Abstracts

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A Constructive Solution to the Ornstein-Uhlenbech Equation on a Separable Banach Space of Infinite Dimension

Timothy I. Myers, Howard University

A Debt Management Problem with Bankruptcy Risk and Currency Devaluation

Steven J. Gilmore, North Carolina State University
Rossana Capuani, North Carolina State University
Khai T. Nguyen, North Carolina State University

A New Predictive Analytical Model for Software Vulnerability Discovery Process.

Netra Khanal, The University of Tampa, Tampa, FL

A note on the Resolvent Estimates of the damped wave equation via Observability Estimate

Satbir Malhi
Milena stanislavova, The university of Kansas

A Statistical Learning Model Utilized to Validate a Market Hypothesis

Tim Smith, Embry-Riddle Aeronautical University

A Uniformly Sharp Convexity Result for Discrete Fractional Sequential Differences

Rajendra Dahal, Coastal Carolina University
Christopher Goodrich, The University of New South Wales

An Efficient and Accurate High-Order Method in Application to Space-Fractional Reaction-Diffusion Systems with Nonhomogeneous Boundary Conditions

Harish Bhatt, Savannah State University

An Isospectral Flow on Banded Matrices and Its Optimality

Krishna P. Pokharel, Young Harris College

Backward Bifurcation in Vector-Borne Model with Direct Transmission

Sunil Giri, Florida Atlantic University
Necibe Tuncer, Florida Atlantic University

Branching Patterns, Dessins and Rational Functions

Vijay Kunwar, Albany State University
Mark van Hoeij, Florida State University

Characterizations of String Stability for Systems with Delays

Hasala Senpathy K. Gallolu Kankanamalage, Roger Williams University

Classical Bernoulli Type Free Boundary Problems

Ashok Aryal Dr., Assistant Professor, Minnesota State University Moorhead

Convection in Coupled Fluid-Porous Media Systems

Matthew McCurdy, Florida State University

Convergence of a Particle Method and Global Weak Solutions for a Family of Evolutionary PDEs

Alina Chertock, North Carolina State University

Convergence of the Method of Finite Differences in Optimal Control for Second Order Elliptic PDEs

Saleheh Seif, Florida Institute of Technology - Melbourne
Ugur Abdulla, Florida Institute of Technology

Dissipative Periodic and Chaotic Patterns to the Kdv--Burgers and Gardner Equations

Stefan C. Mancas, Embry-Riddle Aeronautical University
Ronald Adams, Embry-Riddle Aeronautical University

Distributed Delay Effects on Coupled van der Pol Oscillators, and a Chaotic van der Pol-Rayleigh System with Parametric Forcing

S. Roy Choudhury, University of Central Florida
Ryan Roopnarain, University of Central Florida

Effects of Time-Varying Impulses on Exponential Stability of Inertial BAM Neural Network with Mixed Time-Varying Delays

Rakesh Kumar, Indian Institute of Technology (Banaras Hindu University), Varanasi

Eigenfunctions of Quadratic Pencil Operators

Amin Boumenir, University of West Georgia

Evolutionary Stability of Ideal Free Dispersal under Spatial Heterogeneity and Time Periodicity

Robert Stephen Cantrell, University of Miami

Existence of Solutions for a Second Order Discrete Boundary Value Problem with Mixed Periodic Boundary Conditions

Min Wang, Kennesaw State University

Existence of Solutions to Boundary Value Problems on Infinite Intervals

Benjamin Freedman, North Carolina State University
Jesus Rodriguez, North Carolina State University

Existence of the Solution in the Large for Caputo Fractional Reaction Diffusion Equation by Picard's Method

Pradeep Godar Chhetri

Existence Results for Nonlinear Perturbations of Asymmetric Spectrum with Weights

Nsoki Mavinga, Swarthmore College
Quinn Morris, Appalachian State University
Stephen Robinson, Wake Forest University

Factorization of Fractional Quantum Oscillators

Haret C. Rosu, Potosi Institute of Scientific and Technological Research, San Luis Potosi, Mexico
Stefan C. Mancas, Embry-Riddle Aeronautical University - Daytona Beach

Fast Split-Radix and Radix-4 Discrete Cosine Transform Algorithms

Sirani K. M. Perera, Embry-Riddle Aeronautical University - Daytona Beach
Daniel Silverio, Embry-Riddle Aeronautical University
Austin Ogle, Embry-Riddle Aeronautical University

Fluid-Structure Interactions: Control and Optimization

Lorena Bociu, North Carolina State University

Fluid-Viscoelastic Structure Interaction

Rasika L. Mahawattege, University of Memphis
Roberto Triggiani, University of Memphis

Generalized Monotone Iterative Techniques for Caputo Fractional IVP with an Application to Biological Models

Diego Ramirez, Savannah State University

Generalized Monotone Method for Nonlinear Caputo Fractional Impulsive Differential Equations

Yunxiang Bai, University of Louisiana at Lafayette
University of Louisiana at Lafayette

Hardware Accelerated Fast FDTD of Time Dependent Maxwell’s Equations on Xilinx RF SoC

Nilan Udayanga, Florida International University
Hasantha Malavipathirana, Florida International University
S I. Hariharan, University of Akron
Nathaniel Hawk, Ocius Technologies
Dale Mugler, Ocius Technologies
Shubhendu Bhardwaj, Florida International University
Arjuna Madanayake, Florida International University

How Small Can the Gap Be between Eigenvalues of the Schrödinger Equation?

Evans M. Harrell II, Georgia Institute of Technology

Hybrid Chebyshev Polynomial Scheme for Solving Elliptic Partial Differential Equations

Balaram Khatri Ghimire, Alabama State University

Implicit Finite Difference Method for Pricing of Derivatives

Karthikeya SK Mamillapalle, Daytona State College

Instantaneous Blowup, Old and New Results

Goldstein Jerry, University of Memphis

Introducing Challenging Modeling Problems Early with Chebfun Add-Ons for MATLAB

David B. Williams, Clayton State University

Invariant Manifolds in the Hamiltonian-Hopf Bifurcation

Ken Meyer, University of Cincinnati

Inverse Source Problems for Wave Propagation

Nora Entekhabi, Florida A&M University

Investigating the Impact of Supercritical Fluid Properties on the Turbulence Physics of the Round Turbulent Jet

Julia Ream, Florida State University
Marc T. Henry de Frahan, National Renewable Energy Laboratory
Michael J. Martin, National Renewable Energy Laboratory
Shashank Yellapantula, National Renewable Energy Laboratory
Ray Grout, National Renewable Energy Laboratory

Lyapunov-Type Inequality and Eigen Value Estimate for a Fractional Problem with Hilfer Derivative

Nimisha Pathak

Mathematical Model for Rabies Transmission and Control in Nepal

Buddhi Pantha, Abraham Baldwin Agricultural College, Tifton GA

Mean Field Games with State Constraints

Rossana Capuani
Piermarco Cannarsa, University of Roma "Tor Vergata"
Pierre Cardaliaguet, Universite Paris-Dauphine (Paris IX)

Metric Entropy for Hyperbolic Conservation Laws

Tien Khai Nguyen, North Carolina State University

Modeling the Dependence of Atmospheric Pressure with Altitude using Caputo and Caputo-Fabrizio Fractional Derivatives

Muath Awadalla, King Faisal University
Yves Yameni Yannick, Eastern Mediterranean University - Cyprus
Kinda Jamal Abuassba, Girne American University - Cyprus

Modeling Zika

Maia Martcheva, University of Florida
N. Tuncer
B. LaBarre
S. Payoute

Non-uniform mesh high-order discretization for the generalized Burgers Equations

Madhav Wagley

Numerical Methods for Variable Order Differential Equations

Harihar Khanal, Embry Riddle Aeronautical University - Daytona Beach

Numerical Solutions of 2D Boussinesq Equations with Fractional Dissipation

Ramjee P. Sharma, University of North Georgia

On Nonminimizing Solutions of Elliptic Free Boundary Problems

Kanishka Perera, Florida Institute of Technology
David Jerison, Massachusetts Institute of Technology

On the Principal Eigenvalue of a Biharmonic System

Lingju Kong, University of Tennessee at Chattanooga

On the Uniqueness of Topological Degrees for Densely Defined Operators of Type {$(S_+)$}

Dhruba Adhikari

Optimal Control of Coefficients in Parabolic Free Boundary Problems Modeling Laser Ablation

Ugur Abdulla, Florida Institute of Technology
Jonathan Goldfarb, Florida Institute of Technology
Ali Hagverdiyev, Florida Institute of Technology

Optimization of the Penalty Parameter for the Dual-Wind Discontinuous Galerkin Methods on a Prototypical Second Order Pde.

Aaron Rapp, University of North Carolina at Greensboro
Yi Zhang, University of North Carolina at Greensboro
Tom Lewis, University of North Carolina at Greensboro

Painlevé VI, Isomonodromy, and Fredholm Determinants

Nathan Hayford, University of South Florida

Penalization of Dirichlet Optimal Control Problem for Magneto-Hydrodynamics

Sivaguru S. Ravindran

Polynomial Simulation of Functional Differential Equations with Delayed Argument

Vin M. Isaia, Indiana State University

Positive Solutions for a Derivative Dependent p-Laplacian Equation with Riemann-Stieltjes Integral Boundary Conditions

Jaffar Ali Shahul-Hameed, Florida Gulf Coast University

Quasilinearization Method for RL Fractional Systems

Zachary Denton

Quenching Problem for Two Dimensional Time Fractional Reaction-Diffusion Equation Via Lower Solution Method

Subhash Subedi, Coastal Carolina University
Aghalaya S. Vatsala, University of Louisiana at Lafayette

Random Attractor for Stochastic Hindmarsh-Rose Equations with Multiplicative Noise

Chi Phan, University of South Florida

Recent Advancements in Mathematical Finance

Gisèle Ruiz Goldstein, University of Memphis

Reduced Fertility and Asymptotics of the Logistic Model

Laurentiu Sega, Augusta University
Daniel Maxin, Valparaiso University
Fabio Milner, Arizona State University

Role of Regulatory T Cells on a Tumor-Immune System with Immunotherapy

Peng Feng, Florida Gulf Coast University

Search for Cycles of Long Length in Discrete Dynamical Systems

Alexander M. Stokolos, Georgia Southern University
Emil Iacob, Georgia Southern University
Dmitriy Dmitrishin, Odessa State Polytechnic University

Sensitivity of a Coupled Wind /Wave Model Using Energy Transfer Schemes for Growing Waves

Frederique Drullion, Embry Riddle Aeronautical University
Shar Sajjadi, ERAU

Singular Reaction Diffusion Equations Where a Parameter Influences the Reaction Term and the Boundary Condition (I)

Nalin Fonseka, UNCG

Singular Reaction Diffusion Equations Where a Parameter Influences the Reaction Term and the Boundary Condition (II)

Amila Muthunayake, University of North Carolina at Greensboro

SIS and SIR Epidemic Models on Time Scales

Gulsah Yeni, Missouri University of Science and Technology
Elvan Akin, Missouri University of Science and Technology

Solutions for a Class of Fractional Laplacian Problems

Elliott Hollifield, University of North Carolina at Greensboro

Solutions of GSQQ Front Problems

John K. Hunter, UC Davis
Jingyang Shu, UC Davis
Qingtian Zhang*, UC Davis

Some Bifurcation Results for Fractional Laplacian Problems

Maya Chhetri, University of North Carolina at Greensboro

Special-Functions Solutions of Burgers' Equation

Emma Previato, Boston University

Spectral Asymptotics of Laplacians Defined by Fractal Measures and Some Applications

Sze-Man Ngai, Georgia Southern University and Hunan Normal University

Steklov Approximations of Solutions of Laplacian Boundary Value Problems

Manki Cho, University of Houston - Clear Lake

Sufficient Conditions for Stability and Asymptotic Convergence of a PEEC Model Stable Linear Autonomous Neutral Functional Differential Equation with Nonlinear Perturbations

Howard M. Allison, Florida Institute of Technology - Melbourne

Symmetries of the Canonical Geodesic Equations of Five-Dimensional Nilpotent Lie Algebras

Hassan Almusawa, Virginia Commonwealth University
Ryad Ghanam, Virginia Commonwealth University in Qatar
Gerard Thompson, University of Toledo

Tenth Order Compact Finite Difference Schemes for One Dimensional Helmholtz Equations Using Neumann Boundary Condition

Friday Ighaghai Oyakhire Dr., Akanu Ibiam Federal Polytechnic

The Collapse of a Spherical Bubble in a Water Tank in Connection with Einstein's Field Equations

Stefan C. Mancas, Embry-Riddle Aeronautical University - Daytona Beach
Haret C. Rosu, IPICyT

The Ideal 2D MHD Equations

Nicki Boardman, Oklahoma State University - Main Campus

The Impact of Time Delay in a Tumor Model

Xinyue Evelyn Zhao, University of Notre Dame
Bei Hu, University of Notre Dame

The Stochastic Permanence of Disease and the Stationary Behavior for a Class of Nonlinear SEIRS Epidemic Models

Divine Wanduku, Georgia Southern University

The Study of Numerical Method for Heat Transfer in Living Tissue Insulated by Protective Clothing

Kabita Luitel, Bhaktapur Multiple Campus, Tribhuvan University, Nepal

The Time Periodic Solution of the Burgers Equation on the Half-Line and an Application to Steady Streaming

Shahrdad G. Sajjadi, sajja8b5
shar g. sajjadi, erau

Traveling Waves in Discrete Models of Biological Populations with Sessile Stages

Ahlam Harish Alzahrani, Ahlam Harish Alzahrani

Two Regularization Models for Computed Tomography Image Reconstruction from Limited Projection Data

Jiehua Zhu, Georgia Southern University
Xiezhang Li, Georgia Southern University

Uniqueness of positive radial solutions for a class of infinite semipositone p-Laplacian problems in a ball

Ratnasingham Shivaji, University of North Carolina at Greensboro

Vanishing Relaxation Time Dynamics of the Jordan Moore-Gibson-Thompson (JMGT) Equation Arising in High Frequency Ultrasound

Sutthirut Charoenphon, University of Memphis

Wavelet Regularization for Ill-Posed Problems

Vani Cheruvu

Well-Posedness Results on Non-Linear Classical Field Theories in Physics

Marcelo Enrique Rubio, Universidad Nacional de Córdoba