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Solving Systems Of Linear Fractional Integro-Differential Equations With Delay Using Least Squares Method And Chebyshev Polynomials, Kamal R. Raslan, Khalid K. Ali, Emad M. H. Mohamed, Mansour Lotayif, Mohamed A. Abd El Salam
Solving Systems Of Linear Fractional Integro-Differential Equations With Delay Using Least Squares Method And Chebyshev Polynomials, Kamal R. Raslan, Khalid K. Ali, Emad M. H. Mohamed, Mansour Lotayif, Mohamed A. Abd El Salam
Applied Mathematics & Information Sciences
In this paper, a numerical scheme is introduced for solving a linear system of fractional delay integro-differential equations (FDIDEs). The fractional derivative is considered in the Caputo sense. The spectral least squares method with the aid of the first kind Chebyshev polynomials was introduced to treat the proposed systems. The suggested method reduces this type of system to the solution of a block system of linear algebraic equations. To demonstrate the accuracy and applicability of the presented method some test examples are provided. Numerical results show that this approach is easy to implement and accurate when applied to the proposed …
Explaining Ovarian Cancer Data With Increasing Hazard Model, Brijesh P. Singh, Utpal Dhar Das, Sandeep Singh, Mansour Lotayif
Explaining Ovarian Cancer Data With Increasing Hazard Model, Brijesh P. Singh, Utpal Dhar Das, Sandeep Singh, Mansour Lotayif
Applied Mathematics & Information Sciences
A single parameter model is developed in this study and used to understand ovarian cancer data. Its several mathematical and statistical properties such as the hazard rate function, moments, moment generating function, mean residual life function, renyi entropy, Bonferroni and Lorenz curve along with order statistics are derived. Maximum likelihood method is used to estimate the parameter. Also the importance of proposed model is checked for engineering data. Analysis reveals that the proposed model has potential to provide a better explanation than several existing lifetime models.
The Ornstein-Uhlenbeck Operator For Uncorrelated Random Variables, Adaobi Mmachukwu Udoye, Chisara Peace Ogbogbo, Ralph Agyei Twum
The Ornstein-Uhlenbeck Operator For Uncorrelated Random Variables, Adaobi Mmachukwu Udoye, Chisara Peace Ogbogbo, Ralph Agyei Twum
Applied Mathematics & Information Sciences
This work considers Ornstein-Uhlenbeck operator whose role in sensitivity analysis involving Malliavin calculus is of immense importance in different fields including financial mathematics. There is need to consider Ornstein-Uhlenbeck operator for uncorrelated random variables since certain phenomenon involve uncorrelated Gaussian random variables. Thus, we derive the operator for uncorrelated multivariate Gaussian random variables suitable for phenomenon involving multivariate random variables.
Symmetry Solutions And Conserved Quantities Of An Extended (1+3)-Dimensional Kadomtsev-Petviashvili- Like Equation, Oke Davies Adeyemo, Chaudry Masood Khalique
Symmetry Solutions And Conserved Quantities Of An Extended (1+3)-Dimensional Kadomtsev-Petviashvili- Like Equation, Oke Davies Adeyemo, Chaudry Masood Khalique
Applied Mathematics & Information Sciences
In this paper, we study an extended (1+3)-dimensional Kadomtsev-Petviashvili-like equation. Lie symmetry reductions of the equation were performed and direct integration technique was adopted. Kudryashov’s approach was utilized to generate a closed- form solution of the equation. Besides, we employ power series approach to secure a solution of the underlying equation. Solutions found for the underlying equation include hyperbolic function as well as series solutions of the equation. In conclusion, we construct conserved quantities of the aforementioned equation by invoking Ibragimov’s theorem.
On A Generalized Laplace Transform, Vivas-Cortez Miguel, Lugo Motta Bittencurt Luciano M., Na ́Poles Valde ́S Juan E.
On A Generalized Laplace Transform, Vivas-Cortez Miguel, Lugo Motta Bittencurt Luciano M., Na ́Poles Valde ́S Juan E.
Applied Mathematics & Information Sciences
In this work we define a generalized Laplace transform and establish some of its fundamental properties, in addition, we show that it contains as particular cases, several known from the literature, including the classical Laplace transform. In addition, its application to the resolution of generalized differential equations is shown.
Estimating Parameters Of A Seird Model Applied To Sars-Cov-2 Infections In Germany Based On The Particle Swarm Optimization Method, Evandro A. Nakajima, Antonio A. Ignacio, Denise Lange, Erika Izumi
Estimating Parameters Of A Seird Model Applied To Sars-Cov-2 Infections In Germany Based On The Particle Swarm Optimization Method, Evandro A. Nakajima, Antonio A. Ignacio, Denise Lange, Erika Izumi
Applied Mathematics & Information Sciences
The present paper describes a particle swarm optimization (PSO) method used to estimate parameters of a Susceptible- Exposed-Infected-Recovered-Dead (SEIRD) model applied to predict SARS-CoV-2 transmission in Germany, based on data from February 15th to April 25th, 2020, considering that the lockdown in the country started on March 23rd. The model estimated patients’ mortality (4.92%) and recovery rates (95.08%), virus incubation (8.54 days), infection periods (18.65 days), as well as the basic virus reproduction number before (R0 = 11.60) and after (R0 = 0.39) lockdown. The predicted values were accurate until the 70th day. The performances achieved by the model were …
Numerical And Asymptotic Study Of Non-Stationary Mass Transport Of Binary Salt Ions In The Diffusion Layer Near The Cation Exchange Membrane At Prelimiting Currents, Gudza V. A, Chubyr N. O, Kirillova E. V, Urtenov M. Kh
Numerical And Asymptotic Study Of Non-Stationary Mass Transport Of Binary Salt Ions In The Diffusion Layer Near The Cation Exchange Membrane At Prelimiting Currents, Gudza V. A, Chubyr N. O, Kirillova E. V, Urtenov M. Kh
Applied Mathematics & Information Sciences
In this paper, we consider a depleted stationary diffusion layer adjacent to the ion-exchange membrane. The main goal is to study the structure of the diffusion layer over time. A one-dimensional non-stationary mathematical model of the transport of a binary electrolyte in a diffusion layer in a potentiostatic mode is investigated using the Nernst-Planck and Poisson equations. For the first time, it is shown that the left boundary of the space charge region is established quickly, approaching a certain straight line xc =const asymptotically. Using this fact, a new asymptotic solution is constructed. The original feature of the proposed asymptotic …
The Interaction Between M-Configuration Five-Level Atom And A Single Mode Cavity Field, N. H. Abd El-Wahab, R. M. Farghly, H. A. Hassan
The Interaction Between M-Configuration Five-Level Atom And A Single Mode Cavity Field, N. H. Abd El-Wahab, R. M. Farghly, H. A. Hassan
Applied Mathematics & Information Sciences
The present paper aims to clarify several aspects of M-configuration five-level atom interacting with a single mode cavity field. The considered model is characterized by including both the detuning parameter and the initial field phase. The full solution of this model is given for the cases of resonance, off-resonance and non-resonance interaction when the atom is initially prepared in super-position state. However, the input radiation field is taken in a coherent state. Also, the influence of the presence and absent of the detuning parameter and the relative phase on the temporal evaluation for the collapses-revivals, the anti-bunching of photons, the …
Some New Inequalities For Lr-Log-H-Convex Interval-Valued Functions By Means Of Pseudo Order Relation, M. B. Khan, M. Aslam Noor, Hilal M. Y. Al-Bayatti, Khalida Inayat Noor
Some New Inequalities For Lr-Log-H-Convex Interval-Valued Functions By Means Of Pseudo Order Relation, M. B. Khan, M. Aslam Noor, Hilal M. Y. Al-Bayatti, Khalida Inayat Noor
Applied Mathematics & Information Sciences
In this paper, we introduce the concept of LR-log-h-convex interval-valued functions. Under the new concept, we present new versions of Hermite-Hadamard inequalities (i.e. LR-interval Hermite-Hadamard type inequalities) by means of pseudo order relation. This order relation is defined on interval space. Some Jensen type inequalities are also derived for LR-log-h-convex interval-valued functions. Moreover, we have shown that our results include a wide class of new and known inequalities for LR-log-h-convex interval-valued functions and their variant forms as special cases. Useful examples that verify the applicability of the theory developed in this study are presented. The concepts and techniques of this …
On Solutions Of Fully Fuzzy Linear Fractional Programming Problems Using Close Interval Approximation For Normalized Heptagonal Fuzzy Numbers, Majed G. Alharbi, Hamiden Abd El- Wahed Khalifa
On Solutions Of Fully Fuzzy Linear Fractional Programming Problems Using Close Interval Approximation For Normalized Heptagonal Fuzzy Numbers, Majed G. Alharbi, Hamiden Abd El- Wahed Khalifa
Applied Mathematics & Information Sciences
This paper attempts to solve the linear fractional programming problem with fully fuzzy normalized heptagonal fuzzy numbers using the close interval approximation of normalized heptagonal fuzzy number, which is one of the best interval approximations. The maximization (minimization) problem with interval objective function is converted into multi- objective based on order relations introduced by the decision makers’ preference between interval profits (costs). Finally, an example is presented to illustrate the proposed method.
A New Direction To The Maximal Flow Problem: A Route Merging Approach, Elias Munapo, Santosh Kumar, Kolentino Mpeta
A New Direction To The Maximal Flow Problem: A Route Merging Approach, Elias Munapo, Santosh Kumar, Kolentino Mpeta
Applied Mathematics & Information Sciences
The paper presents a new direction to the maximal flow problem. A maximal-flow problem involves finding the largest flow rate a network supply can have from the source to sink. The proposed algorithm solves the flow problem by merging flow routes iteratively until there is only one route left. It has the strength that the problem reduces in size at every iteration. The route merging algorithm belongs to a family of algorithms that solves by reducing the complexity of the flow problem. The flow problem has applications in the networking of pipes and road transportation networks.
General Power Inequalities For Generalized Euclidean Operator Radius, Feras Bani-Ahmad, Mohammed Al-Dolat
General Power Inequalities For Generalized Euclidean Operator Radius, Feras Bani-Ahmad, Mohammed Al-Dolat
Applied Mathematics & Information Sciences
In this paper, we establish generalizations and refinements for some results including upper bounds for the general Euclidean operator radius and the numerical radius.
Estimation On Kumaraswamy-Inverse Weibull Distribution With Constant Stress Partially Accelerated Life Tests, Nagwa M. Mohamed
Estimation On Kumaraswamy-Inverse Weibull Distribution With Constant Stress Partially Accelerated Life Tests, Nagwa M. Mohamed
Applied Mathematics & Information Sciences
This paper presents a method of estimation parameters and acceleration factor of Kumaraswamy-Inverse Weibull Distribution based on constant stress partially accelerated life tests. Depending on progrssive type-II censoring, we present the maximum likelihood, Bayes, and two parametric bootstrap methods. In addition, we use the asymptotic variance covariance matrix of the estimators to construct the approximate confidence intervals, bootstrap and credible confidence intervals. Furthermore, we apply Markov Chain Monte Carlo method to compute the Bayes estimators. Also, generating Markov Chain Monte Carlo samples from the posterior density functions using Gibbs within the Metropolis-Hasting algorithm is studied. Finally, a numerical example is …
On Non Conformable Fractional Laplace Transform, Miguel Vivas-Cortez, Juan E. Na ́Poles Valde ́S, Jorge Eliecer Herna ́Ndez Herna ́Ndez, Jeaneth Velasco Velasco, Oswaldo Larreal
On Non Conformable Fractional Laplace Transform, Miguel Vivas-Cortez, Juan E. Na ́Poles Valde ́S, Jorge Eliecer Herna ́Ndez Herna ́Ndez, Jeaneth Velasco Velasco, Oswaldo Larreal
Applied Mathematics & Information Sciences
In the present paper, the main theorems of the classical Laplace transform are generalized in the non-conforming Laplace transform with nucleus et−α . We calculate the Laplace transform of non-conforming agreement of this kernel from some elementary functions and establish the non-conforming version of the transform of the successive derivative, the integral of a function and the convolution of fractional functions. In addition, the bounded and the existence of the non-conforming Laplace transform is presented. Finally, we show the application of N1− Transform to solving fractional differential equations.
Quantum Approach To Starlike Functions, Khalida Inayat Noor, Muhammad Aslam Noor, Hamdy M. Mohamed
Quantum Approach To Starlike Functions, Khalida Inayat Noor, Muhammad Aslam Noor, Hamdy M. Mohamed
Applied Mathematics & Information Sciences
A new class R∗q(β),q∈(0,1),β∈(0,1], of functions of analytic in E = {z : |z| < 1} with f(0) = f′(0)−1 = 0, is defined using the concept of q-difference operator Dq. as: f ∈ R∗q(β), if and only if, z Dq f (z) is subordinate to 1+z β , q ∈ (0, 1) for z ∈ E . Several properties of this class which include a distortion result, an integral f (z) 1−qz operator and rate of growth of coefficients. Some interesting special cases are deduced from main results as applications.
Improving Network Lifetime In Wsn For The Application Of Iot, Hamdy H. El-Sayed, Hilal Al Bayatti
Improving Network Lifetime In Wsn For The Application Of Iot, Hamdy H. El-Sayed, Hilal Al Bayatti
Applied Mathematics & Information Sciences
In this paper, we improve the strength of enhancing the network lifetime problem using the awake sleep mechanism and extending network lifetime. The results showed that network lifetime has been extended to more than previous studies. Our study used the Effective Energy Sensitive Threshold Network (TEEN) as a homogeneous protocol and distributed energy-saving clusters (DEEC) as heterogeneous protocol. Our results are very important and the benefit when processing and designing WSN for the IoT application.
Project-Based Online Learning Of Practical Engineering Course Throughout Covid-19 Pandemic: A Case Study Analysis Of Mep Electrical Systems Design Using Revit, Osama Yaseen M. Al-Rawi, Hend Elzefzafy, Hadeel Alkurdi, Ammarah Saddiq
Project-Based Online Learning Of Practical Engineering Course Throughout Covid-19 Pandemic: A Case Study Analysis Of Mep Electrical Systems Design Using Revit, Osama Yaseen M. Al-Rawi, Hend Elzefzafy, Hadeel Alkurdi, Ammarah Saddiq
Applied Mathematics & Information Sciences
In this paper, we will present our experiences and results in delivering and developing the course assessments of the engineering practical course. Moreover, we will compare and discuss the course assessment type of the engineering practical courses between the physical classes and the online classes, because we suffer in our distance learning during Covid-19 pandemic since we transferred to distance learning in February 2020 in the kingdom of Bahrain. In my last class in spring semester, I used to change my course assessments by adding the project-based assessment with 55% grade, keeping the rest of the grades for assignment, quiz, …
Computational Modeling Of Detecting A Randomly Target In A Bounded Known Region, Abd Al-Aziz Hosni El-Bagoury, Sundus Naji Al-Aziz, Huda M. Alshanbari, Abdelmoniem Teamah
Computational Modeling Of Detecting A Randomly Target In A Bounded Known Region, Abd Al-Aziz Hosni El-Bagoury, Sundus Naji Al-Aziz, Huda M. Alshanbari, Abdelmoniem Teamah
Applied Mathematics & Information Sciences
This paper formulates a novel quartile coordinated search technique that finds a 3-D randomly located landmine. In addition we calculated the expected time to detect the landmine in Symmetric Coordinated search Technique (SCST). We introduce the optimal search strategy that minimizes the expected time for detecting the landmine assuming trivarite standard normal distribution in the cases SCST. An approximation algorithm has been introduced to facilitate searching procedures. The stochastic Euclidean distance between a known satellite equations and a randomly moving meteor in the 3 dimensional has been introduced. Also, we illustrate a technique known as coordinated search that completely characterizes …
A Two-Group Model Of Tb In A Crowded Environment, Sibaliwe Maku Vyambwera, Peter Witbooi
A Two-Group Model Of Tb In A Crowded Environment, Sibaliwe Maku Vyambwera, Peter Witbooi
Applied Mathematics & Information Sciences
In this paper, we introduce a two-group epidemic model of the dynamics of tuberculosis in a prison system. The total population of inmates consists of two groups: The sentenced inmates and those inmates who are awaiting trial. The threshold parameter for local stability is computed and analysed. We also prove the global stability of the disease free equilibrium using a Lyapunov function. We apply the model to South African data on tuberculosis and we observe consistency between the model prediction and the data. Numerical results are presented to illustrate the analytical results.
Interpolation Of Surfaces With Asymptotic Curves In Euclidean 3-Space, Mustafa Altın, Inan Unal, Fatemah Mofarreh
Interpolation Of Surfaces With Asymptotic Curves In Euclidean 3-Space, Mustafa Altın, Inan Unal, Fatemah Mofarreh
Applied Mathematics & Information Sciences
In this paper, we investigate the interpolation of surfaces which are obtained from an isoasymptotic curve in 3D-Euclidean space. We prove that there exists a unique C0-Hermite surface interpolation related to an isoasymptotic curve under some special conditions on the marching scale functions. Finally, we present some examples and plot their graphs.
Local Well-Posedness For A Generalized Integrable Shallow Water Equation With Strong Dispersive Term, Nurhan Du ̈Ndar, Necat Polat
Local Well-Posedness For A Generalized Integrable Shallow Water Equation With Strong Dispersive Term, Nurhan Du ̈Ndar, Necat Polat
Applied Mathematics & Information Sciences
In this paper, we consider a kind of new nonlinear dispersive wave equation, which is generalized integrable shallow water equation with strong dispersive term. Applying Kato’s semigroup approch, we obtained local well-posedness of Cauchy problem for the generalized integrable shallow water equation with strong dispersive term in Sobolev space (Hs,s > (3/2)).
Matlab Educational Tools In Mathematics Teaching, Dragan Obradovic, Lakshmi Narayan Mishra, Nisha Sharma, Vishnu Narayan Mishra
Matlab Educational Tools In Mathematics Teaching, Dragan Obradovic, Lakshmi Narayan Mishra, Nisha Sharma, Vishnu Narayan Mishra
Applied Mathematics & Information Sciences
The present paper aims to describe the application of educational tools develop interactivity and help pupils and students understand better matematicis.
Exponential Type P–Convex Function With Some Related Inequalities And Their Applications, Miguel Vivas-Cortez, Artion Kashuri, Saad Ihsan Butt, Muhammad Tariq, Jamshed Nasir
Exponential Type P–Convex Function With Some Related Inequalities And Their Applications, Miguel Vivas-Cortez, Artion Kashuri, Saad Ihsan Butt, Muhammad Tariq, Jamshed Nasir
Applied Mathematics & Information Sciences
In this paper, the idea of exponential type p–convex function and its algebraic properties have been investigated.The authors proved new trapezium type inequality for this new class of functions and derived many refinements of the trapezium type inequality for functions whose first derivative in absolute value at certain power is exponential type p–convex. Finally, some new bounds for special means of different positive real numbers are provided as well. The findings show some generalizations of the known results.
Developable Surfaces Through Spacelike Sweeping Surfaces In Minkowski 3–Space, Fatemah Mofarreh, Rashad A. Abdel-Baky, Monia Fouad Naghi
Developable Surfaces Through Spacelike Sweeping Surfaces In Minkowski 3–Space, Fatemah Mofarreh, Rashad A. Abdel-Baky, Monia Fouad Naghi
Applied Mathematics & Information Sciences
We investigate a spacelike sweeping surface with rotation minimizing frames at Minkowski 3–Space E31. Then, we state many results related to the differential geometry of sweeping surfaces that are resulted from these frames. Subsequently, the problem of constructing spacelike/timelike developable surfaces from that sweeping surfaces is analysed.
Existence And Uniqueness For Multi-Term Sequential Fractional Integro-Differential Equations With Non-Local Boundary Conditions, Djamila Chergui, Ahcene Merad, Marwan M. Abdeldayem, Archer Heindric
Existence And Uniqueness For Multi-Term Sequential Fractional Integro-Differential Equations With Non-Local Boundary Conditions, Djamila Chergui, Ahcene Merad, Marwan M. Abdeldayem, Archer Heindric
Applied Mathematics & Information Sciences
In this paper we present a new type of non-local multi-point boundary value problems of Caputo type sequential fractional integro-differential equations. The paper shows that existence and uniqueness results can be obtained using standard tools of fixed point theorem. An application to illustrate the power of the obtained results on quantum information theory is discussed.
A New Non-Parametric Statistical Test For Testing Exponentiality Based On Kernel Method With Applications On Hypothesis Testing, S. E. Abu-Youssef, A. A. El-Toony
A New Non-Parametric Statistical Test For Testing Exponentiality Based On Kernel Method With Applications On Hypothesis Testing, S. E. Abu-Youssef, A. A. El-Toony
Applied Mathematics & Information Sciences
In this paper, the intention of determining the non-parametric test is to assess the methodology of studying the failure behavior of the observed life data. This methodology represents a new test statistic for testing the exponentiality versus the class of life distribution used better than aged in increasing concave ordering (UBAC(2)) based on the kernel method. Using simulation, the percentiles for complete and right censored data and the power of our test statistic are tabulated. The pitman’s asymptotic efficiency is calculated to assess the performance of our proposed test with respect to other tests. Finally, medical applications for real data …
Estimation Of Parameters Of Burr Distribution Under Ssalt, M. O. Mohamed, Esraa Mohamed
Estimation Of Parameters Of Burr Distribution Under Ssalt, M. O. Mohamed, Esraa Mohamed
Applied Mathematics & Information Sciences
Reliability of a system under an accelerated life of step-stress with a progressive first failure sample of Burr distribution is investigated. The Burr distribution has an importance in applied engineering. Under normal circumstances, it is difficult to measure the lifetimes of the product to study the validity function. Failure rarely occurs, so we resort to the process of accelerating failure using accelerated life tests. Great results were scheduled in paper obtained using point-estimation methods such as the maximum likelihood estimator function (MLEs). Also, the mean square error (MSEs) is calculated from the estimated values. Confidence intervals were obtained with different …
Estimation In K-Stage Step-Stress Partially Accelerated Life Tests For Generalized Pareto Distribution With Progressive Type-I Censoring, Rashad M. El-Sagheer, Moaiad A. A. Khder
Estimation In K-Stage Step-Stress Partially Accelerated Life Tests For Generalized Pareto Distribution With Progressive Type-I Censoring, Rashad M. El-Sagheer, Moaiad A. A. Khder
Applied Mathematics & Information Sciences
This article discusses k-stage step-stress partially accelerated life test under Type-I progressive interval censoring with equal inspection intervals of length. The maximum likelihood and parametric bootstrap methods are used to obtain the estimators of the model parameters. Approximate confidence intervals for the unknown parameters are constructed based on the asymptotic variances when the lifetime of a testing unit are assumed to be generalized Pareto distribution. The methods for obtaining the optimal are investigated using the variance-optimality and determinant-optimality criteria. Monte Carlo simulation studies are addressed to illustrate the proposed criteria.
Discrete Bessel And Mathieu Functions, Kenan Uriostegui, Kurt Bernardo Wolf
Discrete Bessel And Mathieu Functions, Kenan Uriostegui, Kurt Bernardo Wolf
Applied Mathematics & Information Sciences
The two-dimensional Helmholtz equation separates in elliptic coordinates based on two distinct foci, a limit case of which includes polar coordinate systems when the two foci coalesce. This equation is invariant under the Euclidean group of translations and orthogonal transformations; we replace the latter by the discrete dihedral group of N discrete rotations and reflections. The separation of variables in polar and elliptic coordinates is then used to define discrete Bessel and Mathieu functions, as approximants to the well-known continuous Bessel and Mathieu functions, as N-point Fourier transforms approximate the Fourier transform over the circle, with integrals replaced by finite …
An Inexact Rough Interval Of Normalized Heptagonal Fuzzy Numbers For Solving Vendor Selection Problem, Hamiden Abd El-Wahed Khalifa, Pavan Kumar, Bayoumi Ali Hassan
An Inexact Rough Interval Of Normalized Heptagonal Fuzzy Numbers For Solving Vendor Selection Problem, Hamiden Abd El-Wahed Khalifa, Pavan Kumar, Bayoumi Ali Hassan
Applied Mathematics & Information Sciences
Vendor selection problem is considered very complicated because a variety of unpredictable and uncontrollable factors affected the evaluation and decision making process. In this paper, a vendor selection problem (VSP) where the buyer allocates a quantity order for a commodity among a set of supplier to achieve the requirements of aggregate cost, service and lead time at the maximum equality is studied. One of the best inexact intervals, namely an inexact rough interval of normalized heptagonal fuzzy numbers is proposed. An inexact rough interval of normalized heptagonal fuzzy numbers for solving VSP without converting it into a deterministic (crisp) problem …