DSpace Arşivi :: Ana Sayfa

İstanbul Gelişim Üniversitesi Kurumsal Açık Erişim Arşivi

DSpace@Gelişim, İstanbul Gelişim Üniversitesi tarafından doğrudan ve dolaylı olarak yayınlanan; kitap, makale, tez, bildiri, rapor, araştırma verisi gibi tüm akademik kaynakları uluslararası standartlarda dijital ortamda depolar, Üniversitenin akademik performansını izlemeye aracılık eder, kaynakları uzun süreli saklar ve yayınların etkisini artırmak için telif haklarına uygun olarak Açık Erişime sunar.

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Existence and Approximate Controllability of Mild Solutions for Hadamard-Type Fractional Systems in Banach Spaces
(Indian National Science Academy, 2026) Mesri, Fatima; Abdeljawad, Thabet
This work establishes the approximate controllability of nonlinear Hadamard-type fractional systems with weakly singular logarithmic kernels in Banach spaces. Under suitable assumptions on the linearized control operator and a linear growth condition on the nonlinearity, we prove the existence of a mild solution steering the system from an arbitrary initial state arbitrarily close to a prescribed terminal state. The proof combines Krasnoselskii’s fixed point theorem with refined estimates involving logarithmic convolutions.
Novel Approaches For Nonlinear Time–Fractional Telegraph Equation Through Stability Analysis
(World Scientific, 2026) Yasmeen, Bushra; Ahmad, Khalil; Naseralla, Khaled; Abdeljawad, Thabet; Alqudah, Manar A.
In recent years, many researchers have explored the use of Fractional Partial Differential Equations (FPDEs) to model real-world phenomena through transport of porous media in engineering and applied sciences. Investigating nonlinear time-fractional Telegraph equation with quadratic nonlinearity, we transform the Partial Differential Equation (PDE) into Ordinary Differential Equation (ODE) by using the stability analysis. The obtained solutions contain different ways of exponential functions. Our method uses stability analysis to solve the complex equations easily and their applications in physics, mathematics and engineering. This indicates how system behaves near an equilibrium point and whether the underlying model is stable or unstable using the concept of stability. Significant outcomes are obtained from the various solution families. To examine the impact of several gained parameters, the propagation behavior of the obtained data is shown in 2D, 3D, and contour representations. The significance of physical situations will be better understood by the researchers to these findings. The nonlinear timefractional Telegraph equations play a central role in many areas of electrical engineering for transport in porous media. This paper reports that our research contributes to the existing literature, offering a fresh perspective on these equations and paving the way for future research for transport in porous media. Our approach provides stability analysis with a high accuracy for two-dimensional plane autonomous systems.
Development of Chelyshkov Wavelets Neural Network Method for Solving Nonlinear Fractal–Fractional Optimal Control Problems
(John Wiley and Sons Ltd, 2026) Rahimkhani, Parisa; Karakoç, Seydi Battal Gazi; Abdeljawad, Thabet
This paper employs Chelyshkov wavelets neural network method for solving nonlinear fractal– fractional optimal control problems (FFOCPs) in the Atangana–Riemann–Liouville sense. The described neural network is comprised of three layers: the input layer, the hidden layer, and the output layer. This three-layer structure allows the neural network to learn complex relationships between input and output by applying Chelyshkov wavelets in the hidden layer and nonlinear scaling in the output layer. Initially, the problem under investigation is transformed into an equivalent variational problem by applying the definition of the fractal– fractional integral. Subsequently, by utilizing the Chelyshkov wavelets, the neural network method, and the Gauss–Legendre integration, the problem is reformulated as a system of algebraic equations. Finally, this system is solved using Newton’s iterative method. Additionally, we show the convergence of the proposed approach within the Hilbert space framework. To assess the applicability and efficacy of the proposed scheme, four examples are given.
Impact of IoT in Improving the Proficiency of Electric Power Distribution Systems: Linguistic Bipolar MABAC Technique Based on Einstein Models With Priority Degrees
(World Scientific, 2026) Ashraf, Khumara; Ali, Zeeshan; Abdalla, Bahaaeldin; Alqudah, Manar A.; Shah, Kamal; Abdeljawad, Thabet
The key theme of this paper is to introduce the linguistic bipolar fuzzy sets, which are a modi¯ed version of the linguistic information and bipolar fuzzy set theory. Additionally, we propose the Einstein operational laws based on linguistic bipolar fuzzy information for evaluating the prioritized aggregation operators, such as the linguistic bipolar fuzzy prioritized Einstein averaging operator and linguistic bipolar fuzzy prioritized Einstein geometric operator, with three basic properties for each operator, called idempotency, monotonicity and boundedness. Moreover, we aim to construct the multiattributive border approximation area comparison tool and the multiattribute decision-making tool based on the designed operators. Furthermore, we illustrate the design of some numerical analyses for evaluating the decision-making technique and suggest models to describe the authority of the planned theory. Finally, by considering the proposed ranking values, we aim to compare them with the ranking values of the existing models for assessing the validity of the described theory.
Employment Precarity and Psychosocial Well-Being Among İnterstate Migrant Workers in India: The Mediating Role of Social Protection
(Frontiers Media SA, 2026) Kariveliparambil Mohammed Ashraf, Ashifa; K, Saravanan; Ranganathan, Maharishi; Sebastian, Smijo; Kurian, Alphonsa; Babu, Jobi
Background: Employment precarity has become a defining feature of informal labor markets, particularly among interstate migrant workers in developing economies like India. Although a growing body of evidence demonstrates the adverse effects of precarious employment on mental health, the mechanisms through which these effects operate remain unclear. Methods: This study employed a cross-sectional survey design with a purposive sample of 428 interstate migrant workers from Kerala. Data were collected using structured scales for employment precarity, social protection, psychosocial well-being, social exclusion, and adaptive coping. Pearson’s correlation and linear regression analyses were performed, and mediation and moderation effects were tested using the PROCESS macro (Models 4 and 1). Results: Employment precarity was significantly associated with lower psychosocial wellbeing. Social protection demonstrated a statistically significant indirect effect within this association, suggesting that access to institutional resources may be a partial factor. However, social exclusion and adaptive coping did not moderate this relationship. These findings suggest that the association between employment precarity and psychosocial wellbeing remained relatively consistent across the social and individual factors examined in this study. Conclusion: The findings underscore the comparatively strong association between employment precarity and migrant well-being while suggesting that the buffering roles of social and individual factors may be contextually limited within the present sample. However, given its cross-sectional design, these findings should be interpreted as associations rather than causal relationships. The psychosocial health of migrant workers can be improved by developing accessible and portable social protection systems, alongside structural labor market reforms.