Matematik Bölümü Yayın Koleksiyonu

Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/413

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  • Article
    Citation - WoS: 99
    Citation - Scopus: 113
    Recent Developments of Energy Management Strategies in Microgrids: an Updated and Comprehensive Review and Classification
    (Pergamon-elsevier Science Ltd, 2023) Baleanu, Dumitru; Abbasi, Ali Reza
    Energy is one of the essential foundations for the sustainable development of human society, so its management is necessary. Energy management system (EMS) can be explained as the procedure of optimizing, planning, controlling, monitoring, and saving energy to maximize operations and efficiency and minimize consumption. Microgrid (MG) requires EMS as an efficient and optimal tool owing to the stochastic nature of electrical loads and renewable sources. Moreover, energy management system is responsible for operation of a MG in reliable, secure and economical manner in either states of grid-connected or disconnected. Many literatures have recently focused on the expansion of advanced strategies of the MG energy management for establishing a self-sustained MG in both industrial and academic research. Thus, a comparative research is needed for having a 360 degrees viewpoint of the energy management domain in MGs. In this regard, this research investigates a comparative and critical analysis of the developed strategies of the energy management for the MGs from different views and aspects from 2009 to 2022. The review strategy systematically adopted by the author includes: (i) Extracting research papers relevant to energy management in MGs; (ii) Filtering the significant papers to prepare a database of related research papers (iii) Classifying the used methods for EMS based on the technique, control strategies, and structure; (iv) Discussing potential directions for future studies. In a wider outlook, this research provides a systematic and updated review of energy management strategies for MGs developed by different researchers. The author hopes that academicians and practitioners can use the suggested framework as well as the offers presented for further studies on this significant yet sophisticated issue.
  • Article
    Effects of the Random Walk and the Maturation Period in a Diffusive Predator-Prey System With Two Discrete Delays
    (Pergamon-elsevier Science Ltd, 2023) Goktepe, S.; Merdan, H.; Bilazeroglu, S.
    This study aims to present a complete Hopf bifurcation analysis of a model describing the relationship between prey and predator. A ratio-dependent reaction-diffusion system with two discrete time delays operating under Neumann boundary conditions governs the model that represents this competition. The bifurcation parameter for the analysis is a delay parameter that reflects the amount of time needed for the predator to be able to hunt. Bilazeroglu and Merdan's algorithm (Bilazeroglu et al., 2021), which is developed by using the center manifold theorem and normal form theory, is used to establish the existence of Hopf bifurcations and also the stability of the bifurcating periodic solutions. The same procedure is used to illustrate some specific bifurcation properties, such as direction, stability, and period. Furthermore, by examining a model with constant coefficients, we also analyze how diffusion and the amount of time needed for prey to mature impact the model's dynamics. To support the obtained analytical results, we also run some numerical simulations. The results indicate that the dynamic of the mathematical model is significantly influenced by diffusion, the amount of time needed for the predator to gain the capacity to hunt, and the amount of time required for prey to reach maturity that the predator can hunt.
  • Article
    Citation - WoS: 103
    Citation - Scopus: 107
    Some Novel Mathematical Analysis on the Fractal-Fractional Model of the Ah1n1/09 Virus and Its Generalized Caputo-Type Version
    (Pergamon-elsevier Science Ltd, 2022) Avci, Ibrahim; Kumar, Pushpendra; Baleanu, Dumitru; Rezapour, Shahram; Etemad, Sina
    In this paper, we formulate a new model of a particular type of influenza virus called AH1N1/09 in the framework of the four classes consisting of susceptible, exposed, infectious and recovered people. For the first time, we here investigate this model with the help of the advanced operators entitled the fractal-fractional operators with two fractal and fractional orders via the power law type kernels. The existence of solution for the mentioned fractal-fractional model of AH1N1/09 is studied by some special mappings such as ?-psi-contractions and ?-admissibles. The Leray-Schauder theorem is also applied for this aim. After investigating the stability criteria in four versions, to approximate the desired numerical solutions, we implement Adams-Bashforth (AB) scheme and simulate the graphs for different data on the fractal and fractional orders. Lastly, we convert our fractal-fractional AH1N1/09 model into a fractional model via the generalized Liouville-Caputo-type (GLC-type) operators and then, we simulate new graphs caused by the new numerical scheme called Kumar-Erturk method.
  • Editorial
    Citation - WoS: 1
    Citation - Scopus: 2
    Editorial: Recent Advances in Computational Biology
    (Pergamon-elsevier Science Ltd, 2022) Srivastava, Hari Mohan; Cattani, Carlo; Baleanu, Dumitru
  • Article
    Citation - WoS: 19
    Citation - Scopus: 22
    Numerical Investigation of Fractional-Order Cholera Epidemic Model With Transmission Dynamics Via Fractal-Fractional Operator Technique
    (Pergamon-elsevier Science Ltd, 2022) Jarad, Fahd; Alsharidi, Abdulaziz Khalid; Rashid, Saima
    The goal of this research is to determine if it is conceptually sufficient to eliminate infection in a community by utilizing mathematical modelling and simulation techniques when appropriate protective controls are adopted. In this research, we investigate the straightforward interaction transmission method to create a deterministic mathematical formulation of cholera infectious dynamics via the fractal-fractional (F-F) derivative operator. Furthermore, the qualitative characteristics of the framework are investigated, including the invariant region, the existence of a positive invariant solution, the equilibria conditions and their stabilities. In addition, the fundamental reproductive number R-0 < 1 is calculated, indicating that the strategy is more plausible. The Atangana-Baleanu, Caputo-Fabrizio, and Caputo F-F differential operators are recently described F-F differential operators that are used to describe the computational formula of the cholera epidemic model. We examined the numerical dynamics of the cholera epidemic, considering three assumptions: (i) altering fractal order while fixing fractional order; (ii) changing fractional order while fixing fractal order; and (iii) fluctuating fractal and fractional orders simultaneously. For the numerical modelling of the aforesaid model, our analysed graphical representations and numerical simulations via MATLAB indicate that the newly proposed Atangana-Baleanu, Caputo-Fabrizio, and Caputo F-F differential operators yield notable outcomes when compared to the classical framework. According to the simulated data, reduced contact rate, successful recovery rate, and appropriate hygiene are the most essential aspects for eliminating cholera disease from the community.
  • Article
    Citation - WoS: 21
    Citation - Scopus: 39
    The Development of Sustainable Iot E-Waste Management Guideline for Households
    (Pergamon-elsevier Science Ltd, 2022) Savita, K. S.; Kalid, Khairul Shafee; Ahmad, Mohammad Nazir; Zaffar, Maryam; Rahim, Eidia Erriany Abdul; Ahmadian, Ali; Razip, Marym Mohamad; Abdul Rahim, Eidia Erriany
    The introduction of new technology, such as the Internet of Things (IoT), entails a growth in digital devices, which could ultimately result in a high amount of electronic trash (e-waste) production if they are not appropriately managed. Apart from that, the regulation on possible "IoT E-waste" generation is yet to be regulated, probably due to the new development and implementation of IoT globally. Hence, this paper proposed a Sustainable IoT E-waste Management guideline for households. This guideline could assist government agencies and policymakers in their strategies, planning, development, and implementation of a sustainable household IoT e-waste management initiatives in Malaysia. This study is an exploratory study that adopts a qualitative case study research method. The guideline was developed based on the Integrated Sustainable Waste Management (ISWM) Model. This guideline contributes to Malaysia's sustainability agenda in reducing carbon emissions intensity towards 2030 by 45 percent.
  • Article
    Citation - WoS: 4
    Citation - Scopus: 5
    Swarming Optimization To Analyze the Fractional Derivatives and Perturbation Factors for the Novel Singular Model
    (Pergamon-elsevier Science Ltd, 2022) Ben Said, Salem; Baleanu, Dumitru; Sabir, Zulqurnain; Said, Salem Ben
    The aim of this research is to present an investigation based on the fractional derivatives and perturbation factors for the novel singular system. This study also presents a novel design of the fractional perturbed singular system by using the conventional Lane-Emden form together with the features of fractional order values, singular points, perturbed terms and shape factors. An analysis based on the fractional order derivative and perturbation factors is provided using the novel singular form of the Lane-Emden system in two different ways with three different variations. The numerical representations based on the novel design of the fractional perturbed singular system are presented through the Meyer wavelet neural networks (MWNNs). The optimization is performed by using the hybrid efficiency of the global swarming particle swarm optimization (PSO) scheme along with the local interior -point algorithm (IPA). The modeling through the MWNN is signified through the novel fractional perturbed singular system through the mean square error along with the PSOIPA optimization. The exactness, verification, endorsement and excellence of the novel fractional perturbed singular system are authenticated through the comparison of the obtained and the true solutions. The reliability of the stochastic procedure is performed by using the statistical measures with a large domain of the dataset to analyze the fractional derivatives and perturbation factors for the novel singular system.
  • Article
    Citation - WoS: 30
    Citation - Scopus: 37
    Effect of Laser Welding Parameters on the Temperature Distribution, Microstructure and Mechanical Properties of Dissimilar Weld Joint of Inconel 625 and Stainless Steel 304
    (Pergamon-elsevier Science Ltd, 2022) Jam, Jafar Eskandari; Beni, Mohsen Heydari; Kholoud, Mohammad Javad; Baleanu, Dumitru; Shahraki, Majid Eskandari; Ghaemi, Ferial; Yan, Li
    Laser welding technology and investigation of temperature distribution can serve as an important criterion for performing high-quality joints. In this experimental study, dissimilar laser welding is performed between stainless steel 304 (S.S 304) and Inconel 625 alloys. The temperature is measured by changing such parameters of laser as laser power, welding speed and nozzle distance. The parameters variations are 300-400 W, 240-480 mm/min and 0-4 mm for the laser power, welding speed and nozzle distance, respectively. Examining the parameters shows that the change in the laser power due to temperature changes had a greater effect on temperature changes around the Inconel 625 side melt pool; also, the rate of change was about twice that of S.S 304. In the case of the S.S 304 alloy, the temperature increase was occurred at a slower rate and the evaporation rate of the material on the S.S304 side is higher than that of Inconel 625 superalloy. As a result, the rate of temperature increase is slower and part of the laser energy is used to evaporate S.S 304. The microstructural changes in the boundary of the fusion zone with the base metal Inconel 625 are clearly visible.
  • Article
    Citation - WoS: 28
    Citation - Scopus: 30
    Dynamics of Hiv-Tb Coinfection Model Using Classical and Caputo Piecewise Operator: a Dynamic Approach With Real Data From South-East Asia, European and American Regions
    (Pergamon-elsevier Science Ltd, 2022) Liu, Zixin; Pang, Yicheng; Akgul, Ali; Baleanu, Dumitru; Xu, Changjin
    In this study, we analyse the behaviour of the coinfection of the HIV-TB model using a piecewise operator in the classical-Caputo sense. For the aforementioned disease model, we present the existence as well as the uniqueness of a solution having a piecewise derivative. We also study the different versions of stability using Ulam-Hyers stability in nonlinear analysis. We use the piecewise Newton polynomial technique to obtain an approximation of the solution to the proposed problem. The simulations for the suggested coinfection model are presented. The simulations are carried out for the disease-free as well as endemic equilibrium. Additionally, the comparison between the simulated and real data is presented, where we obtain the best-fitted dynamics of the infected class with TB.