Matematik Bölümü Yayın Koleksiyonu

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

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Citation - WoS: 9
Citation - Scopus: 10
A Novel Multicriteria Decision-Making Approach for Einstein Weighted Average Operator under Pythagorean Fuzzy Hypersoft Environment
(Hindawi Ltd, 2022) Sunthrayuth, Pongsakorn; Jarad, Fahd; Jarad, Fahd; Majdoubi, Jihen; Zulqarnain, Rana Muhammad; Iampan, Aiyared; Siddique, Imran; 234808; Matematik
The experts used the Pythagorean fuzzy hypersoft set (PFHSS) in their research to discourse ambiguous and vague information in decision-making processes. The aggregation operator (AO) plays a prominent part in the sensitivity of the two forefront loops and eliminates anxiety from that perception. The PFHSS is the most influential and operative extension of the Pythagorean fuzzy soft set (PFSS), which handles the subparameterized values of alternatives. It is also a generalized form of Intuitionistic fuzzy hypersoft set (IFHSS) that provides better and more accurate assessments in the decision-making (DM) process. In this work, we present some operational laws for Pythagorean fuzzy hypersoft numbers (PFHSNs) and then formulate Pythagorean fuzzy hypersoft Einstein weighted average (PFHSEWA) operator based on developed operational laws. We discuss essential features such as idempotency, boundedness, and homogeneity for the proposed PFHSEWA operator. Furthermore, a DM approach has been developed based on the built-in operator to address multicriteria decision-making (MCDM) issues. A numerical case study of decision-making problems in real-life agricultural farming is considered to validate the settled technique's dominance and applicability. The consequences display that the planned model is more operative and consistent to handle inexact data based on PFHSS.
Citation - Scopus: 0
A special issue in honor of the 55th birthday of dumitru baleanu
(Cankaya University, 2019) Jarad, F.; Jarad, Fahd; 234808; Matematik
Citation - WoS: 0
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 - WoS: 0
Citation - Scopus: 2
Advanced Theoretical and Applied Studies of Fractional Differential Equations
(Hindawi Publishing Corporation, 2013) Baleanu, Dumitru; Baleanu, Dumitru; Trujillo, Juan J.; Ahmad, Bashir; 56389; Matematik
Citation - WoS: 0
Citation - Scopus: 0
Advanced Theoretical and Applied Studies of Fractional Differential Equations 2013
(Hindawi Publishing Corporation, 2014) Baleanu, Dumitru; Trujillo, Juan J.; Ahmad, Bashir; Matematik
Citation - WoS: 1
Citation - Scopus: 1
Advanced Topics in Dynamics of Complex Systems
(Hindawi Ltd, 2014) Baleanu, Dumitru; Baleanu, Dumitru; Ahmad, Bashir; Nieto, Juan J.; Machado, J. A. Tenreiro; 56389; Matematik
Citation - WoS: 0
Citation - Scopus: 9
Advanced Topics in Fractional Dynamics
(Hindawi Ltd, 2013) Baleanu, Dumitru; Baleanu, Dumitru; Srivastava, H. M.; Daftardar-Gejji, Varsha; Li, Changpin; Machado, J. A. Tenreiro; 56389; Matematik
Citation - WoS: 0
Advances In Wavelet Theory And Theır Applıcatıons In Engıneerıng, Physıcs And Technology Preface
(intech Europe, 2012) Baleanu, Dumitru; Baleanu, Dumitru; 56389; Matematik
Citation - Scopus: 0
Advances On Integrodifferential Equations and Transforms
(Hindawi Publishing Corporation, 2015) Srivastava, H.M.; Baleanu, Dumitru; Yang, X.-J.; Baleanu, D.; Nieto, J.J.; Hristov, J.; 56389; Matematik
Citation - WoS: 4
Citation - Scopus: 8
An Analytical Investigation of Fractional-Order Biological Model Using an Innovative Technique
(Wiley-hindawi, 2020) Khan, Hassan; Baleanu, Dumitru; Khan, Adnan; Al Qurashi, Maysaa; Baleanu, Dumitru; Shah, Rasool; 56389; Matematik
In this paper, a new so-called iterative Laplace transform method is implemented to investigate the solution of certain important population models of noninteger order. The iterative procedure is combined effectively with Laplace transformation to develop the suggested methodology. The Caputo operator is applied to express the noninteger derivative of fractional order. The series form solution is obtained having components of convergent behavior toward the exact solution. For justification and verification of the present method, some illustrative examples are discussed. The closed contact is observed between the obtained and exact solutions. Moreover, the suggested method has a small volume of calculations; therefore, it can be applied to handle the solutions of various problems with fractional-order derivatives.
Citation - WoS: 0
Citation - Scopus: 0
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) Botmart, Thongchai; Jarad, Fahd; Sahoo, Soubhagya Kumar; Kodamasingh, Bibhakar; Latif, Muhammad Amer; Jarad, Fahd; Kashuri, Artion; 234808; Matematik
Citation - WoS: 33
Citation - Scopus: 39
Challenges in fractional dynamics and control theory
(Sage Publications Ltd, 2016) Baleanu, Dumitru; Baleanu, Dumitru; Caponetto, Riccardo; Tenreiro Machado, J. A.; 56389; Matematik
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) Rabei, Eqab M.; Baleanu, Dumitru; Al-Jamel, A.; Widyan, H.; Baleanu, D.; 56389; Matematik
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.
Citation - WoS: 0
Citation - Scopus: 0
Composite Structures with Symmetry
(Mdpi, 2021) Marin, Marin; Baleanu, Dumitru; Baleanu, Dumitru; Vlase, Sorin; 56389; Matematik
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.
Citation - WoS: 0
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: 43
Discrete fractional watermark technique
(Zhejiang Univ, 2020) Wang, Zai-rong; Baleanu, Dumitru; Shiri, Babak; Baleanu, Dumitru; 56389; Matematik
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.
Citation - WoS: 0
Editorial for the MMAS special issue "Role of Fractional Operators and Mathematical Modelling in Applied Sciences"
(Wiley, 2023) Singh, Jagdev; Baleanu, Dumitru; Kumar, Devendra; Baleanu, Dumitru; 56389; Matematik
Citation - WoS: 2
Citation - Scopus: 2
Editorial note on the special issue: "Fractional calculus models for the dynamics of complex systems"
(Elsevier, 2021) Sweilam, Nasser H.; Baleanu, Dumitru; Kumar, Devendra; Pinto, Carla M. A.; Baleanu, Dumitru; 56389; Matematik
Citation - WoS: 68
Citation - Scopus: 72
Editorial: Fractional Calculus and Its Applications in Physics
(Frontiers Media Sa, 2019) Kumar, Devendra; Baleanu, Dumitru; Baleanu, Dumitru; 56389; Matematik
Citation - WoS: 1
Citation - Scopus: 2
Editorial: Special issue section on fractal ai-based analyses and applications to complex systems: Part iii
(World Scientific Publ Co Pte Ltd, 2022) Karaca, Yeliz; Baleanu, Dumitru; Baleanu, Dumitru; Moonis, Majaz; Zhang, Yu-Dong; Gervasi, Osvaldo; 56389; Matematik

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