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A Note On The Nonequilibrium Stationary State In Continuous-Activity Thermostatted Models, Carlo Bianca, Marco Menale
A Note On The Nonequilibrium Stationary State In Continuous-Activity Thermostatted Models, Carlo Bianca, Marco Menale
Applied Mathematics & Information Sciences
The present paper addresses uniqueness of the nonequilibrium stationary state of a continuous-activity thermostatted kinetic theory framework. Specifically, a sufficient condition for the existence and uniqueness of the nonequilibrium stationary state is established. The sufficient condition defines a relation between the interaction rate and the magnitude of the external force. The proof of the main result is obtained by employing fixed-point arguments.
Properties Of The Caputo-Fabrizio Fractional Derivative, G. A. Mboro Nchama, L. D. Lau-Alfonso, A. M. Leo ́N Mec ́Ias, M. Rodr ́Iguez Ricard
Properties Of The Caputo-Fabrizio Fractional Derivative, G. A. Mboro Nchama, L. D. Lau-Alfonso, A. M. Leo ́N Mec ́Ias, M. Rodr ́Iguez Ricard
Applied Mathematics & Information Sciences
In this paper, we investigate some properties related Caputo-Fabrizio (CF) fractional derivative. We prove some regularity properties and bounds characterizing the Caputo-Fabrizio derivative operator. Using the method of Laplace transform, we found explicit solutions of some differential equations containing the Caputo-Fabrizio fractional derivative. Different types of inequalities generated by using the Caputo-Fabrizio derivative are also presented.
Asymptotic Stability Of Illicit Drug Dynamics With Banditry Compartment, Akanni John Olajide
Asymptotic Stability Of Illicit Drug Dynamics With Banditry Compartment, Akanni John Olajide
Applied Mathematics & Information Sciences
Substance abuse is one of the major global health and social problems. In view of this, a mathematical model was designed to analyze the dynamics of drug abuse and banditry among population. Necessary conditions for the existence and stability of drug abuse and banditry steady states are derived. The drug abuse and banditry reproduction number is evaluated. A locally asymptotically stable drug abuse and banditry-free equilibrium at the drug abuse and banditry basic reproduction number less than unity is proved via the analysis of characteristic equation. Whereas, the existence of a locally asymptotically stable drug abuse and banditry-present equilibrium is …
Comparative Analysis Of The 100-Year Return Level Of The Average Monthly Rainfall For South Africa: Parent Distribution Versus Extreme Value Distributions, Daniel Mashishi, Daniel Maposa, ’Maseka Lesaoana
Comparative Analysis Of The 100-Year Return Level Of The Average Monthly Rainfall For South Africa: Parent Distribution Versus Extreme Value Distributions, Daniel Mashishi, Daniel Maposa, ’Maseka Lesaoana
Applied Mathematics & Information Sciences
In this paper, we model average monthly rainfall for South Africa using the parent distribution and extreme value theory (EVT). The 100-year return level plays an important role to hydrologists, meteorologists and civil engineers. Hence, the paper focuses on modelling the 100-year return level of average monthly rainfall for South Africa using the parent distribution and EVT. The present paper aims to compare the extreme quantile estimates of the EVT and parent distributions as well as to reveal the risk brought by heavy rainfall in South Africa. The method of maximum likelihood was used to estimate unknown parameters. We first …
Some Generalizations Of Opial Type Inequalities, Mehmet Zeki Sarikaya, Candan Can Bilisik, Pshtiwan Othman Mohammed
Some Generalizations Of Opial Type Inequalities, Mehmet Zeki Sarikaya, Candan Can Bilisik, Pshtiwan Othman Mohammed
Applied Mathematics & Information Sciences
In this study, we establish some new n-th order integral inequalities of Opial type for differentiable functions. Furthermore, we extend our study by examining more general type of differentiable functions. Finally, we see that our results can cover the previous published studies.
A New Bimodal Maxwell Regression Model With Engineering Applications, Fa ́Bio Prataviera, Edwin M. M. Ortega, Gauss M. Cordeiro
A New Bimodal Maxwell Regression Model With Engineering Applications, Fa ́Bio Prataviera, Edwin M. M. Ortega, Gauss M. Cordeiro
Applied Mathematics & Information Sciences
We define the generalized odd log-logistic Maxwell distribution and propose a parametric regression model based on the new distribution with three systematic components for its parameters. Some properties and maximum likelihood estimation are addressed and various simulations for different parameter settings, systematic components and sample sizes are performed. Three applications to real data sets in engineering (strength and mechanics of materials) empirically prove the usefulness of the proposed models.
Segmentation By An Improved Mathematical Morphology Approach, Abdellatif Bouzid-Daho, Mohamed Boughazi, Toufik Hafs
Segmentation By An Improved Mathematical Morphology Approach, Abdellatif Bouzid-Daho, Mohamed Boughazi, Toufik Hafs
Applied Mathematics & Information Sciences
Current researches in medical diagnosis, chemotherapy, surgery and medical therapy need, use bio-images to detect diseases. Research objective is to increase the recognition rate of abnormal blood cells. For that, we have employed some morphological operators. We have developed an algorithmic processing which essentially focuses on the detection, the description, and characterization of abnormal objects. The proposed approach facilitates the interpretation and the pathologies diagnostic of the abnormal blood cells. Experimental results which are adopted by the proposed method are very satisfactory for cancer cells detection.
New Perspective Of Log-Convex Functions, Muhammad Aslam Noor, Khalida Inayat Noor, Muhammad Uzair Awan
New Perspective Of Log-Convex Functions, Muhammad Aslam Noor, Khalida Inayat Noor, Muhammad Uzair Awan
Applied Mathematics & Information Sciences
In this paper, we consider some new perspectives of log-convex functions. We also investigate several properties of the log-convex functions and discuss their relations to convex functions. Optimality conditions are characterized by a class of variational inequalities. Several interesting results characterizing the log-convex functions were obtained. These results are significant developments of previously known results.
Certain Results For The 3-Variable Laguerre-Hermite Polynomials, Tabinda Nahid, Serkan Araci
Certain Results For The 3-Variable Laguerre-Hermite Polynomials, Tabinda Nahid, Serkan Araci
Applied Mathematics & Information Sciences
This paper addresses the mathematical inspection of differential and integral equations for hybrid forms of special polynomials using generating functions. The study aims to find out the differential equations of 3-variable Laguerre-Hermite polynomials. The inclusion of the derivation of the Volterra integral equation of 3-variable Laguerre-Hermite polynomials brings a novelty to the existing literature. Using Mathematica, the surface plots and curves of the aforementioned polynomials are explored and their zeros are investigated
Machine Learning For Breast Cancer Classification Using K-Star Algorithm, Mohamed Sakr, Abeer Saber, Osama M. Abo-Seida, Arabi Keshk
Machine Learning For Breast Cancer Classification Using K-Star Algorithm, Mohamed Sakr, Abeer Saber, Osama M. Abo-Seida, Arabi Keshk
Applied Mathematics & Information Sciences
Early disease detection and prevention play a very significant role in reducing deaths as well as the cost of healthcare. It was found that 8% of women were diagnosed with Breast Cancer (BC) throughout their life. BC is characterized by gene mutation, constant pain, as well as changes in size, color (redness), and breast skin texture. Machine Learning (ML) technologies play an important role in diagnosing and predicting the prognosis of BC. Also, it helps in recognizing people with BC, distinguish benign from malignant tumors using classification techniques. In the current study, we apply four various classifier algorithms: K-star, Na …
Solving Natural Convection Of Darcian Fluid In Porous Media Using Rational Chebyshev Collocation Method, Mahmoud A. Nassar, Mohamed A. Ramadan, Kamal R. Raslan
Solving Natural Convection Of Darcian Fluid In Porous Media Using Rational Chebyshev Collocation Method, Mahmoud A. Nassar, Mohamed A. Ramadan, Kamal R. Raslan
Applied Mathematics & Information Sciences
In this paper, numerical technique is introduced for solving natural convection of Darcian fluid about a vertical full cone embedded in porous media with a prescribed wall temperature or surface heat flux boundary conditions. The power function of distance from the vertex of the inverted cone gives us nonlinear differential equation. Rational Chebyshev collocation method is used to solve the produced third order nonlinear differential equation with boundary conditions transformed to a system of nonlinear equations. The proposed base is specified by its ability of deal with boundary conditions with an independent variable that may tend to infinity with easy …
Distributed List Hub Polling And Light Robust Super-Poll Mac Protocols For Wlan, Mahmoud Abd El-Sattar, Nagwa M. Omar, Hosny M. Ibrahim
Distributed List Hub Polling And Light Robust Super-Poll Mac Protocols For Wlan, Mahmoud Abd El-Sattar, Nagwa M. Omar, Hosny M. Ibrahim
Applied Mathematics & Information Sciences
This paper presents two hub polling medium access control protocols for wireless local area networks based on the robust super poll protocol. The proposed protocols decrease the overhead and increase the throughput through eliminating broadcasting the polling list every super frame and eliminating the use of the chaining mechanism that is utilized in the robust super poll protocol in which all the remaining polling list is appended to every data frame that is sent by every station. The performance analysis of the two proposed protocols is introduced to evaluate their performance compared with Robust Super Poll protocol. The mathematical analysis …
An Efficient Snort Nidsaas Based On Danger Theory And Machine Learning, Hussein M. Elshafie, Tarek M. Mahmoud, Abdelmgeid A. Ali
An Efficient Snort Nidsaas Based On Danger Theory And Machine Learning, Hussein M. Elshafie, Tarek M. Mahmoud, Abdelmgeid A. Ali
Applied Mathematics & Information Sciences
Network Intrusion Detection System (NIDS) is a hardware or software application that allows computer networks to detect, recognize and avoid the harmful activities, which attempt to compromise the integrity, privacy or accessibility of computer network. Two detection techniques are used by the NIDSs, namely, the signature-based and anomaly-based. Signature-based intrusion detection depends on the detection of the signature of the known attacks. On the other hand, the anomaly-based intrusion detection depends on the detection of anomalous behaviours in the networks. Snort is an open source signature-based NIDS and can be used effectively to detect and prevent the known network attacks. …
A Decomposition Algorithm For Solving Multi-Level Large-Scale Linear Programming Problems With Neutrosophic Parameters In The Constrains, O. E. Emam, Manal A. Abdel-Fattah, Safaa.M. Azzam
A Decomposition Algorithm For Solving Multi-Level Large-Scale Linear Programming Problems With Neutrosophic Parameters In The Constrains, O. E. Emam, Manal A. Abdel-Fattah, Safaa.M. Azzam
Applied Mathematics & Information Sciences
Multi-level programming (MLP) is an important branch of operation research. The majority of optimization problems- humans currently face- have very large numbers of variables and constraints and are called large-scale programming problems. However, practical situations entail some imprecision regarding some decisions and performances. Neutrosophic sets play a vital role by considering three independent degrees, namely, the truth membership degree, indeterminacy membership degree, and falsity membership degree, of any aspect of an uncertain decision. The present study focuses on solving multi-level large-scale linear programming problems with neutrosophic parameters in the constrains by considering the problem coefficients to be trapezoidal neutrosophic numbers. …
On The Analytical And Numerical Study For Nonlinear Fredholm Integro-Differential Equations, Amira Abd-Elall Ibrahim, Afaf A. S. Zaghrout, K. R. Raslan, Khalid K. Ali
On The Analytical And Numerical Study For Nonlinear Fredholm Integro-Differential Equations, Amira Abd-Elall Ibrahim, Afaf A. S. Zaghrout, K. R. Raslan, Khalid K. Ali
Applied Mathematics & Information Sciences
In this paper, we investigate the existence of a unique solution to nonlinear Fredholm integro-differential equation. The exact solution of the proposed equation using the direct calculation method is given. We combine the finite difference method with the composite Simpson method to find the numerical solution of the equation. The error estimate of our scheme is discussed in this article. Finally, to illustrate the accuracy of the proposed method, we give five numerical examples and compare the exact solution with the numerical solution.
Parameter Estimation For The Generalized Linear Exponential Distribution Based On Progressively Type-Π Hybrid Censored Data, M. A. W. Mahmoud, N. M. Yhiea, Sh. M. El-Said
Parameter Estimation For The Generalized Linear Exponential Distribution Based On Progressively Type-Π Hybrid Censored Data, M. A. W. Mahmoud, N. M. Yhiea, Sh. M. El-Said
Applied Mathematics & Information Sciences
Estimations of the unknown parameters of the generalized linear exponential distribution (GLED) using type-Π progressive hybrid censored (HC) data are obtained. The maximum likelihood estimation (MLE) and Bayes estimation for all parameters and some lifetime functions (reliability, hazard function and reversed hazard function) are obtained. Also, we apply Markov chain Monte Carlo (MCMC) technique and Lindely’s approximation technique to carry out a Bayesian estimation. Under the assumptions of informative and non-informative priors, estimates of Bayes and credible intervals are obtained. Different methods have been compared using Mont Carlo simulations. Real data set has been investigated for illustrative purpose.
Optical Solitons Of The Extended Gerdjikov-Ivanov Equation In Dwdm System By Extended Simplest Equation Method, Saleh M. Hassan, A. A. Altwaty
Optical Solitons Of The Extended Gerdjikov-Ivanov Equation In Dwdm System By Extended Simplest Equation Method, Saleh M. Hassan, A. A. Altwaty
Applied Mathematics & Information Sciences
The extended simplest equation method has been employed to obtain optical soliton solutions to the improved Gerdjikov- Ivanov equation in dense wavelength division multiplexed (DWDM) system for both kerr law and parabolic law nonlinearities. The procedure reveals new singular soliton solutions, bright soliton solutions, solutions in terms of Jacobi’s elliptic function. Moreover, in the limiting case of the modulus of ellipticity, new singular and singular-periodic soliton solutions are obtained.
The Entangling-Probe Attack On The Bennett-Brassard 1984 Protocol, H. F. Abdel-Hameed
The Entangling-Probe Attack On The Bennett-Brassard 1984 Protocol, H. F. Abdel-Hameed
Applied Mathematics & Information Sciences
In this paper, we introduce a generalization of the Fuchs-Peres-Brandt (FPB) attack which is the most powerful individual- photon attack against Bennett-Brassard 1984 (BB84) quantum key distribution protocol. We suppose that Eve sets up her C-NOT gate with its control-qubit computational basis {|0⟩C , |1⟩C } given by an α rotation from the BB84 (H − V ) basis.
New Prospective Of The Equiconvergence Theorem, M. B. Tahir, Abdulkareem A. Yaseen
New Prospective Of The Equiconvergence Theorem, M. B. Tahir, Abdulkareem A. Yaseen
Applied Mathematics & Information Sciences
We prove a general form of the equiconvergence theorem using the method of V. A. Il’n. Horva ́th, Joo ́ and Komornik which provides a general theorem for the one dimensional Schro ̈ dinger operator. We prove that the theorem for certain situation is more general than the previous theorem. In particular, we write down the difference of the trigonometric kernel of the general expansion and estimate the resulting infinite sums. For the terms of these sums we used different and sharper estimates than in the previous investigations.
Parameter Inference Of A Stochastic Sis Model Of Transmission Of Hiv/Aids With Immigration Effect, Youness El Ansari, Ali El Myr, Lahcen Omari
Parameter Inference Of A Stochastic Sis Model Of Transmission Of Hiv/Aids With Immigration Effect, Youness El Ansari, Ali El Myr, Lahcen Omari
Applied Mathematics & Information Sciences
In this paper, two techniques of parameter estimation based on the Euler-maximum likelihood are used to estimate some influential parameters of a stochastic SIS epidemic model of transmission of HIV/AIDS. The latter is alimented by a constant flow of new members whose fraction is infective. After presenting the two estimation techniques, we adress a complete study of the consistency and convergence of the proposed estimators. Data concerning HIV/AIDS in Morocco are used to simulate the different results and to compare the effectiveness of the used techniques.
The Censored Bimodal Skew-Normal-Flexible Model With An Application To Plasma Hiv-1 Rna, Germa ́N Moreno-Arenas, Guillermo Mart ́Inez-Flo ́Rez, Artur J. Lemonte
The Censored Bimodal Skew-Normal-Flexible Model With An Application To Plasma Hiv-1 Rna, Germa ́N Moreno-Arenas, Guillermo Mart ́Inez-Flo ́Rez, Artur J. Lemonte
Applied Mathematics & Information Sciences
We introduce the censored bimodal skew-normal-flexible distribution which can be very useful in dealing with censored data together with bimodality and high (or low) levels of skewness and kurtosis. A simple expression for its moments is derived. The frequentist approach is considered to draw inference, and the traditional maximum likelihood method is employed to estimate the unknown parameters. We also derive the observed information matrix. An application of the new model to the plasma HIV-1 RNA measurement is presented for illustrative purposes.
Analytical Approach To Study The Generalized Lane-Emden Model Arises In The Study Of Stellar Configuration, Fazal Abbas, Petko Kitanov, Sierra Chimene, Abbas Rehmani
Analytical Approach To Study The Generalized Lane-Emden Model Arises In The Study Of Stellar Configuration, Fazal Abbas, Petko Kitanov, Sierra Chimene, Abbas Rehmani
Applied Mathematics & Information Sciences
In this paper, we consider the generalized Lane-Emden model which arises in the study of steller configuration. We came up with the nonlinear, multi-singular, initial value ordinary differential equations. Mathematical induction is used to verify the generalized non-iterative higher-order Lane-Emden type equation. We use various Homotopy Analysis Method (HAM) algorithms to find the convergent series solutions of the model. It is observed how the choice of initial value, increasing values of M in the polynomial nonlinearity yM, and different choices of HAM algorithms impact the solution radius of convergence. Convergent series solutions obtained from HAM algorithms are compared with the …
Constancy Of Speed Of Light In Inertial Frames, Hafez A. Radi, Thomas E. Ward
Constancy Of Speed Of Light In Inertial Frames, Hafez A. Radi, Thomas E. Ward
Applied Mathematics & Information Sciences
This article proves that speed of light in all uniformly moving inertial reference frames is absolute as postulated by Einstein. This is first done by considering light propagating with a speed c in all directions in an inertial frame of reference. If that frame is moving uniformly with a speed v relative to a second stationary inertial frame, we assume that light in the second frame is propagating in all directions with a different speed cp=pc. Consequently, modified transformation Equations are formed. The established Poincaré ellipsoidal light waves are then used to find the Equation that governs the relation of …
Soliton Solutions Of A Nonlinear Fractional Sasa-Satsuma Equation In Monomode Optical Fibers, D. Baleanu, M. S. Osman, Asad Zubair, Nauman Raza, Omar Abu Arqub, Wen-Xiu Ma
Soliton Solutions Of A Nonlinear Fractional Sasa-Satsuma Equation In Monomode Optical Fibers, D. Baleanu, M. S. Osman, Asad Zubair, Nauman Raza, Omar Abu Arqub, Wen-Xiu Ma
Applied Mathematics & Information Sciences
This article is devoted to retrieving soliton solutions of a nonlinear Sasa-Satsuma equation governing the propagation of short light pulses in the monomode optical fibers using the effect of conformable fractional transformation. The Integrability is carried out by incorporating two versatile integration gadgets namely the first integral method and the generalized projective Riccati equation method. The resulting solutions include bright, dark, singular, periodic as well as rational solitons along with their existence criteria. Furthermore, the fractional behavior of the solutions is investigated comprehensively using graphs.
On Solutions Of Nonlinear Integral Equations In The Space Of Functions Of Shiba-Bounded Variation, Jurancy Ereu ́, Jose ́ Gime ́Nez, Liliana Pe ́Rez
On Solutions Of Nonlinear Integral Equations In The Space Of Functions Of Shiba-Bounded Variation, Jurancy Ereu ́, Jose ́ Gime ́Nez, Liliana Pe ́Rez
Applied Mathematics & Information Sciences
In this paper we discuss the existence and uniqueness of solutions of the nonlinear Hammerstein integral equation, Volterra– Hammerstein integral equation and Volterra integral equation in the space of functions of bounded variation in the sense of Shiba, (ΛpBV).
Exponential Stability And Numerical Results Of A Coupled System Of Wave Equations With Indirect Control, J. A. J. Avila, R. F. C. Lobato, J. A. D. Chuquipoma, M. J. Dos Santos
Exponential Stability And Numerical Results Of A Coupled System Of Wave Equations With Indirect Control, J. A. J. Avila, R. F. C. Lobato, J. A. D. Chuquipoma, M. J. Dos Santos
Applied Mathematics & Information Sciences
The present paper addresses a coupled system of waves with indirect control. First, using Semigroup Theory we prove the existence of solution applying the Lumer-Phillips theorem. We show the exponential decay of the solution using Nakao’s method. Computational experiments are conducted in the one-dimensional case in order to show that the dissipative energy properties are present. To obtain the time behavior of the energy of system, we resolve two numerical tests. Finally, in both tests, we conclude that the system, for one-dimensional case, is dissipative with exponential stability.
Stability And Existence Analysis To A Coupled System Of Caputo Type Fractional Differential Equations With Erdelyi-Kober Integral Boundary Conditions, Muthaiah Subramanian, Dumitru Baleanu
Stability And Existence Analysis To A Coupled System Of Caputo Type Fractional Differential Equations With Erdelyi-Kober Integral Boundary Conditions, Muthaiah Subramanian, Dumitru Baleanu
Applied Mathematics & Information Sciences
This article focuses on the Hyers-Ulam type stability, existence and uniqueness of solutions for new types of coupled boundary value problems involving fractional differential equations of Caputo type and augmented with Erdelyi-Kober fractional integral boundary conditions. The nonlinearity relies on the unknown functions. The consequence of the existence is obtained through the Leray-Schauder alternative, whereas the uniqueness of the solution relies on the Banach contraction mapping principle. We analyze the stability of the solutions concerned in the Hyers-Ulam form. As an application, some examples are presented to illustrate the main results. Finally, some variants of the problem are addressed.
Authenticated Encryption Scheme Based On Ecdlp And Dlp, Mohammad S. Hijazi, Nedal Tahat, Ashraf A. Tahat, Raft Abdelrahim, Eddie S. Ismail
Authenticated Encryption Scheme Based On Ecdlp And Dlp, Mohammad S. Hijazi, Nedal Tahat, Ashraf A. Tahat, Raft Abdelrahim, Eddie S. Ismail
Applied Mathematics & Information Sciences
This paper presents a new authenticated encryption scheme (AES) based on elliptic curve discrete logarithm problem (ECDLP) and discrete logarithm problem (DLP). Assume that we have one signer, and a set of U = (u1,u2,...,ul), which represents the verifiers group of L members. A single signer can encrypt and sign the message only if k (1 ≤ k ≤ l) or more verifiers agree to recover the message m on behalf of the whole verifier group U. In addition, we need a system authority with the task of generating the parameter, while a trusted clerk selected by the signer is …
Stability And Ultimate Boundedness For Non- Autonomous System With Variable Delay, Ayman M. Mahmoud, Cemil Tunc ̧
Stability And Ultimate Boundedness For Non- Autonomous System With Variable Delay, Ayman M. Mahmoud, Cemil Tunc ̧
Applied Mathematics & Information Sciences
In this paper, we investigate proper sufficient conditions for the uniform stability (US) of the zero solution, and for the uniform boundedness (UB) as well as uniform ultimate boundedness (UUB) of all solutions of a certain system of nonlinear non- autonomous third-order differential equation (DE) with variable delay. In the proofs, the method of Lyapunov functional (LF) approach is employed as a main tool and two examples are presented in the last section to show feasibility of the established results which improve the results of the previous pieces of literature.
Action Of Ornstein-Uhlenbeck Semigroup On (W1,W2)-Tempered Ultradistributions, Maysam Abu-Dalu, Ala Qadomi, Sa’Ud Al-Sa’Di
Action Of Ornstein-Uhlenbeck Semigroup On (W1,W2)-Tempered Ultradistributions, Maysam Abu-Dalu, Ala Qadomi, Sa’Ud Al-Sa’Di
Applied Mathematics & Information Sciences
Using a previously obtained structure theorem for (w1,w2)-tempered ultradistributions by the classical Riesz representation theorem, we investigate the action of the Ornstein-Uhlenbeck semigroup on (w1,w2)-tempered ultradistributions. As a result, we observe that these tempered ultradistributions can be represented as boundary values to the heat equation ut − Au = 0, for t > 0.