This book collects select papers presented at the 7th International Arab Conference on Mathematics and Computations (IACMC 2022), held from 11–13 May 2022, at Zarqa University, Zarqa, Jordan. These papers discuss a new direction for mathematical sciences. Researchers, professionals and educators will be exposed to research results contributed by worldwide scholars in fundamental and advanced interdisciplinary mathematical research such as differential equations, dynamical systems, matrix analysis, numerical methods and mathematical modelling. The vision of this book is to establish prototypes in completed, current and future mathematical and applied sciences research from advanced and developing countries. The book is intended to make an intellectual contribution to the theory and practice of mathematics. This proceedings would connect scientists in this part of the world to the international level.
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A. S. Salama and R. Abu Gdair: Generalized Neighborhood Systems Approach for Information Retrieval Systems.- Emad A. Kuffi, E. S. Abbas and S. F. Maktoof: Applying “Emad–Sara” Transform on Partial Differential Equations.- A. Al-Swaftah, A. Burqan and M. Khandaqji: Estimations of the Bounds for the Zeros of Polynomials Using Matrices.- B. Ghazal, R. Saadeh and G. Gharib: Applications on Formable Transform in Solving Integral Equations.- O. Tug: On the Eigenvalue of a Norlund Type Matrix as an Operator on the Sequence Spaces L1 and bv.- N. Tahat, Obaida M. Al-hazaimeh and S. Shatnawi: A New Authentication Scheme Based on Chaotic Maps and Factoring Problems.- R. B. Albadarneh, A. M. Adawi, Sa’ud Al-Sa’di, I. M. Batiha and S. Momani: A pro rata Definition of the Fractional-order Derivative.- S. Ibrahim, M. Muhammed Al-Kassab and M. Qasim Al-Awjar: Investigating Multicollinearity in Factors Affecting Number of Born Children in Iraq.- T. Alkharabsheh, K. shebrawi and M. Abu-s Saleem: Hilbert–Schmidt Numerical Radius Inequalities For Certain 2 x 2 Operator Matrices.- Y. A. Sabawi, Mardan A. Pirdawood, Hemn M. Rasool and S. Ibrahim: Model Reduction and Implicit–Explicit Runge–Kutta Schemes for Nonlinear Stiff Initial-value Problems.- G. M. Gharib, Maha S. Alsauodi, A. Guiatni, Mohammad A. Al-Omari and A. Al-Rahman M. Malkawi: Using Atomic Solution Method to Solve the Fractional Equations.- S. Ramadan: Analysis in the Algebra A(E).- S. rasem, A. Dababneh and Ma’mon Abu Hammad: Applications of Conformable Fractional Weibull Distribution.- O. Ramadan: Stable Second-order Explicit Runge–Kutta Finite Difference Time Domain Formulations for Modeling Graphene Nano-material Structures.- Ali Shehab, Ahmed M. R. El-Baz and A. M. Elmarhomy: Hydrodynamic Analysis and CFD Modeling of PAWEC Interacted with Regular Waves Using CFX.- M. Muhammed Al-Kassab and S. Ibrahim: Using Ridge Regression to Estimate Factors Affecting the Number of Births: A Comparative Study.- T. Hamadneh, J.Merker and G. Schuldt: Discrete Maximum Principle and Positivity Certificates for the Bernstein Dual Petrov–Galerkin Method.- A. Burqan, A. Sarhan and R. Saadez: Analytical Solutions of the Fractional Riccati Differential Equations Using Laplace Residual Power Series Method.- D. Andrica and O. Bagdasa: On the Dynamic Geometry of Kasner Triangles with Complex Parameter.- D. Amr and Ma’mon Abu Hammad: Application of Conformable Fractional Nakagami Distribution.- Rawya Al-deiakeh, Maha S. Alsauodi, S. Momani, Gharib M. Gharib and T. B. Salameh: Application of Laplace Residual Series Method for Solving Time-fractional Fisher Equation.- M. Hassen Eid Abu-Sei’leek: Self-consistent Single-particle Spectra with Delta Excitations.- I. M. Batiha, N. Djenina, A. Ouannas and T. E. Oussaeif: Fractional-order SEIR Covid-19 Model: Discretization and Stability Analysis.- A. Alsoboh and M. Darus: A q-Starlike Class of Harmonic Meromorphic Functions Defined by q-Derivative Operator.- J. Oudetallah, Z.Chebana, Taki-Eddine Oussaeif, A. Ouannas and I. M. Batiha: Theoretical Study of Explosion Phenomena for a Semi-parabolic Problem.- L. Szala: Explicit Formulae of Linear Recurrences.- R. Abu Sallik, J. Al Jaraden: The Influence of S-quasinormal Subgroups on the Structure of Finite Groups.- S. J. Ansari and V. R. Lakshmi Gorty: Two-sided Clifford Wavelet Function in Cl(p, q).- L. Nemeth and L. Szalay: Generalizations of the Fibonacci Sequence with Zig-zag Walks.- D. Wafula Waswa and M. Muhammed Al-Kassab: Mathematics Learning Challenges and Difficulties: A Students’ Perspective.- V.R. Ibrahimov, G.Yu. Mehdiyeva, Xiao-Guang Yue and M.N. Imanova: Finding Solution to the Initial Value Problem for ODEs First and Second Order by One and the Same Method.- Doaa Al-Saan: On Symmetric Matrices with One Positive Eigenvalue and the Interval Property of Some Matrix Classes.- N. Anakira, A. Hioual, A. Ouannas, Taki-Eddine Oussaeif and Iqbal M. Batiha: Global Asymptotic Stability for Discrete-time SEI Reaction-diffusion Model.- G. Eid, I. Jebril, Ma’mon Abu Hammad and D. Abu Judeh: Atomic Solution of Euler Equation.- Worood A. AL-hakim, Maha S. Alsauodi, Gharib M. Gharib, Fatima Alqasem and May Abu Jalbosh: Solving Nonlinear Fractional Coupled Burgers Equation by Sub-equation Method.- S. M. Alshorm: Groups in which the Commutator Subgroup is Cyclic.- M. A. Amleh: On Point Prediction of New Lifetimes under a Simple Step-stress Model for Censored Lomax Data.- Tareq M. Al-shami and Radwan Abu-Gdairi: Infra Soft B-open Sets and Their Applications on Infra Soft Topological Spaces.- Raed M. Khalil: An Algorithm of the Prey and Predator Struggle to Survive as a Random Walk Simulation Case Study.- W. Beghami, B. Maayah and S. Bushnaq: Numerical Study of a Nonlinear Fractional Mathematical Model of the Tumor Cells Chemotherapy Effect.- O. Ababneh and K. Al-Boureeny: New Modification Methods for Finding Zeros of Nonlinear Function.- Ioan-Lucian Popa, T. Ceausu, L. Elena Biris and A. Zada: On Tempered Exponential Trisplitting for Random Semi-Dynamical Systems.- H. El-Metwally, F. M. Masood, R. Abu-Gdairi and Tareq M. Al-shami: On q-Laplace Transforms.- N. R. Anakira, G.F. Bani-Hani and O. Ababneh: An Effective Procedure for Solving Linear and Non-linear Volterra Integro-differential Equations.- S. Alkhalely, A. Burqan and M. Muhammed Al-Kassab: New Estimations for Zeros of Polynomials Using Numerical Radius and Similarity of Matrices.- J. Jawdat: Strong Coproximinal Subspaces in Köthe Function Spaces.- E. Savas: A New Paranormed Sequence Spaces and Invariant Means.
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DIA ZEIDAN is Associate Professor of Applied and Computational Mathematics at the German Jordanian University, Amman, Jordan, and Elected Fellow of the European Society of Computational Methods in Sciences and Engineering. An active researcher in developing mathematical and numerical tools of multiphase fluid flow problems for several years, he is recognized for research contributions in applied and computational mathematics with multiphase flows including his creative approaches to teaching and research. His work has been highly interdisciplinary, involving international collaborations with applied and computational researchers. Among various institutional obligations, he has been visitor of several important international research groups bridging with national research infrastructure gaps in Jordan. He serves on several expert review panels, as Technical Editor and Reviewer for several peer-reviewed journals and as Member of several program committees of technical conferences aroundthe world.
JUAN CARLOS CORTÉS LÓPEZ is Professor at the Department of Applied Mathematics of the Universitat Politècnica de València (UPV), Spain. Since 2009, he is the Deputy Director of the University Institute of Multidisciplinary Mathematics of the UPV (more than 50 researchers), developing his research in the MUNQU group, modeling and uncertainty quantification. His research focusses on the extension of the classical theory of differential equations—ordinary differential equations (ODEs), partial differential equations (PDEs), equations with delay, fractional ODEs etc.—to the random scenario under the so-called random differential equations (RDEs) approach including mathematical modelling with uncertainty quantification. He has co-authored more than 200 papers and chapters published on international journals and books. He serves as Associate Editor and Guest Editor in more than 10 international journals. He has served as a member of the scientific and organizing committees of more than 30 international conferences around the world, being plenary speaker in several of them. He has been the advisor of more than 10 Ph D dissertations. He has been the Principal Investigator of several research competitive projects on RDEs and applications.
ALIAA BURQAN is Associate Professor and Dean of the Faculty of Science at Zarqa University, Jordan. She holds a Ph D in mathematics from the University of Jordan, Amman, Jordan. Her areas of research interests are functional analysis, matrix analysis, operator theory and fractional calculus. She has several research papers published in reputed international journals and conferences. She was an active member in the organizing committee of all mathematical conferences held at Zarqa University from 2006 up to now and a chairman of the last one, IACMC 2022. She is also serving as scientific and advisory board member of some educational bodies. During the last few years, she has supervised several master students and some of them are continuing their Ph D study abroad.
AHMAD QAZZA is Associate Professor of Applied Mathematics at Zarqa University and Vice Dean of the Faculty of Science at Zarqa University, Jordan, since 2017. He received his B.Sc. and Ph D degrees in differential equations from Kazan State University, Russia, in 1996 and 2000 respectively. He has published several research papers in prestigious international journals and conferences. His research interests include boundary value problems for partial differential equations in mathematical physics, boundary integral equation methods, boundary value problems for analytic complex functions, fractional differential equations and numerical methods.
JOCHEN MERKER is Professor of Analysis and Optimization at Leipzig University of Applied Sciences (HTWK Leipzig), Germany, since 2015. He received his Ph D in mathematics from the University of Hamburg, Germany, in 2005. Afterwards, he worked as Postdoc in Applied Analysis at the University of Rostock, Germany, received his Habilitation in 2012 and became Professor at the Applied University of Stralsund, in 2013, before he became Full Professor at HTWK Leipzig. His research focuses on partial differential equations and functional analysis, on machine learning and the mathematics of digital twins, and on (contact) Hamiltonian systems on manifolds. Regarding this topic, in 2018, he received an honourable mention in the international Ian Snook Prize 2017 for his contribution in the field.
GHARIB GHARIB is Professor of Applied Mathematics at Zarqa University, Jordan. He received his Ph D in mathematics from Belarusian State University, Minsk, Belarus, in 1991. Earlier, he held several positions at Zarqa University: Dean of Scientific Research from 2017–2020; Vice Dean of the Science Faculty; Chairman of the Department of Mathematics. He also has been Vice Editor-in-Chief of Zarqa Journal for Research and Studies in Humanities, Vice Editor-in-Chief of the International Quality Assurance Journal. He supervised more than 60 theses and have more than 50 publications.