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On Ostrowski-Type Inequalities And Strongly H-Convex Functions, Sofian Obeidat Mar 2020

On Ostrowski-Type Inequalities And Strongly H-Convex Functions, Sofian Obeidat

Applied Mathematics & Information Sciences

We establish some new Ostrowski-type inequalities for the class of functions with the property that the absolute value of their derivatives is strongly h-convex with modulus c > 0. Moreover, we give some applications of the results obtained to cumulative distribution functions, special means, and approximation of the Riemann integral.


Properties And Hermite–Hadamard Type Inequalities For The (M,H1,H2)–Ha–Convex Functions, Jesu ́S Medina-Viloria Mar 2020

Properties And Hermite–Hadamard Type Inequalities For The (M,H1,H2)–Ha–Convex Functions, Jesu ́S Medina-Viloria

Applied Mathematics & Information Sciences

In the paper, I introduce the definition of the (m,h1,h2)–HA-convex functions, present some properties of these new class of functions and establish some inequalities of type Hermite–Hadamard for these functions and an application these inequalities for special means.


Bipolar Intuitionistic Fuzzy Graphs And Its Matrices, Asad M. A. Alnaser, Wael A. Alzoubi, Mourad O. Massadeh Mar 2020

Bipolar Intuitionistic Fuzzy Graphs And Its Matrices, Asad M. A. Alnaser, Wael A. Alzoubi, Mourad O. Massadeh

Applied Mathematics & Information Sciences

In this paper the notions of subdivisions intuitionistic bipolar fuzzy graph, matrix of bipolar intuitionistic fuzzy graph, and line intuitionistic bipolar fuzzy graph are introduced and studied.


The Qualitative Property Of Numerical Solution Of Third Order Sublinear Neutral-Delay Generalized Difference Equation, P. Venkata Mohan Reddy, M. Maria Susai Manuel, Adem Kılıcman Mar 2020

The Qualitative Property Of Numerical Solution Of Third Order Sublinear Neutral-Delay Generalized Difference Equation, P. Venkata Mohan Reddy, M. Maria Susai Manuel, Adem Kılıcman

Applied Mathematics & Information Sciences

Here, we discuss adequate oscillatory conditions for third-order sub linear neutral-delay l-difference equation ∆l (α2(k)∆l (α1(k)∆l(x(k)+ p(k)x(k−τl))))+q(k)xβ (k−σl) = 0, we apply Riccati transformation technique in deriving enough considerations to make sure that every result of this equation is oscillatory. We provide suitable examples to validate our results.


Pseudo Almost Periodic Solutions Of The Third Order Differential Equation With Continuous Delay, Manel Amdouni, Farouk Cherif Mar 2020

Pseudo Almost Periodic Solutions Of The Third Order Differential Equation With Continuous Delay, Manel Amdouni, Farouk Cherif

Applied Mathematics & Information Sciences

In this paper the pseudo almost periodic solutions of a class of nonautonomous third-order differential equation with multiple finite delay is studied by various fixed-point theorems. Moreover, by using new and sufficient conditions, we study the uniformly-bounded and global attractivity of the pseudo almost periodic solutions. Further, an example is given to illustrate the validity of the obtained results.


Edge Subcategories Of The Edge Ideal Of A Graph Simple And Local Cohomology Modules, Carlos Henrique Tognon, Radwan A. Kharabsheh Mar 2020

Edge Subcategories Of The Edge Ideal Of A Graph Simple And Local Cohomology Modules, Carlos Henrique Tognon, Radwan A. Kharabsheh

Applied Mathematics & Information Sciences

This paper is concerned with the relation between local cohomology modules of a module defined by an ideal and the edge subcategories of the category of modules, together with the edge ideal of a graph simple and finite, with no isolated vertices.


Probabilistic Flood Height Estimation Of The Limpopo River At The Beitbridge Using R-Largest Order Statistics, Robert Kajambeu, Caston Sigauke, Alphonce Bere, Delson Chikobvu, Daniel Maposa, Murendeni Maurel Nemukula Mar 2020

Probabilistic Flood Height Estimation Of The Limpopo River At The Beitbridge Using R-Largest Order Statistics, Robert Kajambeu, Caston Sigauke, Alphonce Bere, Delson Chikobvu, Daniel Maposa, Murendeni Maurel Nemukula

Applied Mathematics & Information Sciences

The paper presents modelling of uncertainty in extreme return levels of the flood heights of the Limpopo river at the Beitbridge in which the delta and profile likelihood approaches are used in the estimation of the confidence intervals. The modelling approach discussed in this study is a hybrid modelling framework blending a variety of statistical models, techniques and approaches. Monthly flood height data for the years 1992 to 2014 are used. The method is based on a joint generalised extreme value distribution of the r-largest order statistics. The method is more efficient in its use of data than the traditional …


Integral Inequalities For The Strongly-Generalized Nonconvex Functions, Artion Kashuri, Serkan Araci Mar 2020

Integral Inequalities For The Strongly-Generalized Nonconvex Functions, Artion Kashuri, Serkan Araci

Applied Mathematics & Information Sciences

In this paper, we establish some new inequalities of Hermite–Hadamard type for the strongly-generalized nonconvex function by using the generalized fractional integral operator. Some new results as special cases are provided as well. At the end, some applications to special mean are obtained.


Reduction Of Second-Order Ordinary Differential Equations Into General Linear Equations Via Point Transformations And Its Application, Supaporn Suksern, Chanikan Sawatdithep Mar 2020

Reduction Of Second-Order Ordinary Differential Equations Into General Linear Equations Via Point Transformations And Its Application, Supaporn Suksern, Chanikan Sawatdithep

Applied Mathematics & Information Sciences

We study the linearization of nonlinear second-order ordinary differential equations from the point transformation viewpoint. A new algorithm for finding linearizing point transformation is constructed. The transformation is used to map the underlying class of equations into a linear second-order ordinary differential equation which is in the general form. The general solution of this class of equations is obtained by solving the linearized equation and applying the point transformation. Moreover, we apply the obtained linearization criteria to the interesting problems of nonlinear ordinary differential equations, nonlinear partial differential equations and system of nonlinear ordinary differential equations.


Further Study On Sg∗- Closed Sets And Nsg∗ Closed Sets In Nano Topological Spaces, R. Parimelazhagan, V. Jeyalakshmi Mar 2020

Further Study On Sg∗- Closed Sets And Nsg∗ Closed Sets In Nano Topological Spaces, R. Parimelazhagan, V. Jeyalakshmi

Applied Mathematics & Information Sciences

In this paper, we focused the set Strongly g∗d#, Strongly d􏰣0, Strongly d􏰣1, Strongly d􏰣2, Strongly g∗-kernel of A in topological spaces and studied some of their characters. We also introduce the Nano Sg∗ closed sets and studied few properties.


A Novel Distributed Approach For Frequent Subgraphs Mining Across Cloud Computing System (Distfsm), M. Elshrkawey, Hosam E. Refaat, Hanan H. Amin Mar 2020

A Novel Distributed Approach For Frequent Subgraphs Mining Across Cloud Computing System (Distfsm), M. Elshrkawey, Hosam E. Refaat, Hanan H. Amin

Applied Mathematics & Information Sciences

In this paper, a novel approach known as DistFSM is presented for the FSM on a single graph. The DistFSM operation performed on a cloud computing system is framed on a set of heterogeneous clusters. Each cluster is a set of homogenous nodes. The input graph is converted into a sparse matrix. This matrix is partitioned horizontally into a sequence of non-equivalent chunks. Each chunk size is computed to be appropriate to the available worker resources in one of the clusters. In each cluster, the chunk is partitioned vertically into equivalent tasks. Each task is assigned to one of the …


Machine Learning For Improving Teaching Methods Through Sentiment Analysis, Thuraya Omran, Baraa T. Sharef, Karim Hadjar, Suresh Subramanian Mar 2020

Machine Learning For Improving Teaching Methods Through Sentiment Analysis, Thuraya Omran, Baraa T. Sharef, Karim Hadjar, Suresh Subramanian

Applied Mathematics & Information Sciences

This paper describes how to use machine learning for improving teaching methods through collected sentiments from students. In fact, students sentiment analysis is a promising research area that is used to improve education by monitoring students performance and enabling students and lecturers to address teaching and learning issues in the most beneficial way. In our research, we aim to propose a machine-learning system for improving teaching methods through sentiment analysis, utilizing comments of students in reviews websites. The proposed system aims to automatically classify and analyze the students positive or negative feelings towards the current teaching process. Several techniques and …


A Novel Edge Detection Algorithm Based On Cumulative Residual Entropy, M. A. Al-Shabi Mar 2020

A Novel Edge Detection Algorithm Based On Cumulative Residual Entropy, M. A. Al-Shabi

Applied Mathematics & Information Sciences

In this paper, We proposed a novel edge detection algorithm based on Cumulative Residual Entropy (CRE). It is an essential concept in information theory. However, in our knowledge, it has relatively little consideration in image processing. Image thresholding and edge detection techniques play a crucial role in several of the tasks needed for pattern recognition and computer vision. In this paper, we have studied, implemented,and applied the CRE measure for edge detection. Firstly, We have defined a thresholding criterion based on the CRE measure that is related to the image. Secondly, the optimal solution is used to find edge detection …


13-Brauer Trees Of The Symmetric Group S22, Abdulkareem A. Yaseen, M. B. Tahir Mar 2020

13-Brauer Trees Of The Symmetric Group S22, Abdulkareem A. Yaseen, M. B. Tahir

Applied Mathematics & Information Sciences

In this paper, all the blocks of defect one and the decomposition numbers are all zero or one, then the Brauer tree is a graph connecting the irreducible ordinary characters. The method (r,r′)-inducing (restricting) is used to compute the Brauer trees of the symmetric group S22 modulo P = 13, which gives the irreducible modular spin characters modulo P = 13. Also, the 13-decomposition matrices of the spin characters of S22 are found.


Prediction Of Chemical Toxicity For Drug Design Using Airs Algorithms And Hybrid Classifiers, Amena Mahmoud, Taher Hamza, M. Z. Rashad Mar 2020

Prediction Of Chemical Toxicity For Drug Design Using Airs Algorithms And Hybrid Classifiers, Amena Mahmoud, Taher Hamza, M. Z. Rashad

Applied Mathematics & Information Sciences

Studying toxicology and its relationship to drugs is expected to provide substantial human benefits; however, such benefits demand the ability to recognize and understand drug side effects and prevent them from happening. The proposed model aims to improve toxicity prediction by classifying chemical synthesis using an Artificial Immune Recognition System (AIRS) algorithm. The core of the current approach is its emphasis on constructing a hybrid classification system that achieves an effective performance. This system is achieved by merging three different types of artificial immune recognition system algorithms with a detector-based classifier in a hybrid model and optimizing the final output …


Some New Hypergeometric Transformations Via Fractional Calculus Technique, Mohammad Faisal Khan Mar 2020

Some New Hypergeometric Transformations Via Fractional Calculus Technique, Mohammad Faisal Khan

Applied Mathematics & Information Sciences

In this paper, we establish a new hypergeometric transformation involving Gauss function using fractional calculus technique. We also obtain some other known and new identities involving Gauss function as special cases of our main result. As application of our result, we give two new hypergeometric transformations involving the products of the hypergeometric functions.


On The Maximal Positive Definite Solution Of The Nonlinear Matrix Equation X − ∑ Mi = 1 A ∗I X − 1 A I + ∑ Nj = 1 B ∗J X − 1 B J = I, Mohamed A. Ramadan, Naglaa M. El – Shazly Mar 2020

On The Maximal Positive Definite Solution Of The Nonlinear Matrix Equation X − ∑ Mi = 1 A ∗I X − 1 A I + ∑ Nj = 1 B ∗J X − 1 B J = I, Mohamed A. Ramadan, Naglaa M. El – Shazly

Applied Mathematics & Information Sciences

In this paper, the existence and uniqueness of the maximal positive definite solution of the nonlinear matrix equation X − ∑mi=1 A∗i X −1 Ai + ∑nj=1 B∗j X −1 B j = I is studied. Our technique is based on the coupled fixed-point theorem. A sufficient condition for the existence of the unique maximal solution of the above nonlinear matrix equation is investigated. Some numerical examples are presented to show the applicability and the effectiveness of our technique.


Bayesian Inference For The Randomly-Censored Three-Parameter Burr Xii Distribution, Rashad M. El-Sagheer, Mohamed A. W. Mahmoud, Hasaballah M. Hasaballah Mar 2020

Bayesian Inference For The Randomly-Censored Three-Parameter Burr Xii Distribution, Rashad M. El-Sagheer, Mohamed A. W. Mahmoud, Hasaballah M. Hasaballah

Applied Mathematics & Information Sciences

In this paper, we obtain the point and interval estimations for a three-parameter Burr-XII distribution (TPBXIID) based on randomly-censored data. The maximum likelihood (ML) and Bayes estimation method are used to estimate the unknown parameters of the TPBXIID. Furthermore, approximate confidence intervals (ACIs) for the unknown parameters are constructed. Markov chain Monte Carlo (MCMC) method is applied to find the Bayes estimation. Also, highest posterior density (HPD) credible intervals (CRIs) are obtained for the parameters. Gibbs within Metropolis-Hasting samplers are used to generate samples from the posterior density functions. A couple of real data sets are discussed to illustrate the …


Mathematical Prospective Of Latent Heat Storage System With Cuo Micro Particle Enhancement, M. Dhandayuthabani, S. Jegadheeswaran, V. Vijayan, A. Godwin Antony Mar 2020

Mathematical Prospective Of Latent Heat Storage System With Cuo Micro Particle Enhancement, M. Dhandayuthabani, S. Jegadheeswaran, V. Vijayan, A. Godwin Antony

Applied Mathematics & Information Sciences

Energy consumption for room heating and cooling is a major crisis in several countries. The energy efficiency could be increased by storing the excess heat energy for using in various applications and heat recovery systems. Latent heat storage holds a major advantage of longer retaining ability than other conventional means. The phase change material selected for this study is paraffin wax as it is useful in high temperature storage. The embedment of metal oxides has proven to be more effective in increasing the thermal conductivity and heat storing ability. A specially designed cylindrical shell was employed along with the property …


An Attractive Analytic-Numeric Approach For The Solutions Of Uncertain Riccati Differential Equations Using Residual Power Series, Mohammad Alshammari, Mohammad Al-Smadi, Saleh Alshammari, Omar Abu Arqub, Ishak Hashim, Mohd Almie Alias Mar 2020

An Attractive Analytic-Numeric Approach For The Solutions Of Uncertain Riccati Differential Equations Using Residual Power Series, Mohammad Alshammari, Mohammad Al-Smadi, Saleh Alshammari, Omar Abu Arqub, Ishak Hashim, Mohd Almie Alias

Applied Mathematics & Information Sciences

In this paper, the analytic-approximate solution for a class of quadratic Riccati differential equation under uncertainty is obtained using a modified residual power series (RPS) expansion algorithm. The proposed method is a well-known efficient precise algorithm to address numerous issues in physics and engineering. The RPS is a systematic tool based on the use of the Taylor approach and residual error concept by minimizing error functions to determine the values of the coefficients of the PS according to given initial data of symmetric triangular fuzzy numbers. To interpret the solutions of fuzzy quadratic Riccati equations, the strongly-generalized differentiability sense is …


Dynamic Gompertz Model, Tom Cuchta, Sabrina Streipert Jan 2020

Dynamic Gompertz Model, Tom Cuchta, Sabrina Streipert

Applied Mathematics & Information Sciences

After a brief introduction that includes some fundamentals of time scales, we lay the foundation for dynamic Gompertz models. We derive their unique solutions, present examples in the discrete, quantum, and mixed time scale settings, and we compare its behavior to the solution in the continuous time setting. A discussion of the results and open problems are addressed in the conclusion.


Oscillatory Properties Of A Certain Class Of Mixed Fractional Differential Equations, G. E. Chatzarakis, M. Deepa, N. Nagajothi, V. Sadhasivam Jan 2020

Oscillatory Properties Of A Certain Class Of Mixed Fractional Differential Equations, G. E. Chatzarakis, M. Deepa, N. Nagajothi, V. Sadhasivam

Applied Mathematics & Information Sciences

In this paper, we use the generalized Riccati technique and the integral averaging method to establish new oscillation criteria, for the solutions of a class of mixed fractional order nonlinear differential equations with the conformable fractional derivative and the Riemann-Liouville left-sided fractional derivative. We show the validity and effectiveness of our results by providing various examples.


Some Properties Of Co-Cohen-Macaulay Modules In The Theory Of The Edge Ideal Of A Graph Simple, Carlos Henrique Tognon Jan 2020

Some Properties Of Co-Cohen-Macaulay Modules In The Theory Of The Edge Ideal Of A Graph Simple, Carlos Henrique Tognon

Applied Mathematics & Information Sciences

In this article, we study the theory and properties of co-Cohen-Macaulay modules. We show, for example, that the co- localization of co-Cohen-Macaulay modules preserves co-Cohen-Macaulayness under a certain condition. In addition, we give a characterization of co-Cohen-Macaulay modules by vanishing properties of the dual Bass numbers of modules. Moreover, we involve the theory of graphs within such modules achieving some applications for the edge ideal of a graph.


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 …