Numerical Analysis, Applied Mathematics, Modeling and Simulation, Mathematical Physics
17
Scopus Publications
135
Scholar Citations
7
Scholar h-index
4
Scholar i10-index
Scopus Publications
Sumudu decomposition method with non-singular kernel operators for solving time fractional Whitham-Broer-Kaup equations Shams A. Ahmed, Mohammed G. S. Al-Safi, Rasool Shah, Anis Mohamed, Abdelgabar Adam Hassan, Adam Zakria, Ahmed Yahya Boundary Value Problems, 2026 This paper presents an analytical solution framework for the coupled fractional Whitham–Broer–Kaup (FWBK) equations using the Sumudu transform (ST) and decomposition method (DM), where the fractional derivatives of Atangana–Baleanu in Caputo sense (ABC) and Caputo–Fabrizio (CF) are utilized throughout the paper. The FWBK system describes nonlinear shallow water wave propagation and has conventionally been treated using classical fractional operators such as the Caputo or Atangana-Baleanu derivatives together with Laplace-type or natural integral transforms and iterative techniques. By reducing the solution process and with keeping of both initial and boundary conditions, ST is used as a powerful analytical tool. We show that our approach is accurate and convergence by proving exact and approximate solutions for FWBK equations. A detailed comparison with other methods confirms that the SDM framework is simple to implement and physically sound. This work helps for progressing the fractional modelling and to fill the gap of non-singular fractional calculus with integral transform methods, providing a new point of view in solving the complex nonlinear fractional PDEs. Both numerical and graphical results show that the present method is very accurate and simple in analysing and solving the fractionally linked nonlinear complex problems appearing in science and technology.
Approximate Solutions for the Differential Equations by Using the Nonconformable Fractional Sumudu Transform Shams A. Ahmed, Mohammed G. S. Al-Safi, Tarig M. Elzaki International Journal of Mathematics and Mathematical Sciences, 2025 This research introduces the nonconformable fractional Sumudu transform (NCFST) methodology. We used the above strategy to solve fractional differential equations (FDEs) via nonconformable fractional derivatives (NCFDs). We examined and demonstrated its fundamental qualities and benefits. We examined several cases and performed a comparison analysis, delivering precise data via graphs and tables. The findings indicated that the novel approach was practical, user‐friendly, and capable of accurately solving FDEs, including those with NCFDs.
Numerical Solution for Conformable Fractional PDEs by Using a New Double Conformable Integral Transform-Decomposition Method Mohammed G. S. Al-Safi Iraqi Journal of Science, 2024 The conformable Sumudu-Elzaki Transform Decomposition Method CSETDM is used in this research to handle the approximate numerical solutions for the regular and singular one-dimensional conformable Fractional Coupled Burger's Equation CFCBsE and the Nonlinear Singular Conformable Pseudohyperbolic equation NSCPE. This method is generalized in the sense of conformable derivatives. Essential results and theorems concerning this method are discussed. Some numerical examples are given to exhibit the proposed technique's viability, applicability, and effortlessness.
Behavioral drowsiness detection system execution based on digital camera and MTCNN deep learning Ali Hassan Majeed, Adnan Hussein Ali, Aqeel A. Al-Hilali, Mohanad Sameer Jabbar, Safiye Ghasemi, Mohammed G. S. Al-Safi Bulletin of Electrical Engineering and Informatics, 2023 Drowsy driving is a major cause of road accidents worldwide, necessitating the development of effective drowsiness detection systems. Each year, there are more accidents and fatalities than ever before for a variety of causes. For instance, there were 22,952 fatalities and 79,545 injuries as a result of nearly 66,500 vehicle accidents in the last 10 years. In this paper, we propose a novel approach for detecting drowsiness based on behavioral cues captured by a digital camera and utilizing the multi-task cascaded convolutional neural network (MTCNN) deep learning algorithm. A high-resolution camera records visual indications like closed or open eye movement to base the technique on the driver's behavior. In order to measure a car user's weariness in the present frame of reference, eyes landmarks are evaluated, which results in the identification of a fresh constraint known as "eyes aspect ratio." A picture with a frame rate of 60 frames per second (f/s) and a resolution of 4,320 eyeballs was used. The accuracy of sleepiness detection was more than 99.9% in excellent lighting and higher than 99.8% in poor lighting, according to testing data. The current study did better in terms of sleepiness detection accuracy than a lot of earlier investigations.
Numerical and Analytical Solutions of Space-Time Fractional Partial Differential Equations by Using a New Double Integral Transform Method Mohammed G. S. AL-Safi, Wurood R. Abd AL-Hussein, Rand Muhand Fawzi Iraqi Journal of Science, 2023 This work discusses the beginning of fractional calculus and how the Sumudu and Elzaki transforms are applied to fractional derivatives. This approach combines a double Sumudu-Elzaki transform strategy to discover analytic solutions to space-time fractional partial differential equations in Mittag-Leffler functions subject to initial and boundary conditions. Where this method gets closer and closer to the correct answer, and the technique's efficacy is demonstrated using numerical examples performed with Matlab R2015a.
Design and Simulation of an Affordable Vehicle Speed Detection System Hassaan Th. H. Thabet, Aqeel A. Al-Hilali, Mohammed G. S. Al-safi, Thabit H. Thabit, Firas M. Mahmood Proceedings Icmeralda 2023 International Conference on Modeling and E Information Research Artificial Learning and Digital Applications, 2023
Sumudu decomposition method with non-singular kernel operators for solving time fractional Whitham-Broer-Kaup equations SA Ahmed, MGS Al-Safi, R Shah, A Mohamed, AA Hassan, A Zakria, ... Boundary Value Problems , 2026 2026 Citations: 1
Analytical solution of partial differential equations by using a new double fuzzy integral transform MGS AL-Safi, MS Abbas, AA Yousif, SA Ahmed, JH Eidi AIP Conference Proceedings 3264 (1), 050094 , 2025 2025
Approximate Solutions for the Differential Equations by Using the Nonconformable Fractional Sumudu Transform SA Ahmed, MGS Al-Safi, TM Elzaki International Journal of Mathematics and Mathematical Sciences 2025 (1), 7789796 , 2025 2025 Citations: 2
Statistical Anomaly Detection for Enhanced Cybersecurity Using AI-Based Wireless Networks MQ Mohammed, MGS Al-Safi, AM Faris Ingenierie des Systemes d'Information 29 (5), 1743 , 2024 2024 Citations: 6
Design new image cryptosystem using hybrid block and stream ciphers AM Ali, FH Ali, SM Redha, MGS Al-Safi, FA Mohammed AIP Conference Proceedings 3207 (1), 050003 , 2024 2024
Numerical Solution for Conformable Fractional PDEs by Using a New Double Conformable Integral Transform-Decomposition Method MGS Al-Safi Iraqi Journal of Science, 4489-4512 , 2024 2024 Citations: 1
Numerical solutions for the time fractional black-scholes model governing european option by using double integral transform decomposition method MGS Al-Safi Results in Nonlinear Analysis 7 (2), 64–78-64–78 , 2024 2024 Citations: 1
A computational methods for solving partial differential equations and integral differential equations by using Sumudu-Elzaki transform MS Abbas, MGS Al-Safi, WRA AL-Hussein AIP Conference Proceedings 2834 (1), 080119 , 2023 2023 Citations: 3
Behavioral drowsiness detection system execution based on digital camera and MTCNN deep learning AH Majeed, AH Ali, AA Al-Hilali, MS Jabbar, S Ghasemi, MGS Al-Safi Bulletin of Electrical Engineering and Informatics 12 (6), 3717-3726 , 2023 2023 Citations: 4
Design and Simulation of an Affordable Vehicle Speed Detection System HTH Thabet, AA Al-Hilali, MGS Al-safi, TH Thabit, FM Mahmood 2023 International Conference on Modeling & E-Information Research … , 2023 2023 Citations: 3
Sentence reduction based on automatic document text summarization and crossbred framework MM Hashim, AA Al-Hilali, MGSA Safi, OR Salah, AA Nahi 2023 First International Conference on Advances in Electrical, Electronics … , 2023 2023 Citations: 7
Numerical and analytical solutions of space-time fractional partial differential equations by using a new double integral transform method MGS AL-Safi, WR Abd AL-Hussein, RM Fawzi Iraqi Journal of Science, 1935-1947 , 2023 2023 Citations: 8
Comparative Simulation Analysis of MPPT Techniques of PV System Based on Variuos Algorithms HS Hamad, AH Herez, AH Ali, AA Al-Hilali, MGS Al-Safi, MJ Mnati 2023 Second International Conference on Electrical, Electronics, Information … , 2023 2023
COMPUTATIONAL FLUID DYNAMICS TECHNIQUES FOR MODELLING DUST STORM TURBULENCE PATTERNS IN IRAQ MJ Ali, MA Saad, NR Nimah, H muhammad Hussein, ZHA Alqiraishi, ... Mathematics for Applications-Submission Portal 12 (2) , 2023 2023
Numerical solutions for the nonlinear PDEs of fractional order by using a new double integral transform with variational iteration method MGS AL-Safi, RM Fawzi, WRA AL-Hussein Baghdad Science Journal 20 (3), 33 , 2023 2023 Citations: 8
Numerical investigation for solving non-linear partial differential equation using Sumudu-Elzaki transform decomposition method MGS AL-Safi, AA Yousif, MS Abbas International Journal of Nonlinear Analysis and Applications 13 (1), 963-973 , 2022 2022 Citations: 14
Analyzing cryptosystems by using artificial intelligence FH Ali, MGS Al-Safi, AA Yousif Al-Nahrain Journal of Science, 100-108 , 2018 2018 Citations: 6
A new approximate solution for the Telegraph equation of space-fractional order derivative by using Sumudu method MGS AL-Safi, WR Abd AL-Hussein, AGN Al-Shammari Iraqi Journal of Science 59 (3A), 1301-1311 , 2018 2018 Citations: 15
Approximate solution for the two-dimensional Volterra-Integro differential equation of fractional order by using Generalized Deferential Transform method MGS AL-Safi, WR Abd AL-Hussein, MS Abbas MJPS 5 (2) , 2018 2018
MOST CITED SCHOLAR PUBLICATIONS
Numerical solution for the time-fractional diffusion-wave equations by using sinc-Legendre collocation method HM Osama, SF Fadhel, GSALS Mohammed Mathematical Theory and Modeling 5 (1), 49-57 , 2015 2015 Citations: 17
A new approximate solution for the Telegraph equation of space-fractional order derivative by using Sumudu method MGS AL-Safi, WR Abd AL-Hussein, AGN Al-Shammari Iraqi Journal of Science 59 (3A), 1301-1311 , 2018 2018 Citations: 15
Numerical investigation for solving non-linear partial differential equation using Sumudu-Elzaki transform decomposition method MGS AL-Safi, AA Yousif, MS Abbas International Journal of Nonlinear Analysis and Applications 13 (1), 963-973 , 2022 2022 Citations: 14
Numerical Solution for Telegraph Equation of Space Fractional Order using Legendre Wavelets Spectral tau Algorithm ALS Mohammed, SA GS, Farah LJ and Muna J. Basic Appl. Sci(, Aust) 10 (12), 383-391 , 2016 2016 Citations: 10
Numerical and analytical solutions of space-time fractional partial differential equations by using a new double integral transform method MGS AL-Safi, WR Abd AL-Hussein, RM Fawzi Iraqi Journal of Science, 1935-1947 , 2023 2023 Citations: 8
Numerical solutions for the nonlinear PDEs of fractional order by using a new double integral transform with variational iteration method MGS AL-Safi, RM Fawzi, WRA AL-Hussein Baghdad Science Journal 20 (3), 33 , 2023 2023 Citations: 8
Sentence reduction based on automatic document text summarization and crossbred framework MM Hashim, AA Al-Hilali, MGSA Safi, OR Salah, AA Nahi 2023 First International Conference on Advances in Electrical, Electronics … , 2023 2023 Citations: 7
Approximate Solution for advection dispersion equation of time Fractional order by using the Chebyshev wavelets-Galerkin Method MGS AL-Safi, LZ Hummady Iraqi Journal of Science, 1493-1502 , 2017 2017 Citations: 7
Shifted Jacobi Tau Method for Solving the Space Fractional Diffusion Equation OH Mohammed, SF Fadhel Shifted Jacobi Tau Method for Solving the Space Fractional Diffusion … , 2014 2014 Citations: 7
Statistical Anomaly Detection for Enhanced Cybersecurity Using AI-Based Wireless Networks MQ Mohammed, MGS Al-Safi, AM Faris Ingenierie des Systemes d'Information 29 (5), 1743 , 2024 2024 Citations: 6
Analyzing cryptosystems by using artificial intelligence FH Ali, MGS Al-Safi, AA Yousif Al-Nahrain Journal of Science, 100-108 , 2018 2018 Citations: 6
An efficient numerical method for solving Volterra-Fredholm integro-differential equations of fractional order by using shifted Jacobi-spectral collocation method MGS AL-Safi Baghdad Science Journal 15 (3), 16 , 2018 2018 Citations: 6
Sinc-Jacobi Collocation Algorithm For Solving The Time-Fractional Diffusion-Wave Equations OH Mohammed, FS Fadhel, MGS AL-Safi International Journal of Mathematics and Statistics Studies UK 3 (1), 28-37 , 2015 2015 Citations: 5
Behavioral drowsiness detection system execution based on digital camera and MTCNN deep learning AH Majeed, AH Ali, AA Al-Hilali, MS Jabbar, S Ghasemi, MGS Al-Safi Bulletin of Electrical Engineering and Informatics 12 (6), 3717-3726 , 2023 2023 Citations: 4
A computational methods for solving partial differential equations and integral differential equations by using Sumudu-Elzaki transform MS Abbas, MGS Al-Safi, WRA AL-Hussein AIP Conference Proceedings 2834 (1), 080119 , 2023 2023 Citations: 3
Design and Simulation of an Affordable Vehicle Speed Detection System HTH Thabet, AA Al-Hilali, MGS Al-safi, TH Thabit, FM Mahmood 2023 International Conference on Modeling & E-Information Research … , 2023 2023 Citations: 3
Numerical solution for fractional order space-time burger's equation using legendre wavelet-chebyshev wavelet spectral collocation method OH Mohammed, MGS AL-Safi, AA Yousif Al-Nahrain Journal of Science 21 (1), 121-127 , 2018 2018 Citations: 3
Approximate Solutions for the Differential Equations by Using the Nonconformable Fractional Sumudu Transform SA Ahmed, MGS Al-Safi, TM Elzaki International Journal of Mathematics and Mathematical Sciences 2025 (1), 7789796 , 2025 2025 Citations: 2
Sumudu decomposition method with non-singular kernel operators for solving time fractional Whitham-Broer-Kaup equations SA Ahmed, MGS Al-Safi, R Shah, A Mohamed, AA Hassan, A Zakria, ... Boundary Value Problems , 2026 2026 Citations: 1
Numerical Solution for Conformable Fractional PDEs by Using a New Double Conformable Integral Transform-Decomposition Method MGS Al-Safi Iraqi Journal of Science, 4489-4512 , 2024 2024 Citations: 1
