Matematik Bölümü Yayın Koleksiyonu

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

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Advanced Modelling of Transport Problems in Heat-Mass and Related Fluid Mechanics
(Vinca inst Nuclear Sci, 2021) Hristov, Jordan; Baleanu, Dumitru; Kumar, Devendra; Baleanu, Dumitru; 56389; Matematik
Citation - Scopus: 2
Advanced Theoretical and Applied Studies of Fractional Differential Equations
(Hindawi Publishing Corporation, 2013) Trujillo, Juan J.; Ahmad, Bashir; Baleanu, Dumitru; 56389
Advanced Theoretical and Applied Studies of Fractional Differential Equations 2013
(Hindawi Publishing Corporation, 2014) Baleanu, Dumitru; Trujillo, Juan J.; Ahmad, Bashir
Citation - WoS: 1
Citation - Scopus: 1
Advanced Topics in Dynamics of Complex Systems
(Hindawi Ltd, 2014) Ahmad, Bashir; Nieto, Juan J.; Machado, J. A. Tenreiro; Baleanu, Dumitru; 56389
Citation - Scopus: 9
Advanced Topics in Fractional Dynamics
(Hindawi Ltd, 2013) Srivastava, H. M.; Daftardar-Gejji, Varsha; Li, Changpin; Machado, J. A. Tenreiro; Baleanu, Dumitru; 56389
Advances in Wavelet Theory and Their Applications in Engineering, Physics and Technology Preface
(intech Europe, 2012) Baleanu, Dumitru; Baleanu, Dumitru; 56389; Matematik
Advances on Integrodifferential Equations and Transforms
(Hindawi Publishing Corporation, 2015) Yang, X.-J.; Baleanu, D.; Nieto, J.J.; Hristov, J.; Srivastava, H.M.; 56389
Certain Midpoint-Type Fejer and Hermite-Hadamard Inclusions Involving Fractional Integrals With an Exponential Function in Kernel (Vol 8, Pg 5616, 2023)
(Amer inst Mathematical Sciences-aims, 2023) Sahoo, Soubhagya Kumar; Kodamasingh, Bibhakar; Latif, Muhammad Amer; Jarad, Fahd; Kashuri, Artion; Botmart, Thongchai; 234808
Citation - WoS: 33
Citation - Scopus: 39
Challenges in Fractional Dynamics and Control Theory
(Sage Publications Ltd, 2016) Caponetto, Riccardo; Tenreiro Machado, J. A.; Baleanu, Dumitru; 56389
Citation - WoS: 2
Citation - Scopus: 2
Comment on "maxwell's Equations and Electromagnetic Lagrangian Density in Fractional Form" [J. Math. Phys. 53, 033505 ( 2012)]
(Amer inst Physics, 2014) Al-Jamel, A.; Widyan, H.; Baleanu, D.; Rabei, Eqab M.; 56389
In a recent paper, Jaradat et al. [J. Math. Phys. 53, 033505 (2012)] have presented the fractional form of the electromagnetic Lagrangian density within the Riemann-Liouville fractional derivative. They claimed that the Agrawal procedure [O. P. Agrawal, J. Math. Anal. Appl. 272, 368 (2002)] is used to obtain Maxwell's equations in the fractional form, and the Hamilton's equations of motion together with the conserved quantities obtained from fractional Noether's theorem are reported. In this comment, we draw the attention that there are some serious steps of the procedure used in their work are not applicable even though their final results are correct. Their work should have been done based on a formulation as reported by Baleanu and Muslih [Phys. Scr. 72, 119 (2005)]. (C) 2014 AIP Publishing LLC.
Composite Structures With Symmetry
(Mdpi, 2021) Baleanu, Dumitru; Vlase, Sorin; Marin, Marin; 56389
In recent years, the use of composite materials in structural applications has been observed. The composites have revolutionized the field of materials and allow for interesting and new developments in different engineering branches. At the same time, in all areas of engineering, there are some products or parts of products or components that contain repetitive or identical elements. Here, different types of symmetry can occur. Such systems have been studied by various researchers in the last few decades. In civil engineering, for example, most buildings, works of art, halls, etc. have, in their structure, identical parts and symmetries. This has happened since antiquity, for different reasons. First, because of their easier, faster, and cheaper design, and second, because of their easy manufacturing and (less important for engineers, but important to the beneficiaries) for aesthetic reasons. The symmetry in the field of composite materials manifests itself in two different ways, at two levels-one due to the symmetries that appear in the composition of the composite materials and that determine the properties of the materials, and second in the structures manufactured with composites. The study of the obvious importance of the existence of symmetries in the design of composite materials or composite structures of a sandwich type, for example (but also other types), and of the existence of symmetries in structures constructed also using composite materials will be highlighted within this Special Issue. With this Issue, we want to disseminate knowledge among researchers, designers, manufacturers, and users in this exciting field.
Contemporary Modelling Methods in Heat, Mass, and Fluid Flow - Second Part
(Vinca inst Nuclear Sci, 2017) Hristov, Jordan; Baleanu, Dumitru; Baleanu, Dumitru; Atangana, Abdon; 56389; Matematik
Citation - WoS: 42
Citation - Scopus: 44
Discrete Fractional Watermark Technique
(Zhejiang Univ, 2020) Shiri, Babak; Baleanu, Dumitru; Wang, Zai-rong; 56389
The fractional logistic map holds rich dynamics and is adopted to generate chaotic series. A watermark image is then encrypted and inserted into the original images. Since the encryption image takes the fractional order within (0, 1], it increases the key space and becomes difficult to attack. This study provides a robust watermark method in the protection of the copyright of hardware, images, and other electronic files.
Editorial for the Mmas Special Issue "role of Fractional Operators and Mathematical Modelling in Applied Sciences
(Wiley, 2023) Kumar, Devendra; Baleanu, Dumitru; Singh, Jagdev; 56389
Citation - WoS: 2
Citation - Scopus: 3
Editorial Note on the Special Issue: "fractional Calculus Models for the Dynamics of Complex Systems
(Elsevier, 2021) Kumar, Devendra; Pinto, Carla M. A.; Baleanu, Dumitru; Sweilam, Nasser H.; 56389
Citation - WoS: 79
Citation - Scopus: 85
Editorial: Fractional Calculus and Its Applications in Physics
(Frontiers Media Sa, 2019) Baleanu, Dumitru; Kumar, Devendra; 56389
Citation - Scopus: 1
Editorial: Recent Advances in Computational Biology
(Pergamon-elsevier Science Ltd, 2022) Srivastava, Hari Mohan; Cattani, Carlo; Baleanu, Dumitru; 56389
Citation - Scopus: 12
Evolutionary Mathematical Science, Fractional Modeling and Artificial Intelligence of Nonlinear Dynamics in Complex Systems
(Akif AKGUL, 2022) Karaca, Yeliz; Baleanu, Dumitru; 56389
Complex problems in nonlinear dynamics foreground the critical support of artificial phenomena so that each domain of complex systems can generate applicable answers and solutions to the pressing challenges. This sort of view is capable of serving the needs of different aspects of complexity by minimizing the problems of complexity whose solutions are based on advanced mathematical foundations and analogous algorithmic models consisting of numerous applied aspects of complexity. Evolutionary processes, nonlinearity and all the other dimensions of complexity lie at the pedestal of time, reveal time and occur within time. In the ever-evolving landscape and variations, with causality breaking down, the idea of complexity can be stated to be a part of unifying and revolutionary scientific framework to expound complex systems whose behavior is perplexing to predict and control with the ultimate goal of attaining a global understanding related to many branches of possible states as well as high-dimensional manifolds, while at the same time keeping abreast with actuality along the evolutionary and historical path, which itself, has also been through different critical points on the manifold. In view of these, we put forth the features of complexity of varying phenomena, properties of evolution and adaptation, memory effects, nonlinear dynamic system qualities, the importance of chaos theory and applications of related aspects in this study. In addition, processes of fractional dynamics, differentiation and systems in complex systems as well as the dynamical processes and dynamical systems of fractional order with respect to natural and artificial phenomena are discussed in terms of their mathematical modeling. Fractional calculus and fractional-order calculus approach to provide novel models with fractional-order calculus as employed in machine learning algorithms to be able to attain optimized solutions are also set forth besides the justification of the need to develop analytical and numerical methods. Subsequently, algorithmic complexity and its goal towards ensuring a more effective handling of efficient algorithms in computational sciences is stated with regard to the classification of computational problems. We further point out the neural networks, as descriptive models, for providing the means to gather, store and use experiential knowledge as well as Artificial Neural Networks (ANNs) in relation to their employment for handling experimental data in different complex domains. Furthermore, the importance of generating applicable solutions to problems for various engineering areas, medicine, biology, mathematical science, applied disciplines and data science, among many others, is discussed in detail along with an emphasis on power of predictability, relying on mathematical sciences, with Artificial Intelligence (AI) and machine learning being at the pedestal and intersection with different fields which are characterized by complex, chaotic, nonlinear, dynamic and transient components to validate the significance of optimized approaches both in real systems and in related realms.
Citation - Scopus: 3
Focus Point on Fractional Differential Equations in Physics: Recent Advantages and Future Direction
(Springer Verlag, 2019) Cattani, C.; Shitikova, M.V.; Sun, H.G.; Zhang, Y.; Baleanu, D.; 56389
Citation - WoS: 2
Citation - Scopus: 3
Fractional and Time-Scales Differential Equations
(Hindawi Publishing Corporation, 2014) Torres, Delfim F. M.; Bhrawy, Ali H.; Salahshour, Soheil; Baleanu, Dumitru; 56389

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