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2020

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On Submoduloids Of A Moduloid On Nexus, Reza Kamranialiabad, Abbas Hasankhani, Masoud Bolourian Dec 2020

On Submoduloids Of A Moduloid On Nexus, Reza Kamranialiabad, Abbas Hasankhani, Masoud Bolourian

Applications and Applied Mathematics: An International Journal (AAM)

In this paper, the submoduloid of a moduloid on nexus that is generated by a subset, cyclic submoduloid and bounded sets are defined and the properties of structures on it are investigated. Also, the fractions of a moduloid on nexus are defined and shown to be isomorphic with a moduloid on nexus.

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Nonparametric Estimation Of Trend Function For Stochastic Differential Equations Driven By A Weighted Fractional Brownian Motion, Abdelmalik Keddi, Fethi Madani, Amina A. Bouchentouf Dec 2020

Nonparametric Estimation Of Trend Function For Stochastic Differential Equations Driven By A Weighted Fractional Brownian Motion, Abdelmalik Keddi, Fethi Madani, Amina A. Bouchentouf

Applications and Applied Mathematics: An International Journal (AAM)

In this paper, we consider the problem of nonparametric estimation of trend function for stochastic differential equations driven by a weighted fractional Brownian motion (weighted-fBm). Under some general conditions, the consistent uniform, the rate of convergence as well as the asymptotic normality of our estimator are established. In addition, a numerical example is provided to illustrate the validity of the considered estimator.

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Impatient Customers In An Markovian Queue With Bernoulli Schedule Working Vacation Interruption And Setup Time, P. Manoharan, T. Jeeva Dec 2020

Impatient Customers In An Markovian Queue With Bernoulli Schedule Working Vacation Interruption And Setup Time, P. Manoharan, T. Jeeva

Applications and Applied Mathematics: An International Journal (AAM)

In this paper, using probability generating function method, Impatient customers in an Markovian queue with Bernoulli schedule working vacation interruption and setup time is discussed. Customers impatience is due to the servers vacation. During the working vacation period, if there are customers in the queue, the vacation can be interrupted at a service completion instant and the server begins a regular service period with probability (1 - b) or continues the vacation with probability b. We obtain the probability generating functions of the stationary state probabilities, performance measures, sojourn time of a customer and stochastic decomposition of the queue length, …

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On A Multiserver Queueing System With Customers’ Impatience Until The End Of Service Under Single And Multiple Vacation Policies, Mokhtar Kadi, Amina A. Bouchentouf, Lahcene Yahiaoui Dec 2020

On A Multiserver Queueing System With Customers’ Impatience Until The End Of Service Under Single And Multiple Vacation Policies, Mokhtar Kadi, Amina A. Bouchentouf, Lahcene Yahiaoui

Applications and Applied Mathematics: An International Journal (AAM)

This paper deals with a multiserver queueing system with Bernoulli feedback and impatient customers (balking and reneging) under synchronous multiple and single vacation policies. Reneged customers may be retained in the system. Using probability generating functions (PGFs) technique, we formally obtain the steady-state solution of the proposed queueing system. Further, important performance measures and cost model are derived. Finally, numerical examples are presented.

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The Odd Inverse Rayleigh Family Of Distributions: Simulation & Application To Real Data, Saeed E. Hemeda, Muhammad A. Ul Haq Dec 2020

The Odd Inverse Rayleigh Family Of Distributions: Simulation & Application To Real Data, Saeed E. Hemeda, Muhammad A. Ul Haq

Applications and Applied Mathematics: An International Journal (AAM)

A new family of inverse probability distributions named inverse Rayleigh family is introduced to generate many continuous distributions. The shapes of probability density and hazard rate functions are investigated. Some Statistical measures of the new generator including moments, quantile and generating functions, entropy measures and order statistics are derived. The Estimation of the model parameters is performed by the maximum likelihood estimation method. Furthermore, a simulation study is used to estimate the parameters of one of the members of the new family. The data application shows that the new family models can be useful to provide better fits than other …

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Estimating Parameter Of The Selected Uniform Population Under The Generalized Stein Loss Function, K. R. Meena, Aditi K. Gangopadhyay Dec 2020

Estimating Parameter Of The Selected Uniform Population Under The Generalized Stein Loss Function, K. R. Meena, Aditi K. Gangopadhyay

Applications and Applied Mathematics: An International Journal (AAM)

This paper deals with the problem of estimating scale parameter of the selected uniform population when sample sizes are unequal. The loss has been measured by the generalized Stein loss (GSL) function. The uniformly minimum risk unbiased (UMRU) estimator is derived, and the natural estimators are also constructed under the GSL function. One of the natural estimators is proved to be the generalized Bayes estimator with respect to a noninformative prior. For k = 2, we obtained a sufficient condition for an inadmissibility result and demonstrate that the natural estimator and UMRU estimator are inadmissible. A simulation investigation is also …

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Impulse Effect On The Food-Limited Population Model With Piecewise Constant Argument, Fatma Karakoç Dec 2020

Impulse Effect On The Food-Limited Population Model With Piecewise Constant Argument, Fatma Karakoç

Applications and Applied Mathematics: An International Journal (AAM)

The qualitative study of mathematical models is an important area in applied mathematics. In this paper, a version of the food-limited population model with piecewise constant argument under impulse effect is investigated. Differential equations with piecewise constant arguments are related to difference equations. First, a representation for the solutions of the food-limited population model is stated in terms of the solutions of corresponding difference equation. Then using linearized oscillation theory for difference equations, a sufficient condition for the oscillation of the solutions about positive equilibrium point is obtained. Moreover, asymptotic behavior of the non-oscillatory solutions are investigated. Later, applying the …

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Exact Solutions Of Two Nonlinear Space-Time Fractional Differential Equations By Application Of Exp-Function Method, Elahe M. Eskandari, Nasir Taghizadeh Dec 2020

Exact Solutions Of Two Nonlinear Space-Time Fractional Differential Equations By Application Of Exp-Function Method, Elahe M. Eskandari, Nasir Taghizadeh

Applications and Applied Mathematics: An International Journal (AAM)

In this paper, we discuss on the exact solutions of the nonlinear space-time fractional Burgerlike equation and also the nonlinear fractional fifth-order Sawada-Kotera equation with the expfunction method.We use the functional derivatives in the sense of Riemann-Jumarie derivative and fractional convenient variable transformation in this study. Further, we obtain some exact analytical solutions including hyperbolic function.

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Introduce Gâteaux And Frêchet Derivatives In Riesz Spaces, Abdullah Aydın, Erdal Korkmaz Dec 2020

Introduce Gâteaux And Frêchet Derivatives In Riesz Spaces, Abdullah Aydın, Erdal Korkmaz

Applications and Applied Mathematics: An International Journal (AAM)

In this paper, the Gâteaux and Frêchet differentiations of functions on Riesz space are introduced without topological structure. Thus, we aim to study Gâteaux and Frêchet differentiability functions in vector lattice by developing topology-free techniques, and also, we give some relations with other kinds of operators.

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Accurate Spectral Algorithms For Solving Variable-Order Fractional Percolation Equations, M. A. Abdelkawy Dec 2020

Accurate Spectral Algorithms For Solving Variable-Order Fractional Percolation Equations, M. A. Abdelkawy

Applications and Applied Mathematics: An International Journal (AAM)

A high accurate spectral algorithm for one-dimensional variable-order fractional percolation equations (VO-FPEs) is considered.We propose a shifted Legendre Gauss-Lobatto collocation (SL-GLC) method in conjunction with shifted Chebyshev Gauss-Radau collocation (SC-GR-C) method to solve the proposed problem. Firstly, the solution and its space fractional derivatives are expanded as shifted Legendre polynomials series. Then, we determine the expansion coefficients by reducing the VO-FPEs and its conditions to a system of ordinary differential equations (SODEs) in time. The numerical approximation of SODEs is achieved by means of the SC-GR-C method. The under-study’s problem subjected to the Dirichlet or non-local boundary conditions is presented …

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Classification Of Some First Order Functional Differential Equations With Constant Coefficients To Solvable Lie Algebras, J. Z. Lobo, Y. S. Valaulikar Dec 2020

Classification Of Some First Order Functional Differential Equations With Constant Coefficients To Solvable Lie Algebras, J. Z. Lobo, Y. S. Valaulikar

Applications and Applied Mathematics: An International Journal (AAM)

In this paper, we shall apply symmetry analysis to some first order functional differential equations with constant coefficients. The approach used in this paper accounts for obtaining the inverse of the classification. We define the standard Lie bracket and make a complete classification of some first order linear functional differential equations with constant coefficients to solvable Lie algebras.We also classify some nonlinear functional differential equations with constant coefficients to solvable Lie algebras.

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The Binomial Transform Of P-Recursive Sequences And The Dilogarithm Function, Stephanie L. Harshbarger, Barton L. Willis Dec 2020

The Binomial Transform Of P-Recursive Sequences And The Dilogarithm Function, Stephanie L. Harshbarger, Barton L. Willis

Applications and Applied Mathematics: An International Journal (AAM)

Using a generalized binomial transform and a novel binomial coefficient identity, we will show that the set of p-recursive sequences is closed under the binomial transform. Using these results, we will derive a new series representation for the dilogarithm function that converges on its domain of analyticity. Finally, we will show that this series representation results in a scheme for numerical evaluation of the dilogarithm function that is accurate, efficient, and stable.

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Effect Of Induced Magnetic Field On Mixed Convection Flow In A Vertical Channel With Symmetric And Asymmetric Wall Heating Conditions, Hasan N. Zaidi Dec 2020

Effect Of Induced Magnetic Field On Mixed Convection Flow In A Vertical Channel With Symmetric And Asymmetric Wall Heating Conditions, Hasan N. Zaidi

Applications and Applied Mathematics: An International Journal (AAM)

The present paper concerns the study of the induced magnetic field effect on mixed convection flow of viscous incompressible electrically conducting fluid in a vertical channel with symmetric and asymmetric wall heating conditions with heat generation. A steady, laminar, and fully developed flow is considered. Through the appropriate choice of dimensionless variable, the governing equations are developed and three types of thermal boundary conditions isothermal-isothermal, isoflux-isothermal, and isothermal-isoflux for the left-right wall of the channel have prescribed. The analytical solutions for the velocity field, temperature field, magnetic field, and induced current density have been acquired for three types of thermal …

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Dynamical Behavior Of An Eco-Epidemiological Model Incorporating Prey Refuge And Prey Harvesting, Dawit Melese, Ousman Muhye, Subrata K. Sahu Dec 2020

Dynamical Behavior Of An Eco-Epidemiological Model Incorporating Prey Refuge And Prey Harvesting, Dawit Melese, Ousman Muhye, Subrata K. Sahu

Applications and Applied Mathematics: An International Journal (AAM)

In this paper an eco-epidemiological model incorporating a prey refuge and prey harvesting with disease in the prey-population is considered. Predators are assumed to consume both the susceptible and infected prey at different rates. The positivity and boundedness of the solution of the system are discussed. The existence and stability of the biologically feasible equilibrium points are investigated. Numerical simulations are performed to support our analytical findings.

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Multilayer Security Of Rgb Image In Discrete Hartley Domain, Umar H. Mir, Deep Singh, D. C. Mishra, Parveiz N. Lone Dec 2020

Multilayer Security Of Rgb Image In Discrete Hartley Domain, Umar H. Mir, Deep Singh, D. C. Mishra, Parveiz N. Lone

Applications and Applied Mathematics: An International Journal (AAM)

In this article, we present RGB image encryption and decryption using random matrix affine cipher (RMAC) associated with discrete Hartley transform (DHT) and random matrix shift cipher (RMSC). The parameters in RMAC and RMSC phases act as two series of secret keys whose arrangement is imperative in the proposed algorithm. The computer simulations with results and examples are given to analyze the efficiency of the proposed approach. Further, security analysis and comparison with the prior techniques successfully supports the robustness and validation of the proposed technique.

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Explicit Formulas For Solutions Of Maxwell’S Equations In Conducting Media, Valery Yakhno Dec 2020

Explicit Formulas For Solutions Of Maxwell’S Equations In Conducting Media, Valery Yakhno

Applications and Applied Mathematics: An International Journal (AAM)

A new explicit presentation of the fundamental solution of the time-dependent Maxwell’s equations in conducting isotropic media is derived by Hadamard techniques through the fundamental solution of the telegraph operator. This presentation is used to obtain explicit formulas for generalized solutions of the initial value problem for Maxwell’s equations. A new explicit Kirchhoff’s formula for the classical solution of the initial value problem for the Maxwell equations in conducting media is derived. The obtained explicit formulas can be used in the boundary integral method, Green’s functions method and for computation of electric and magnetic fields in conducting media and materials.

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Approximate Solutions For The Nonlinear Systems Of Algebraic Equations Using The Power Series Method, M. M. Khader, M. Adel Dec 2020

Approximate Solutions For The Nonlinear Systems Of Algebraic Equations Using The Power Series Method, M. M. Khader, M. Adel

Applications and Applied Mathematics: An International Journal (AAM)

In this paper, the approximate solutions for systems of nonlinear algebraic equations by the power series method (PSM) are presented. Illustrative examples have been presented to demonstrate the efficiency of the proposed method. In addition, the obtained results are compared with those obtained from the standard Adomian decomposition method. It turns out that the convergence of the proposed algorithm is rapid.

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On Higher-Order Duality In Nondifferentiable Minimax Fractional Programming, S. Al-Homidan, Vivek Singh, I. Ahmad Dec 2020

On Higher-Order Duality In Nondifferentiable Minimax Fractional Programming, S. Al-Homidan, Vivek Singh, I. Ahmad

Applications and Applied Mathematics: An International Journal (AAM)

In this paper, we consider a nondifferentiable minimax fractional programming problem with continuously differentiable functions and formulated two types of higher-order dual models for such optimization problem.Weak, strong and strict converse duality theorems are derived under higherorder generalized invexity.

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On An Ecological Model Of Mutualisim Between Two Species With A Mortal Predator, Srinivasarao Thota Dec 2020

On An Ecological Model Of Mutualisim Between Two Species With A Mortal Predator, Srinivasarao Thota

Applications and Applied Mathematics: An International Journal (AAM)

In this paper, we study an ecological model of a three-space food chain consists of two logically growing mutual species and third species acts as a predator to second mutual species with Holling type II functional response. This model is constituted by a system of nonlinear decoupled ordinary differential equations. By using perturbed method, we identify the nature of the system at each equilibrium point and also global stability is investigated for this model using Lypanov function at the possible equilibrium points.

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Generalized Smarandache Curves Of Spacelike And Equiform Spacelike Curves Via Timelike Second Binormal In 𝕽𝟏 𝟒, Emad Solouma Dec 2020

Generalized Smarandache Curves Of Spacelike And Equiform Spacelike Curves Via Timelike Second Binormal In 𝕽𝟏 𝟒, Emad Solouma

Applications and Applied Mathematics: An International Journal (AAM)

In this paper, we investigate spacelike Smarandache curves recording to the Frenet and the equiform Frenet frame of spacelike base curve with timelike second binormal vector in fourdimensional Minkowski space. Also, we compute the formulas of Frenet and equiform Frenet apparatus recording to the base curve. Furthermore, we give the geometric properties to these curves when is general helix.

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Raman Spectroscopic Investigation Of The Speciation Of Uranyl (Vi) And Thorium (Iv) Ions In Chloride-Bearing Aqueous Solutions Under Hydrothermal Conditions, Nadib Akram Dec 2020

Raman Spectroscopic Investigation Of The Speciation Of Uranyl (Vi) And Thorium (Iv) Ions In Chloride-Bearing Aqueous Solutions Under Hydrothermal Conditions, Nadib Akram

Graduate Theses/Dissertations

Raman spectra were acquired for a uranyl chloride aqueous solution at temperatures ranging from 25°C to 500°C at the chloride concentration of 6M and uranium (vi) concentration of 0.05M. The measurements were taken by sealing the sample in a hydrothermal diamond anvil cell (HDAC) which enabled spectra acquisition at non-ambient conditions. The pressure inside the cell was measured by estimating the liquid-vapor homogenization temperature (TH) and using the isochoric equation of state diagram of water. The acquired spectra were then fitted to determine the speciation distribution of the various uranyl chloride species for the mentioned concentration. The developed …

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Fish And Macroinvertebrate Response To Restoration And Conservation Efforts, Madison C. Cogar Dec 2020

Fish And Macroinvertebrate Response To Restoration And Conservation Efforts, Madison C. Cogar

Graduate Theses/Dissertations

Fish and macroinvertebrate response to restoration and conservation efforts varies in regards to the size and structure of the system (e.g. headwater streams in WV versus large rivers such as the Mississippi River). This project reviews fish and macroinvertebrate rebound in treated acid mine drainage (AMD) streams in WV as well as macroinvertebrate drift patterns in the Mississippi and Missouri Rivers. AMD is a product of a chemical reaction resulting in an acidic water outflow from mining sites, which may harm aquatic life. As a response, passive AMD treatment systems have been installed. I tested the effectiveness of remediation by …

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Predictors Of Student Success In An Upper Division Agriculture Chemistry Class, Maddison V. May Dec 2020

Predictors Of Student Success In An Upper Division Agriculture Chemistry Class, Maddison V. May

Graduate Theses/Dissertations

To attempt to find what made students successful within a higher division class at Missouri State University’s (MSU) Darr College of Agriculture, de-identified academic records of 172 students enrolled in AGR 300 - Food and Agriculture Chemistry were studied over four semesters. Deidentified data were collected and compared to final letter grade received at the end of the class using correlation coefficients, analysis of variance, and stepwise regression. Analysis of variance was used to evaluate the influence of semester on letter grade. Correlation coefficients were used to determine and evaluate relationships between the variables and final grade. Stepwise regression was …

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The Legacy Of Contamination By Lead Smelters In Missouri, Robert S. Armstrong Dec 2020

The Legacy Of Contamination By Lead Smelters In Missouri, Robert S. Armstrong

Graduate Theses/Dissertations

Missouri has a rich history of lead mining. In the smelting process lead particles are emitted, which may be toxic to plants and animals. This study focuses on two primary lead smelters, Herculaneum and Glover, in Missouri. Smelting operations have ceased at these two sites, and unlike Herculaneum, Glover has no reported lead concentrations. Findings from air and sediments of these two sites were compared to background conditions and to each other. Thirty-three samples were collected from Herculaneum and Glover (thirty samples and three replicates) and eleven samples (ten samples and one replicate) for background. For Herculaneum sediment, lead levels …

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Story Writing In The Accounting Classroom, Michelle Freeman, Mark Friedman Dec 2020

Story Writing In The Accounting Classroom, Michelle Freeman, Mark Friedman

ETSU Faculty Works

A story is an established method of communicating fact, fiction, parable, and myth from cultural generation to generation. Is it possible to actively engage accounting students with content when the student becomes the storywriter? Can story writing by the student be an effective teaching tool, and should accounting professors consider its use in their classrooms? This archival research seeks to review the literature regarding the value of story writing as a pedagogical tool across academic disciplines in higher education, synthesize the findings of existing research and describe the uses, benefits and difficulties with using story writing in various accountancy classes …

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Numerical Analysis Of Polymer Composites For Actuation, Shivashankar Hiremath, Vidyashree Sangappa, Sangamesh Rajole, Satyabodh Kulkarni Dec 2020

Numerical Analysis Of Polymer Composites For Actuation, Shivashankar Hiremath, Vidyashree Sangappa, Sangamesh Rajole, Satyabodh Kulkarni

Open Access archive

The design of a polymer composite actuator is essential for micro and nano applications. Thus, the composite material may deform or deflects as specific stimuli are applied, such as heat, electrical, light source, etc. The deformation of the composite material is caused by the type of stimulus applied. Hence, while it is heated, the expansion takes place quickly, and the heating is shut down, the material shrinks very slowly. In the present investigation, this phenomenon is mainly studied in the actuation of composite beams. Numerical analysis of carbon black filled polymer composite beam expansion, and contraction is being analyzed in …

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Magnetoelectric Coupling In Bismuth Ferrite—Challenges And Perspectives, N. V. Srihari, K. B. Vinayakumar, K. K. Nagaraja Dec 2020

Magnetoelectric Coupling In Bismuth Ferrite—Challenges And Perspectives, N. V. Srihari, K. B. Vinayakumar, K. K. Nagaraja

Open Access archive

Multiferroic materials belong to the sub-group of ferroics possessing two or more ferroic orders in the same phase. Aizu first coined the term multiferroics in 1969. Of late, several multiferroic materials’ unique and robust characteristics have shown great potential for various applications. Notably, the coexisting magnetic and electrical ordering results in the Magnetoelectric effect (ME), wherein the electrical polarization can be manipulated by magnetic fields and magnetization by electric fields. Currently, more significant interests lie in significantly enhancing the ME coupling facilitating the realization of Spintronic devices, which makes use of the transport phenomenon of spin-polarized electrons. On the other …

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Graduate Internship Report- Corcoran High School, Viktoria Granicy Dec 2020

Graduate Internship Report- Corcoran High School, Viktoria Granicy

Agricultural Education: Graduate Internship Reports

This internship and project report includes validation documents required in meeting the quality criteria for secondary-level programs of instruction in agriculture. The supporting material includes information to receive state and local funding, outline the goals and objectives of the program, along with an overview of Corcoran High School, the agriculture program, and the community.

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Middle School Leaders' Perceptions Of Self-Efficacy In An Urban School District Along The Texas-Mexico Border, Rachel R. Ayala Dec 2020

Middle School Leaders' Perceptions Of Self-Efficacy In An Urban School District Along The Texas-Mexico Border, Rachel R. Ayala

Theses and Dissertations

The purpose of the case study was to comprehend the relationship between the accountability movement as characterized by the Texas A-F Accountability System and ESSA on a middle school principal’s sense of self-efficacy in an urban school district located at the southeastern-most point of the Rio Grande Valley along the Texas-Mexico border. The case study employed an explanatory sequential mixed methods research design and allowed for the collection and analysis of quantitative and qualitative data in two consecutive phases within one study to investigate the research questions in depth. The quantitative portion of this mixed methods case study relied on …

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The Dmap-Catalyzed Acylation Of Alcohol -- A Mechanistic Study, Tania Veronica Alvarez Castro Dec 2020

The Dmap-Catalyzed Acylation Of Alcohol -- A Mechanistic Study, Tania Veronica Alvarez Castro

Theses and Dissertations

The mechanistic studies of Acylation of Alcohols catalyzed by 4-(N,N- Dimethyl-amino)-pyridine (DMAP) has been heavily studied in the literature. This reaction has attracted considerable interest from the synthetic and mechanistic points of view in recent years. In this research, the acylation of alcohols is prepared from cyclohexanol and acetic anhydride that is catalyzed by DMAP using triethyl amine (NEt3) as the auxiliary base and dichloromethane (DCM) as solvent. The reaction and final product will be analyzed by using gas chromatography (GC) and reaction progress kinetic analysis (RPKA). The mechanistic insights obtained in the present study should be useful for understanding …

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