Ali Hasan Ali
@uobasrah.edu.iq
Department of Mathematics
University of Basrah
RESEARCH, TEACHING, or OTHER INTERESTS
Mathematics, Applied Mathematics, Analysis, Computational Mathematics
Scopus Publications
Scholar Citations
Scholar h-index
Scholar i10-index
Scopus Publications
Ali Raza, Ovidiu V. Stadoleanu, Ahmed M. Abed, Ali Hasan Ali, and Mohammed Sallah
Elsevier BV
Ali Hasan Ali and Zsolt Páles
Elsevier BV
Siddiq Ur Rehman, Rashid Nawaz, Faisal Zia, Nicholas Fewster-Young, and Ali Hasan Ali
Elsevier BV
Noori Y. Abdul-Hassan, Zainab J. Kadum, and Ali Hasan Ali
MDPI AG
In this paper, we propose a new numerical scheme based on a variation of the standard formulation of the Runge–Kutta method using Taylor series expansion for solving initial value problems (IVPs) in ordinary differential equations. Analytically, the accuracy, consistency, and absolute stability of the new method are discussed. It is established that the new method is consistent and stable and has third-order convergence. Numerically, we present two models involving applications from physics and engineering to illustrate the efficiency and accuracy of our new method and compare it with further pertinent techniques carried out in the same order.
Fareeha Sami Khan, M. Khalid, Ali Hasan Ali, Omar Bazighifan, and F. Ghanim
Elsevier BV
Muhammad Amir, Qasim Ali, Ali Raza, M.Y. Almusawa, Waleed Hamali, and Ali Hasan Ali
Elsevier BV
Ali Hasan Ali, Hend Muslim Jasim, Zaid Ameen Abduljabbar, Vincent Omollo Nyangaresi, Samir M. Umran, Junchao Ma, and Dhafer G. Honi
IEEE
This work proposes an efficient a nd effective technique for determining the size of neoplasms in the brain using image processing. The cerebral hemispheres make up the largest part of the human brain, and abnormal growth of cells within them can lead to the development of neoplasms, or brain tumors. Many tumors are believed to occur for unknown reasons, which highlights the importance of annual check-ups to detect any early signs of a tumor. Image processing is a crucial component of these annual check-ups, as it can identify any changes that may have occurred in the brain since the previous check-up. This work proposes a new method that can segment the tumor through the skull and estimate its size using MRI images. The proposed method involves three steps: first, extracting t he b rain from the skull; second, applying thresholding to identify abnormal cells and segment the neoplasm; and finally, estimating t he size of the neoplasm in a fast manner. To validate the results, a comparison with other techniques such as K-means and C-means is performed. Overall, this proposed method provides a promising approach to detecting and measuring neoplasms in the brain, which could ultimately improve the diagnosis and treatment of these potentially life-threatening conditions.
Toufik Mzili, Ilyass Mzili, Mohammed Essaid Riffi, Mohamed Kurdi, Ali Hasan Ali, Dragan Pamucar, and Laith Abualigah
Elsevier BV
Ali Hassan Ali, Ahmed Farouk Kineber, Ahmed Elyamany, Ahmed Hussein Ibrahim, and Ahmed Osama Daoud
Informa UK Limited
Fazal Dayan, Nauman Ahmed, Ali Hasan Ali, Muhammad Rafiq, and Ali Raza
Springer Science and Business Media LLC
AbstractSalmonella Typhi, a bacteria, is responsible for typhoid fever, a potentially dangerous infection. Typhoid fever affects a large number of people each year, estimated to be between 11 and 20 million, resulting in a high mortality rate of 128,000 to 161,000 deaths. This research investigates a robust numerical analytic strategy for typhoid fever that takes infection protection into consideration and incorporates fuzzy parameters. The use of fuzzy parameters acknowledges the variation in parameter values among individuals in the population, which leads to uncertainties. Because of their diverse histories, different age groups within this community may exhibit distinct customs, habits, and levels of resistance. Fuzzy theory appears as the most appropriate instrument for dealing with these uncertainty. With this in mind, a model of typhoid fever featuring fuzzy parameters is thoroughly examined. Two numerical techniques are developed within a fuzzy framework to address this model. We employ the non-standard finite difference (NSFD) scheme, which ensures the preservation of essential properties like dynamic consistency and positivity. Additionally, we conduct numerical simulations to illustrate the practical applicability of the developed technique. In contrast to many classical methods commonly found in the literature, the proposed approach exhibits unconditional convergence, solidifying its status as a dependable tool for investigating the dynamics of typhoid disease.
Ibrar Khan, Rashid Nawaz, Ali Hasan Ali, Ali Akgul, and Showkat Ahmad Lone
Elsevier BV
Imtiaz Ahmad, Asmidar Abu Bakar, Ihteram Ali, Sirajul Haq, Salman Yussof, and Ali Hasan Ali
Elsevier BV
Mustafa Inc, Muhammad S. Iqbal, Muhammad Z. Baber, Muhammad Qasim, Zafar Iqbal, Muhammad Akhtar Tarar, and Ali Hasan Ali
Elsevier BV
Fawaz K. Alalhareth, Usama Atta, Ali Hasan Ali, Aqeel Ahmad, and Mohammed H. Alharbi
Elsevier BV
Rashid Nawaz, Aaqib Iqbal, Hina Bakhtiar, Wissal Audah Alhilfi, Nicholas Fewster-Young, Ali Hasan Ali, and Ana Danca Poțclean
MDPI AG
In this article, we investigate the utilization of Riemann–Liouville’s fractional integral and the Caputo derivative in the application of the Optimal Auxiliary Function Method (OAFM). The extended OAFM is employed to analyze fractional non-linear coupled ITO systems and non-linear KDV systems, which feature equations of a fractional order in time. We compare the results obtained for the ITO system with those derived from the Homotopy Perturbation Method (HPM) and the New Iterative Method (NIM), and for the KDV system with the Laplace Adomian Decomposition Method (LADM). OAFM demonstrates remarkable convergence with a single iteration, rendering it highly effective. In contrast to other existing analytical approaches, OAFM emerges as a dependable and efficient methodology, delivering high-precision solutions for intricate problems while saving both computational resources and time. Our results indicate superior accuracy with OAFM in comparison to HPM, NIM, and LADM. Additionally, we enhance the accuracy of OAFM through the introduction of supplementary auxiliary functions.
Rashid Ashraf, Rashid Nawaz, Osama Alabdali, Nicholas Fewster-Young, Ali Hasan Ali, Firas Ghanim, and Alina Alb Lupaş
MDPI AG
This study uses the optimal auxiliary function method to approximate solutions for fractional-order non-linear partial differential equations, utilizing Riemann–Liouville’s fractional integral and the Caputo derivative. This approach eliminates the need for assumptions about parameter magnitudes, offering a significant advantage. We validate our approach using the time-fractional Cahn–Hilliard, fractional Burgers–Poisson, and Benjamin–Bona–Mahony–Burger equations. Comparative testing shows that our method outperforms new iterative, homotopy perturbation, homotopy analysis, and residual power series methods. These examples highlight our method’s effectiveness in obtaining precise solutions for non-linear fractional differential equations, showcasing its superiority in accuracy and consistency. We underscore its potential for revealing elusive exact solutions by demonstrating success across various examples. Our methodology advances fractional differential equation research and equips practitioners with a tool for solving non-linear equations. A key feature is its ability to avoid parameter assumptions, enhancing its applicability to a broader range of problems and expanding the scope of problems addressable using fractional calculus techniques.
Talib EH. Elaikh, Nada M. Abd, and Ali Hasan Ali
Elsevier BV
Ali Raza, Rifaqat Ali, Sayed M. Eldin, Suleman H. Alfalqui, and Ali Hasan Ali
Elsevier BV
F. Ghanim, Belal Batiha, Ali Hasan Ali, and M. Darus
Walter de Gruyter GmbH
Abstract Geometric function theory (GFT) is one of the richest research disciplines in complex analysis. This discipline also deals with the extended differential inequality theory, known as the differential subordination theory. Based on these theories, this study focuses on analyzing intriguing aspects of the geometric subclass of meromorphic functions in terms of a linear complex operator and a special class of Hurwitz-Lerch-Zeta functions. Hence, several of its geometric attributes are deduced. Furthermore, the paper highlights the different fascinating advantages and applications of various new geometric subclasses in relation to the subordination and inclusion theorems.
Huda J. Saeed, Ali Hasan Ali, Rayene Menzer, Ana Danca Poțclean, and Himani Arora
MDPI AG
This research aims to propose a new family of one-parameter multi-step iterative methods that combine the homotopy perturbation method with a quadrature formula for solving nonlinear equations. The proposed methods are based on a higher-order convergence scheme that allows for faster and more efficient convergence compared to existing methods. It aims also to demonstrate that the efficiency index of the proposed iterative methods can reach up to 43≈1.587 and 84≈1.681, respectively, indicating a high degree of accuracy and efficiency in solving nonlinear equations. To evaluate the effectiveness of the suggested methods, several numerical examples including their performance are provided and compared with existing methods.
Kehong Zheng, Ali Raza, Ahmed M. Abed, Hina Khursheed, Laila F. Seddek, Ali Hasan Ali, and Absar Ul Haq
Elsevier BV
Ali Raza, Ahmed M. Abed, M.Y. Almusawa, Laila F. Seddek, and Ali Hasan Ali
Elsevier BV
Khalil S. Al-Ghafri, Awad T. Alabdala, Saleh S. Redhwan, Omar Bazighifan, Ali Hasan Ali, and Loredana Florentina Iambor
MDPI AG
Fractional calculus, which deals with the concept of fractional derivatives and integrals, has become an important area of research, due to its ability to capture memory effects and non-local behavior in the modeling of real-world phenomena. In this work, we study a new class of fractional Volterra–Fredholm integro-differential equations, involving the Caputo–Katugampola fractional derivative. By applying the Krasnoselskii and Banach fixed-point theorems, we prove the existence and uniqueness of solutions to this problem. The modified Adomian decomposition method is used, to solve the resulting fractional differential equations. This technique rapidly provides convergent successive approximations of the exact solution to the given problem; therefore, we investigate the convergence of approximate solutions, using the modified Adomian decomposition method. Finally, we provide an example, to demonstrate our results. Our findings contribute to the current understanding of fractional integro-differential equations and their solutions, and have the potential to inform future research in this area.
Alanoud Almutairi, Ali Hasan Ali, Omar Bazighifan, and Loredana Florentina Iambor
MDPI AG
This paper presents a study on the oscillatory behavior of solutions to fourth-order advanced differential equations involving p-Laplacian-like operator. We obtain oscillation criteria using techniques from first and second-order delay differential equations. The results of this work contribute to a deeper understanding of fourth-order differential equations and their connections to various branches of mathematics and practical sciences. The findings emphasize the importance of continued research in this area.