Baleanu, Dumitru

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Profile URL
https://hdl.handle.net/20.500.12416/9045
Name Variants
Baleanu, Dumitru
Baleanu, D.
Balaenu, Dumitru
Bǎleanu, D.
Balea, Itru
Bale-Anti, Dumitru
Daleanu, Bunnitru
Baleanu, Umitru
Baleanu, Dumitru I.
Baleanu, DB
Baleanu, Dumitrru
Baleanu, Dumitur
Baleanu, D
Balean, Dumitru
Baleanu, Dumitru, I
Job Title
Dr. Öğr. Üyesi
Email Address
dumitru@cankaya.edu.tr
Main Affiliation
02.02. Matematik
Matematik
02. Fen-Edebiyat Fakültesi
01. Çankaya Üniversitesi
Status
Former Staff
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Scopus Author ID
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WoS Researcher ID

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Scholarly Output

2367

Articles

2161

Views / Downloads

59873/35294

Supervised MSc Theses

0

Supervised PhD Theses

0

WoS Citation Count

71654

Scopus Citation Count

79679

Patents

0

Projects

0

WoS Citations per Publication

30.27

Scopus Citations per Publication

33.66

Open Access Source

1220

Supervised Theses

0

JournalCount
Advances in Difference Equations198
AIMS Mathematics80
Abstract and Applied Analysis64
Symmetry60
Mathematical Methods in the Applied Sciences57
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Now showing 1 - 10 of 2360
  • Thumbnail Image
    Book Part
    Hidden symmetries of two dimensional superintegrable systems
    (2007) Defterli, Özlem; Baleanu, Dumitru
    Classification of the invariants of two - dimensional superintegrable systems is presented. The hidden symmetries associated to the existence of Killing - Yano tensors are investigated.
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    Article
    Citation - WoS: 4
    Citation - Scopus: 4
    Variational Iteration Method - a Promising Technique for Constructing Equivalent Integral Equations of Fractional Order
    (Sciendo, 2013) Wu, Guo-Cheng; Baleanu, Dumitru; Wang, Yi-Hong
    The variational iteration method is newly used to construct various integral equations of fractional order. Some iterative schemes are proposed which fully use the method and the predictor-corrector approach. The fractional Bagley-Torvik equation is then illustrated as an example of multi-order and the results show the efficiency of the variational iteration method's new role.
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    Article
    Citation - Scopus: 103
    Dynamical Behavior of Solitons of the Perturbed Nonlinear Schrödinger Equation and Microtubules Through the Generalized Kudryashov Scheme
    (Elsevier B.V., 2022) Wazwaz, A.-M.; Mahmud, F.; Baleanu, D.; Roy, R.; Barman, H.K.; Osman, M.S.; Ali Akbar, M.
    The perturbed nonlinear Schrödinger (NLS) equation and the nonlinear radial dislocations model in microtubules (MTs) are the underlying frameworks to simulate the dynamic features of solitons in optical fibers and the functional aspects of microtubule dynamics. The generalized Kudryashov method is used in this article to extract stable, generic, and wide-ranging soliton solutions, comprising hyperbolic, exponential, trigonometric, and some other functions, and retrieve diverse known soliton structures by balancing the effects of nonlinearity and dispersion. It is established by analysis and graphs that changing the included parameters changes the waveform behavior, which is largely controlled by nonlinearity and dispersion effects. The impact of the other parameters on the wave profile, such as wave speed, wavenumber, etc., has also been covered. The results obtained demonstrate the reliability, efficiency, and capability of the implemented technique to determine wide-spectral stable soliton solutions to nonlinear evolution equations emerging in various branches of scientific, technological, and engineering domains. © 2022 The Author(s)
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    Article
    Citation - WoS: 4
    Citation - Scopus: 3
    Numerical Analysis of the Effect of Hot Dent Infusion Jet on the Fluid Flow and Heat Transfer Rate Through the Microchannel in the Presence of External Magnetic Field
    (Springer, 2022) Sajadi, S. Mohammad; Ghaemi, Ferial; Baleanu, Dumitru; Jalali, Esmaeil
    In this work, the nanofluid flow inside a microchannel with serrated injection jet on the upper wall of microchannel and using magnetic field with intensity of 0-40 Hartman were surveyed. The lower microchannel wall with jet injection racks has a constant temperature, but the upper microchannel wall is insulated among injection jets. Applying dented mode for injection jets was performed to enhance heat transfer. This research was performed for Reynolds numbers 10-50 and B = 0.01, 0.05, and 0.1 and for volume fraction of 0-6% water/Al2O3. The results indicated that the higher the height of dents was, the higher the heat transfer occurred.
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    Conference Object
    Reproducing Kernel Method for Strongly Non-Linear Equation
    (Amer inst Physics, 2018) Akgul, Esra Karatas; Baleanu, Dumitru; Akgul, Ali
    In this paper, we search the efficiency of the reproducing kernel method (RKM) in solving the strongly nonlinear equation. An example is presented to prove the power of the technique. The results attained from the technique are compared with the other techniques. Results prove that the presented technique is very effective.
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    Article
    Citation - WoS: 23
    Citation - Scopus: 29
    Diffraction From Fractal Grating Cantor Sets
    (Taylor & Francis Ltd, 2016) Baleanu, D.; Golmankhaneh, Alireza K.
    In this paper, we have generalized the Fa-calculus by suggesting Fourier and Laplace transformations of the function with support of the fractals set which are the subset of the real line. Using this generalization, we have found the diffraction fringes from the fractal grating Cantor sets.
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    Publication
    RETRACTED: Finite Element Study of Magnetohydrodynamics (MHD) and Activation Energy in Darcy–Forchheimer Rotating Flow of Casson Carreau Nanofluid
    (Multidisciplinary Digital Publishing Institute (MDPI), 2020) Baleanu, Dumitru; Bano, Sehrish; Ali, Bagh; Hussain, Sajjad; Rasool, Ghulam
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    Article
    Citation - WoS: 235
    Citation - Scopus: 257
    On Fractional Derivatives With Exponential Kernel and Their Discrete Versions
    (Pergamon-elsevier Science Ltd, 2017) Abdeljawad, Thabet; Baleanu, Dumitru
    In this paper we define the right fractional derivative and its corresponding right fractional integral with exponential kernel. We provide the integration by parts formula and we use the Q-operator to confirm our results. The related Euler Lagrange equations are obtained and one example is reported. Moreover, we formulate and discuss the discrete counterparts of our results.
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    Article
    Citation - WoS: 2
    Citation - Scopus: 4
    A Pseudospectral Algorithm for Solving Multipantograph Delay Systems on a Semi-Infinite Interval Using Legendre Rational Functions
    (Hindawi Ltd, 2014) Baleanu, D.; Bhrawy, A. H.; Hafez, R. M.; Doha, E. H.
    A new Legendre rational pseudospectral scheme is proposed and developed for solving numerically systems of linear and nonlinear multipantograph equations on a semi-infinite interval. A Legendre rational collocation method based on Legendre rational- Gauss quadrature points is utilized to reduce the solution of such systems to systems of linear and nonlinear algebraic equations. In addition, accurate approximations are achieved by selecting few Legendre rational- Gauss collocation points. The numerical results obtained by this method have been compared with various exact solutions in order to demonstrate the accuracy and efficiency of the proposed method. Indeed, for relatively limited nodes used, the absolute error in our numerical solutions is sufficiently small.
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    Article
    Citation - WoS: 1
    Citation - Scopus: 1
    New Aspects in Killing Tensors of Rank Two
    (Editura Acad Romane, 2009) Crasmareanu, Mircea; Baleanu, Dumitru; Baleanu, Dumitru; Matematik
    First integrals quadratic in moments corresponding to the natural Lagrangian systems are discussed with a special view towards the two-dimensional case. Since these first integrals are provided by Killing tensors of rank two we pointed out some geometrical features of this class of tensor fields.