Ahmad Mohammad Qazza

EDUCATION

• Ph.D, Year 2000, Faculty of Mechanics and Mathematics, Department of Differential Equation, Kazan State University, Russia.
1) Degree Specialization: Differential equations.
2) Title of Ph.D. Thesis: Reduction of Dirichlet problem and its generalization for elliptical equations to the boundary problems for holomorphic function.
3) Thesis advisor: Professor Chibrikova L.I.
• M.Sc, Year 1996, Faculty of Mechanics and Mathematics, Department of Differential Equation, Kazan State University, Russia.
1) Degree Specialization: Differential equations.
2) Title of M.Sc., Thesis: The application of integral transformation by Mellin’s Nucleus in Bessel’s theory.
3) Thesis advisor: Professor Chibrikova L.I.

RESEARCH, TEACHING, or OTHER INTERESTS

Applied Mathematics, Mathematical Physics, Modeling and Simulation, Computational Mathematics

Scopus Publications

Controllability Of Intuitionistic Fuzzy Impulsive Neutral Integro-Differential Equations With Nonlocal Conditions
T. Gunasekar, J. Thiravidarani, Rania Saadeh, Ahmad Qazza, Junaid Ahmad, and Ghassan Abufoudeh
SCIK Publishing Corporation
This paper explores the controllability of nonlocal intuitionistic fuzzy integro-differential equations using intuitionistic fuzzy semigroups and the contraction mapping principle. By establishing a clear theoretical approach, we show that it is possible to achieve controllability under specific conditions. This study offers new methods and significant insights into the analysis of fuzzy systems. The results demonstrate that, given the right conditions, controlling systems with nonlocal features is feasible, addressing important challenges in this area.


Advancing Solutions for Fractional Differential Equations: Integrating the Sawi Transform with Iterative Methods
Rania Saadeh, Alaa Al-Wadi, and Ahmad Qazza
New York Business Global LLC
This paper presents a powerful approach to solving fractional differential equations by combining the Sawi transform with iterative methods, particularly the Sawi iterative method. We begin by reviewing the fundamental properties and theoretical aspects of the Sawi transform, demonstrating its effectiveness in simplifying and solving fractional differential equations. The integration of the Sawi transform with the iterative method is applied to solve fractional delay differential equations, showcasing both analytical and approximate solutions through detailed examples and case studies. Our findings highlight that this combined approach not only streamlines the solution process but also significantly enhances the accuracy and applicability of solutions across a diverse range of differential equations. This study lays a robust foundation for further research and practical applications, offering valuable insights and tools for advancing scientific and engineering fields.


Solving System of ODEs and Analyzing Chemical Reactions




Computational Solutions for Fractional Atangana-Baleanu PDEs: An Exploration of Sawi Transform and Homotopy Perturbation Method




A Novel Fractional Model Combined with Numerical Simulation to Examine the Impact of Lockdown on COVID-19 Spread
M. Barakat, Rania Saadeh, Abd-Allah Hyder, Ahmad Mohammad Qazza and Abdelraheem M. Aly

One of the best procedures for preventing the spread of the coronavirus is a lockdown, if it is implemented correctly. In order to assess how well lockdowns prevent the virus’s propagation, this paper presents a fractional-order mathematical model constructed by the proportional-Caputo operator. This model consists of five nonlinear fractional-order differential equations. The solution’s existence and uniqueness are investigated using the Schauder and Banach fixed-point theorems. Also, this study produces a stability analysis utilizing Ulam–Hyers and modified Ulam–Hyers criteria. Furthermore, the Adams–Bashforth–Moulton approach is used to implement numerical simulations that show how the model behaves with different parameter combinations and to validate the theoretical results.


Predicting the thermal distribution in a convective wavy fin using a novel training physics-informed neural network method
K. Chandan, Rania Saadeh, Ahmad Qazza, K. Karthik, R. S. Varun Kumar, R. Naveen Kumar, Umair Khan, Atef Masmoudi, M. Modather M. Abdou, Walter Ojok,et al.
Springer Science and Business Media LLC
AbstractFins are widely used in many industrial applications, including heat exchangers. They benefit from a relatively economical design cost, are lightweight, and are quite miniature. Thus, this study investigates the influence of a wavy fin structure subjected to convective effects with internal heat generation. The thermal distribution, considered a steady condition in one dimension, is described by a unique implementation of a physics-informed neural network (PINN) as part of machine-learning intelligent strategies for analyzing heat transfer in a convective wavy fin. This novel research explores the use of PINNs to examine the effect of the nonlinearity of temperature equation and boundary conditions by altering the hyperparameters of the architecture. The non-linear ordinary differential equation (ODE) involved with heat transfer is reduced into a dimensionless form utilizing the non-dimensional variables to simplify the problem. Furthermore, Runge–Kutta Fehlberg’s fourth–fifth order (RKF-45) approach is implemented to evaluate the simplified equations numerically. To predict the wavy fin's heat transfer properties, an advanced neural network model is created without using a traditional data-driven approach, the ability to solve ODEs explicitly by incorporating a mean squared error-based loss function. The obtained results divulge that an increase in the thermal conductivity variable upsurges the thermal distribution. In contrast, a decrease in temperature profile is caused due to the augmentation in the convective-conductive variable values.


Stochastic modeling of influenza transmission: Insights into disease dynamics and epidemic management
Mawada Ali, Fathelrhman EL Guma, Ahmad Qazza, Rania Saadeh, Nahaa E. Alsubaie, Mohammed Althubyani, and Mohamed A. Abdoon
Elsevier BV



Investigating the Effectiveness of the Laplace Residual Power Series Approach for Volterra Integro-Differential Equation




Innovative Approaches to Linear Volterra Partial Integro-Differential Equations: A Laplace Residual Power Series Perspective




Optimized technique and dynamical behaviors of fractional Lax and Caudrey–Dodd–Gibbon models modelized by the Caputo fractional derivative
Tareq Eriqat, Moa’ath N. Oqielat, Rania Saadeh, Ahmad El-Ajou, Ahmad Qazza, and Mohammed Abu Saleem
Elsevier BV



Modeling COVID-19 spread and non-pharmaceutical interventions in South Africa: A stochastic approach
Mawada Ali, Salem Mubarak Alzahrani, Rania Saadeh, Mohamed A. Abdoon, Ahmad Qazza, Naseam Al-kuleab, and Fathelrhman EL Guma
Elsevier BV



Analyzing the Impact of Control Strategies on Visceral Leishmaniasis: A Mathematical Modeling Perspective
Fathelrhman EL Gumaa, Mohamed A. Abdoon, Ahmad Qazza, Rania Saadeh, Mohammed Ali Arishi, and Abdoelnaser M. Degoot
New York Business Global LLC
Visceral Leishmaniasis remains a significant public health challenge in eastern Sudan despite extensive control efforts. This study employs MCMC Bayesian inference techniques to fit a mathematical model for studying visceral Leishmaniasis transmission dynamics with interventions. The research focuses on evaluation of control programs to adapt to the dynamic nature of visceralLeishmaniasis transmission. We analyze 22 years of cumulative visceral Leishmaniasis cases from eastern Sudan, an endemic region for visceral Leishmaniasis, and assessed the effectiveness of interventions implemented thus far. The results reveal that visceral Leishmaniasis is prevalent, with reported cases representing less than 20% of community infections. Improved surveillance and diagnostics are necessary for accurately estimating the disease burden. The effectiveness of intervention strategies for vector control for reducing VL transmission in the region is found to be limited. Furthermore, the model predicts visceral Leishmaniasis cases will continue to increase in the near future, underscoring the need adaptable initiatives to reduce the disease burden.


Mathematical modeling and stability analysis of the novel fractional model in the Caputo derivative operator: A case study
Rania Saadeh, Mohamed A. Abdoon, Ahmad Qazza, Mohammed Berir, Fathelrhman EL Guma, Naseam Al-kuleab, and Abdoelnaser M Degoot
Elsevier BV



Effective methods for numerical analysis of the simplest chaotic circuit model with Atangana–Baleanu Caputo fractional derivative
Abdulrahman B. M. Alzahrani, Rania Saadeh, Mohamed A. Abdoon, Mohamed Elbadri, Mohammed Berir, and Ahmad Qazza
Springer Science and Business Media LLC



Controlling DC Motor Speed with FoPID-Controllers
Rania Saadeh, Iqbal M. Batiha, Ahmad Qazza, Iqbal H. Jebri, Ali Elrashidi, and Shaher Momani
IEEE
This work aims to propose several designs for controlling the direct-current motor (or simply DC motor) speed. Such motor is broadly used in numerous applications like blowers, lathe machines, cranes, elevators, milling machines, fans, drilling rigs, etc. To achieve our aim, the DC motor model will be first fractionalized and then the so-called Particle Swarm Optimization (PSO) algorithm will be executed to adjust the proposed controllers’ parameters. This actually would be performed to the resultant fractional-order transfer function. Accordingly, several Fractional-order PID controllers (FoPID-controllers) will be formulated in agreement with the Outstaloup approach, which is typically used to approximate the yielded Laplacian operators s±α, where 0 < α < 1. The controllers generated in accordance with different values of fractional-order values will be then competed to each other to outline which of them has an ability to provide to the closed-loop system of the DC motor speed model a minimal overshoot, short settling time and short rise time.


Analyzing Chaotic Jerk System with Hyperbolic Sine: A new algorithm for Engineering Applications
Raed M. Khalil, Rania Saadeh, Mohamed A. Abdoon, Mohammed Berir, Ahmad Qazza, and Ali Elrashidi
IEEE
this paper examines numerical solutions and applications of an innovative Chaotic Jerk System utilizing the Caputo-Fabrizio fractional derivative (CF-FD). Chaotic systems display complex and unpredictable behaviors, which are recognized as significant in secure communication, data encryption, and random number generation. Employing both the Caputo-Fabrizio fractional derivative and the theory of fractional calculus allows this study to present complex behaviors in compliance with memory effects and long-range interdependence. The computational approach has been introduced in the work and used to solve this chaotic system, which will eventually help us explore the dynamic behavior of such systems. At the same time, it scrutinizes a system's chaos, although closely recreating its action with. Initial conditions and parameters by executing numerical analysis, for example. Moreover, the paper gives an illustrative example for using this chaotic system in secure communication, data encryption, and random number generation. This article develops the phase form of a four-dimensional chaotic system using fractional calculus techniques and, hence, manipulates its chaos. The study provides a bridge between theory and application, an important function that allows for modern innovations in a wide spectrum of areas. We quantified the behavior of this system through numerical simulations and analytical exams, addressing methodologically different conditions thereon. These goals feed into a deeper knowledge of emergent complex chaotic dynamics as well as how the system might be implemented in applications such as secure communication and data encryption. Fractional calculus and chaotic systems have numerous and ever-expanding applications in engineering, helping to improve signal processing, modeling, communication, control, encryption, and our general knowledge of complicated dynamic systems.


Mittag-Leffler Functions and the Sawi Transform: A New Approach to Fractional Calculus
Alaa Al-Wadi, Rania Saadeh, Ahmad Qazza, and Iqbal M. Batiha
World Scientific and Engineering Academy and Society (WSEAS)
This study uses the Sawi transform and Mittag-Leffler function to introduce a novel method of fractional calculus. The basic characteristics of the Sawi transform and its connection to other transforms such as the Laplace transform are explored. We demonstrate the application of the Sawi transform in deriving novel solutions to fractional differential equations and elucidate the importance of the Mittag-Leffler function in these scenarios. We show the efficiency of the presented method by presenting some nonhomogeneous equations and initial value problems. This study proves the efficacy of the Sawi transform by handling some problems in the sense of Caputo fractional calculus.


Solving Partial Integro Differential Equations Via Double Laplace-Formable Transform
Rania Saadeh, Laith Hamdi, and Ahmad Qazza
Springer Nature Singapore



A Comparative Numerical Study of a Classical Model and Fractional Model for Leishmaniasis
Mohamed A. Abdoon, Mohammed Berir, Ahmad Qazza, Rania Saadeh, and Fathelrhman E. L. Guma
Springer Nature Singapore



Preface




General Transform Decomposition Method
Rania Saadeh, Bayan Ghazal, and Ahmad Qazza
Springer Nature Singapore



Efficient Construction Technique for Resolving Dirichlet Boundary-Value Problems in Multiply Connected Domains for Real Elliptic Equations
Ahmad Qazza
Springer Nature Singapore



Synchronization in fractional discrete neural networks: constant and variable orders cases
Raed Hatamleh, Amel Hioual, Ahmad Qazza, Rania Saadeh, and Adel Ouannas
Informa UK Limited



Computational analysis of water-based silver, copper, and alumina hybrid nanoparticles over a stretchable sheet embedded in a porous medium with thermophoretic particle deposition effects
Kalachar Karthik, Rania Saadeh, Ravikumar Shashikala Varun Kumar, Ahmad Qazza, Javali Kotresh Madhukesh, Umair Khan, Anuar Ishak, and Md Irfanul Haque Siddiqui
Walter de Gruyter GmbH
Abstract The present study scrutinizes the significance of heat source/sink (HSS), thermophoretic particle deposition, and porous media on the time-dependent ternary nanofluid stream across a stretchable surface in the presence of Newtonian heating (NH) and common wall temperature (CWT) cases. The governing equations of the investigated model are changed into ordinary differential equations by using suitable similarity transformations. The resultant dimensionless equations are solved using the Laguerre polynomial collocation method. For comparison, the Runge Kutta Fehlberg’s fourth-fifth order (RKF-45) method is employed. Graphs are used to illustrate the significant parameters’ impacts on each profile, and relevant physical quantities such as the Sherwood number, skin friction, and Nusselt number are exhibited. The study reveals that the velocity profile drops with an increase in permeable parameters. The thermal profile increases with improvement in porous and HSS constraints. The concentration diminishes as the value of the thermophoretic parameter rises. For better solid volume fraction values, the rate of temperature dispersal is lower in the NH case associated with the CWT case. Additionally, the rate of thermal distribution is enhanced by approximately 2.90% surface drag force, 4.73% in the CWT case and 2.27% in the NH case, and the rate of mass transfer is enhanced by 2.99% when transitioning from ternary the ternary hybrid nanofluid to the (normal) nanofluid. The results of the study will help in heat exchangers, thermal management, chemical engineering, biomedical instruments, and design and optimization of electronic equipment.


Stability exploration in fractional h-difference equations with incommensurate orders
Raed Hatamleh, Noureddine Djenina, Rania Saadeh, Ahmad Qazza, and Adel Ouannas
Informa UK Limited

RECENT SCHOLAR PUBLICATIONS

Water Absorption and Mechanical Behavior of Hybrid Reinforced Epoxy LY556 Composites: Experimental Analysis
R Saadeh, N Talbi, S Znaidia, A Qazza, G Abufoudeh, M Kezzar, ...
Journal of Natural Fibers 22 (1), 2471372 2025



Dynamics of the Gierer-Meinhardt reaction-diffusion system: Insights into finite-time stability and control strategies
A Qazza, I Bendib, R Hatamleh, R Saadeh, A Ouannas
Partial Differential Equations in Applied Mathematics, 101142 2025



Finite time Stability and Synchronization of the Glycolysis Reaction-Diffusion model
R Hatamleh, I Bendib, A Qazza, R Saadeh, A Ouannas, M Dalah
International Journal of Neutrosophic Science 25 (4), 371-386 2025



Controllability of Intuitionistic Fuzzy Impulsive Neutral Integro-Differential Equations with Nonlocal Conditions
T Gunasekar, J Thiravidarani, R Saadeh, A Qazza, J Ahmad, ...
International Journal of Analysis and Applications 23, 47 2025



Controlling DC Motor Speed with FoPID-Controllers
R Saadeh, IM Batiha, A Qazza, IH Jebri, A Elrashidi, S Momani
2024 25th International Arab Conference on Information Technology (ACIT), 1-7 2025



Analyzing Chaotic Jerk System with Hyperbolic Sine: a new algorithm for Engineering Applications
RM Khalil, R Saadeh, MA Abdoon, M Berir, A Qazza, A Elrashidi
2024 25th International Arab Conference on Information Technology (ACIT), 1-6 2025



Computational Solutions for Fractional Atangana- Baleanu PDEs: An Exploration of Sawi Transform and Homotopy Perturbation Method
R Saadeh, AK Sedeeg, A Qazza
Progress in Fractional Differentiation and Applications 11 (1), 1-17 2025



Advancing Solutions for Fractional Differential Equations: Integrating the Sawi Transform with Iterative Methods
R Saadeh, A Al-Wadi, A Qazza
European Journal of Pure and Applied Mathematics 18 (1), 5583 2025



Solving System of ODEs and Analyzing Chemical Reactions
R Saadeh, R Khalil, R Baqaien, A Qazza
Engineering Letters 33 (1), 38-47 2025



A Novel FractionalModel Combined with Numerical Simulation to Examine the Impact of Lockdown on COVID-19 Spread
MA Barakat, R Saadeh, AA Hyder, A Qazza, AM Aly
Fractal and Fractional 8 (12), 702 2024



Mittag-Leffler Functions and the Sawi Transform: A New Approach to Fractional Calculus
A Al-Wadi, R Saadeh, A Qazza, IM Batiha
WSEAS Transactions on Mathematics 23, 827-835 2024



Leveraging artificial neural networks approach for thermal conductivity evaluation in porous rectangular wetted fins filled with ternary hybrid nanofluid
T T N, M S, HS Migdadi, R Saadeh, A Qazza, U Khan, SM Hussain, ...
Journal of Radiation Research and Applied Sciences 17 (4), 101125 2024



Exploring the dynamic behavior of the two-phase model in radiative non-Newtonian nanofluid flow with Hall current and ion slip effects
M Akram, O Ala’yed, R Saadeh, A Qazza, AM Obalalu, U Khan, A Darvesh, ...
Journal of Radiation Research and Applied Sciences 17 (4), 101112 2024



Neural network algorithms of a curved riga sensor in a ternary hybrid nanofluid with chemical reaction and Arrhenius kinetics
GK Ramesh, R Saadeh, JK Madhukesh, A Qazza, U Khan, A Zaib, ...
Journal of Radiation Research and Applied Sciences 17 (4), 101078 2024



A Comparative Numerical Study of a Classical Model and Fractional Model for Leishmaniasis
MA Abdoon, M Berir, A Qazza, R Saadeh, F EL Guma
In: Burqan, A., et al. Mathematical Analysis and Numerical Methods. IACMC 2024



Solving Partial Integro Differential Equations Via Double Laplace-Formable Transform
R Saadeh, L Hamdi, A Qazza
In: Burqan, A., et al. Mathematical Analysis and Numerical Methods. IACMC 2024



General Transform Decomposition Method
R Saadeh, B Ghazal, A Qazza
In: Burqan, A., et al. Mathematical Analysis and Numerical Methods. IACMC 2024



Efficient Construction Technique for Resolving Dirichlet Boundary-Value Problems in Multiply Connected Domains for Real Elliptic Equations
A Qazza
In: Burqan, A., et al. Mathematical Analysis and Numerical Methods. IACMC 2024



Synchronization in fractional discrete neural networks: constant and variable orders cases
R Hatamleh, A Hioual, A Qazza, R Saadeh, A Ouannas
Arab Journal of Basic and Applied Sciences 31 (1), 527-535 2024



Mathematical Analysis and Numerical Methods. IACMC 2023. Springer Proceedings in Mathematics & Statistics
A Burqan, R Saadeh, A Qazza, OY Ababneh, JC Corts, K Diethelm, ...
Springer, Singapore 466, 1-594 2024

MOST CITED SCHOLAR PUBLICATIONS

A new integral transform: ARA transform and its properties and applications
R Saadeh, A Qazza, A Burqan
Symmetry 12 (6), 925 2020
Citations: 109



Exact Solutions of Nonlinear Partial Differential Equations via the New Double Integral Transform Combined with Iterative Method
S Ahmed A, A Qazza, R Saadeh
Axioms 11 (6), 247 2022
Citations: 56



ARA-residual power series method for solving partial fractional differential equations
A Burqan, R Saadeh, A Qazza, S Momani
Alexandria Engineering Journal 62, 47-62 2023
Citations: 48



Applications on Double ARA–Sumudu Transform in Solving Fractional Partial Differential Equations
A Qazza, A Burqan, R Saadeh, R Khalil
Symmetry 14 (9), 1817 2022
Citations: 47



On the Double ARA-Sumudu Transform and Its Applications
R Saadeh, A Qazza, A Burqan
Mathematics 10 (15), 2581 2022
Citations: 45



Predicting the thermal distribution in a convective wavy fin using a novel training physics-informed neural network method
K Chandan, R Saadeh, A Qazza, K Karthik, RS Varun Kumar, RN Kumar, ...
Scientific Reports 14 (1), 7045 2024
Citations: 44



A New Approach Using Integral Transform to Solve Cancer Models
R Saadeh, A Qazza, K Amawi
Fractal and Fractional 6 (9), 490 2022
Citations: 42



A novel numerical approach in solving fractional neutral pantograph equations via the ARA integral transform
A Burqan, R Saadeh, A Qazza
Symmetry 14 (1), 50 2021
Citations: 42



A new attractive method in solving families of fractional differential equations by a new transform
A Qazza, A Burqan, R Saadeh
Mathematics 9 (23), 3039 2021
Citations: 38



Application of ARA-Residual Power Series Method in Solving Systems of Fractional Differential Equations
A Qazza, A Burqan, R Saadeh
Mathematical Problems in Engineering 2022, 17 2022
Citations: 37



A New Scheme for Solving a Fractional Differential Equation and a Chaotic System
A Qazza, M Abdoon, R Saadeh, M Berir
European Journal of Pure and Applied Mathematics 16 (2), 1128–1139 2023
Citations: 36



Solving fractional partial differential equations via a new scheme
A Qazza, R Saadeh, E Salah
AIMS Mathematics 8 (3), 5318-5337 2022
Citations: 36



Effective methods for numerical analysis of the simplest chaotic circuit model with atangana–baleanu caputo fractional derivative
ABM Alzahrani, R Saadeh, MA Abdoon, M Elbadri, M Berir, A Qazza
Journal of Engineering Mathematics 144 (1), 9 2024
Citations: 34



A Numerical Solution of Generalized Caputo Fractional Initial Value Problems
R Saadeh, MA Abdoon, A Qazza, M Berir
Fractal and Fractional 7 (4), 332 2023
Citations: 34



On the Analytical Solution of Fractional SIR Epidemic Model
A Qazza, R Saadeh
Applied Computational Intelligence and Soft Computing 2023 2023
Citations: 34



General Master Theorems of Integrals with Applications
M Abu-Ghuwaleh, R Saadeh, A Qazza
Mathematics 10 (19), 3547 2022
Citations: 34



Direct power series approach for solving nonlinear initial value problems
E Salah, R Saadeh, A Qazza, R Hatamleh
Axioms 12 (2), 111 2023
Citations: 32



A Fundamental Criteria to Establish General Formulas of Integrals
R Saadeh, M Abu-Ghuwaleh, A Qazza, E Kuffi
Journal of Applied Mathematics 2022, 16 2022
Citations: 32



About the Solution Stability of Volterra Integral Equation with Random Kernel
A Qazza, R Hatamleh, N Alodat
Far East Journal of Mathematical Sciences 100 (5), 671 2016
Citations: 32



Analytical solution of coupled hirota–satsuma and KdV equations
R Saadeh, O Ala’yed, A Qazza
Fractal and Fractional 6 (12), 694 2022
Citations: 31