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Publication Metadata only Editorial Recent trends in reservoir computing(WORLD SCIENTIFIC PUBL CO PTE LTD, 2023) Ahmadian, Ali; Balas, Valentina E.; Salahshour, Soheil; Universita Mediterranea di Reggio Calabria; Bahcesehir UniversityPublication Metadata only Editorial Message: Fuzzy Machine Learning Algorithms with Applications Arising in Physical Problems(SPRINGER HEIDELBERG, 2022) Ahmadian, Ali; Azar, Ahmad Taher; Salahshour, Soheil; Su, Shun-Feng; Universita Mediterranea di Reggio Calabria; Prince Sultan University; Bahcesehir University; National Taiwan University of Science & TechnologyPublication Metadata only Special Issue on Fuzzy Machine Learning Algorithms with Applications Arising in Physical Problems(WORLD SCIENTIFIC PUBL CO PTE LTD, 2021) Ahmadian, Ali; Azar, Ahmad Taher; Salahshour, Soheil; Universita Mediterranea di Reggio Calabria; Prince Sultan University; Egyptian Knowledge Bank (EKB); Benha University; Bahcesehir UniversityPublication Metadata only A 6-point subdivision scheme and its applications for the solution of 2nd order nonlinear singularly perturbed boundary value problems(AMER INST MATHEMATICAL SCIENCES-AIMS, 2020) Mustafa, Ghulam; Baleanu, Dumitru; Ejaz, Syeda Tehmina; Anju, Kaweeta; Ahmadian, Ali; Salahshour, Soheil; Ferrara, Massimiliano; Islamia University of Bahawalpur; Cankaya University; Institute of Space Science; China Medical University Taiwan; China Medical University Hospital - Taiwan; Universiti Kebangsaan Malaysia; Bahcesehir University; Universita Mediterranea di Reggio Calabria; Universita Mediterranea di Reggio CalabriaIn this paper, we first present a 6-point binary interpolating subdivision scheme (BISS) which produces a C-2 continuous curve and 4th order of approximation. Then as an application of the scheme, we develop an iterative algorithm for the solution of 2nd order nonlinear singularly perturbed boundary value problems (NSPBVP). The convergence of an iterative algorithm has also been presented. The 2nd order NSPBVP arising from combustion, chemical reactor theory, nuclear engineering, control theory, elasticity, and fluid mechanics can be solved by an iterative algorithm with 4th order of approximation.Publication Metadata only Analysis of non-equilibrium 4D dynamical system with fractal fractional Mittag-Leffler kernel(ELSEVIER - DIVISION REED ELSEVIER INDIA PVT LTD, 2023) Qu, Haidong; Rahman, Mati Ur; Al Hazmi, Sharifah E.; Yassen, Mansour F.; Salahshour, Soheil; Salimi, Mehdi; Ahmadian, Ali; Hanshan Normal University; Umm Al-Qura University; Prince Sattam Bin Abdulaziz University; Egyptian Knowledge Bank (EKB); Damietta University; Bahcesehir University; Saint Francis Xavier University - Canada; Universita Mediterranea di Reggio Calabria; Lebanese American University; Near East University; Shanghai Jiao Tong UniversityIn this article, we presents the theoretical and numerical study of the four dimensional chaotic system which has no equilibrium point in the sense of fractal-fractional Mittag-Leffler kernel. By using the approach of fixed point theory, the existence and uniqueness of solution for the considered model is stud-ied. The approximate solution is acquired by applying the technique of fractional Newton's polynomial interpolation. The numerical simulations of the approximate results are presented for different fractal dimension and fractional orders. From the figures we obtained the butterfly-type attractor by using dif-ferent values of fractal dimension which shows symmetric form. Furthermore, fractal and fractional oper-ators show significant impacts on the dynamics of the non-linear chaotic systems. (c) 2022 Karabuk University. Publishing services by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).Publication Metadata only Efficient scheme for a category of variable-order optimal control problems based on the sixth-kind Chebyshev polynomials(DE GRUYTER POLAND SP Z O O, 2024) Sadri, Khadijeh; Hosseini, Kamyar; Salahshour, Soheil; Baleanu, Dumitru; Ahmadian, Ali; Park, Choonkil; Near East University; Near East University; Hanyang University; Lebanese American University; Okan University; Bahcesehir University; Piri Reis University; Institute of Space Science; Universita Mediterranea di Reggio CalabriaThe main goal of the present study is to introduce an operational collocation scheme based on sixth-kind Chebyshev polynomials (SCPs) to solve a category of optimal control problems involving a variable-order dynamical system (VODS). To achieve this goal, the collocation method based on SCPs, the pseudo-operational matrix for the fractional integral operator, and the dual operational matrix are adopted. More precisely, an algebraic equation is obtained instead of the objective function and a system of algebraic equation is derived instead of the VODS. The constrained equations obtained from joining the objective function to the VODS are ultimately optimized using the method of the Lagrange multipliers. Detailed convergence analysis of the suggested method is given as well. Four illustrative examples along with several tables and figures are formally provided to support the efficiency and preciseness of the numerical scheme.Publication Metadata only Manifestation of interval uncertainties for fractional differential equations under conformable derivative(PERGAMON-ELSEVIER SCIENCE LTD, 2022) Rahaman, Mostafijur; Mondal, Sankar Prasad; Alam, Shariful; Metwally, Ahmed Sayed M.; Salahshour, Soheil; Salimi, Mehdi; Ahmadian, Ali; Indian Institute of Engineering Science Technology Shibpur (IIEST); Maulana Abul Kalam Azad University of Technology; King Saud University; Bahcesehir University; Saint Francis Xavier University - Canada; Universita Mediterranea di Reggio Calabria; Near East University; Universita Mediterranea di Reggio CalabriaWe propose a generalization of conformable calculus for Type-2 interval-valued functions. We investigated the differentiability and integrability properties of such functions. The conformable generalized Hukuhara (gH) differentiability of fractional order is introduced in this study. We prove a number of essential theorems on the conformable differentiability of the sum, gH difference, and product in a Type 2 interval setting. Furthermore, we define conformable Laplace transformation of Type-2 interval-valued functions. We interpret uncertain linear differential equations by using proposed theories. Several examples are given in detail to illustrate and clarify these rules and theorems. Applications to solving Type-2 interval differential equations with conformable derivatives are shown. Type-2 interval generalizes the interval uncertainty. On the other hand, conformable calculus extends the notion of integer calculus. This paper contributes a generalized theory that includes several existing results of classical integral and differential calculus and their conformable extensions in crisp and interval environments.Publication Metadata only Incremental learning-based cascaded model for detection and localization of tuberculosis from chest x-ray images(PERGAMON-ELSEVIER SCIENCE LTD, 2024) Vats, Satvik; Sharma, Vikrant; Singh, Karan; Katti, Anvesha; Ariffin, Mazeyanti Mohd; Ahmad, Mohammad Nazir; Ahmadian, Ali; Salahshour, Soheil; Jawaharlal Nehru University, New Delhi; Universiti Teknologi Petronas; Universiti Kebangsaan Malaysia; Universita Mediterranea di Reggio Calabria; Okan University; Lebanese American University; Bahcesehir University; Piri Reis University; The Northcap UniversityRapid treatment protocols such as X-ray and CT scans have played a crucial role in the diagnosis of tuberculosis (TB infection). Automatic detection of CXR is required to speed up patient treatment with accuracy. Consequently, it reduces the burden of patients on medical practitioners. The present paper proposes an incremental learning-based cascaded (ILCM) model to detect tuberculosis from Chest X-ray images. The proposed model also localizes the infected region on the CXR image. The experimental outcome, clearly indicates that the performance is better than the pre-trained model as tested on the local population data (93.20% overall accuracy), F1 score of 97.23% (harmonic mean of precision and recall). Where the Golden standard dataset was 83.32% overall accuracy, and F1 score 82.24%.Publication Metadata only STUDY OF INTEGER AND FRACTIONAL ORDER COVID-19 MATHEMATICAL MODEL(WORLD SCIENTIFIC PUBL CO PTE LTD, 2023) Ouncharoen, Rujira; Shah, Kamal; Ud Din, Rahim; Abdeljawad, Thabet; Ahmadian, Ali; Salahshour, Soheil; Sitthiwirattham, Thanin; Chiang Mai University; Chiang Mai University; Prince Sultan University; University of Malakand; China Medical University Taiwan; Kyung Hee University; Universita Mediterranea di Reggio Calabria; Lebanese American University; Near East University; Bahcesehir University; Suan Dusit UniversityIn this paper, we study a nonlinear mathematical model which addresses the transmission dynamics of COVID-19. The considered model consists of susceptible (S), exposed (E), infected (I), and recovered (R) individuals. For simplicity, the model is abbreviated as SEIR. Immigration rates of two kinds are involved in susceptible and infected individuals. First of all, the model is formulated. Then via classical analysis, we investigate its local and global stability by using the Jacobian matrix and Lyapunov function method. Further, the fundamental reproduction number Script capital R0 is computed for the said model. Then, we simulate the model through the Runge-Kutta method of order two abbreviated as RK2. Finally, we switch over to the fractional order model and investigate its numerical simulations corresponding to different fractional orders by using the fractional order version of the aforementioned numerical method. Finally, graphical presentations are given for the approximate solution of various compartments of the proposed model. Also, a comparison with real data has been shown.Publication Metadata only THE IMPACT OF DELAY STRATEGIES ON THE DYNAMICS OF CORONAVIRUS PANDEMIC MODEL WITH NONLINEAR INCIDENCE RATE(WORLD SCIENTIFIC PUBL CO PTE LTD, 2022) Raza, Ali; Ahmadian, Ali; Rafiq, Muhammad; Ang, Mei Choo; Salahshour, Soheil; Pakdaman, Morteza; Universiti Kebangsaan Malaysia; Near East University; University of Central Punjab; Bahcesehir UniversityCurrently, the world is facing a devastating pandemic of a novel coronavirus, which started as an outbreak of pneumonia of unknown cause in Wuhan city of China in December of 2019. According to the recent report of the World Health Organization (WHO), 210 countries convicted badly 1.8 million infections and almost 200,000 causalities. Due to the non-availability of the vaccination, delay strategies such as community distancing, travel restrictions, extension in breaks, use of face-mask, and self-quarantine are the effective treatments to control the pandemic of coronavirus. So, we proposed the delayed susceptible-exposed-infected-recovered model with a nonlinear incidence rate to study the effective role of control strategies. For this analysis, we discussed three types of equilibria of the model such as trivial, coronavirus free, and coronavirus existence with delay terms. The local and global stabilities are investigated by using well-posed notations like the Lasalle invariance principle, Routh-Hurwitz criterion, and Lyapunov function. In the end, some useful replications are presented.