previous ones obtained by other methods to ensure the quality of the NHBM. Comparisons with Runge-Kutta numerical integration solutions are also made and excellent agreement has been observed. The …


Newton’S P-Difference Interpolation Formula For Interval- Valued Function, Md Sadikur Rahman, Md Akhtar, Ali Akbar Shaikh, Asoke Kumar Bhunia Jan 2020

Newton’S P-Difference Interpolation Formula For Interval- Valued Function, Md Sadikur Rahman, Md Akhtar, Ali Akbar Shaikh, Asoke Kumar Bhunia

Applied Mathematics & Information Sciences

Interpolation formula is an important concept in the theory of numerical analysis which is grown up based on interpolation. So, to study the interpolation in interval environment, interval interpolation formulae are more essential. The objective of this article is to establish extended Newton’s interpolation formulae for interval-valued functions using p- difference of intervals. For this purpose, parametric representation of intervals with interval arithmetic in the parametric form and parametric representation of interval-valued function have been discussed briefly. Using p-difference of intervals, finite differences (forward/backward) of interval-valued function have been defined and called them as Newton’s p-difference (forward/backward) operators. After that …