Baleanu, Dumitru
Loading...
Profile URL
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
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
Matematik
02. Fen-Edebiyat Fakültesi
01. Çankaya Üniversitesi
Status
Former Staff
Website
ORCID ID
Scopus Author ID
Turkish CoHE Profile ID
Google Scholar ID
WoS Researcher ID
Sustainable Development Goals
This researcher does not have a Scopus ID.
This researcher does not have a WoS ID.
Scholarly Output
2329
Articles
2129
Views / Downloads
58961/33812
Supervised MSc Theses
0
Supervised PhD Theses
0
WoS Citation Count
71204
Scopus Citation Count
79182
WoS h-index
115
Scopus h-index
120
Patents
0
Projects
0
WoS Citations per Publication
30.57
Scopus Citations per Publication
34.00
Open Access Source
1191
Supervised Theses
0
Google Analytics Visitor Traffic
| Journal | Count |
|---|---|
| Advances in Difference Equations | 198 |
| AIMS Mathematics | 80 |
| Abstract and Applied Analysis | 64 |
| Mathematical Methods in the Applied Sciences | 57 |
| Results in Physics | 54 |
Current Page: 1 / 81
Scopus Quartile Distribution
Competency Cloud
2322 results
Scholarly Output Search Results
Now showing 1 - 10 of 2322
Article Citation - WoS: 2Citation - Scopus: 3Conformable Differential Operators for Meromorphically Multivalent Functions(de Gruyter Poland Sp Z O O, 2021) Baleanu, Dumitru; Jahangiri, Jay M.; Ibrahim, Rabha W.We define a conformable diff-integral operator for a class of meromorphically multivalent functions. We show that this conformable operator adheres to the semigroup property. We then use the subordination properties to prove inclusion conditions, sufficienrt inclusion conditions and convolution properties for this class of conformable operators.Article Citation - WoS: 1Solvability for a Coupled System of Fractional Integrodifferential Equations With M-Point Boundary Conditions on the Half-Line(Hindawi Ltd, 2014) Vaezpour, S. Mansour; Baleanu, Dumitru; Nasertayoob, PayamThe aim of this paper is to study the solvability for a coupled system of fractional integrodifferential equations with multipoint fractional boundary value problems on the half-line. An example is given to demonstrate the validity of our assumptions.Article Citation - WoS: 19Citation - Scopus: 21Fractional Radiative Transfer Equation Within Chebyshev Spectral Approach(Pergamon-elsevier Science Ltd, 2010) Baleanu, Dumitru; Kadem, AbdelouhabIn this work we report the convergence of the Chebyshev polynomials combined with the S-N method for the steady state transport equation using the fractional derivative. The procedure is based on the expansion of the angular flux in a truncated series of orthogonal polynomials that results in the transformation of the multidimensional problem into a system of fractional differential equations. The convergence of this approach is studied in the context of the multidimensional discrete-ordinates equations. (C) 2009 Elsevier Ltd. All rights reserved.Article Citation - WoS: 44Citation - Scopus: 52New Solutions for Conformable Fractional Nizhnik-Novikov System Via G'/g Expansion Method and Homotopy Analysis Methods(Springer, 2017) Tasbozan, O.; Baleanu, D.; Kurt, A.The main purpose of this paper is to find the exact and approximate analytical solution of Nizhnik-Novikov-Veselov system which may be considered as a model for an incompressible fluid with newly defined conformable derivative by using G'/G expansion method and homotopy analysis method (HAM) respectively. Authors used conformable derivative because of its applicability and lucidity. It is known that, the NNV system of equations is an isotropic Lax integrable extension of the well-known KdV equation and has physical significance. Also, NNV system of equations can be derived from the inner parameter-dependent symmetry constraint of the KP equation. Then the exact solutions obtained by using G'/G expansion method are compared with the approximate analytical solutions attained by employing HAM.Article Citation - WoS: 1Citation - Scopus: 5Novel Higher Order Iterative Schemes Based on the Q-Calculus for Solving Nonlinear Equations(Amer inst Mathematical Sciences-aims, 2021) Noor, Muhmmad Aslam; Baleanu, Dumitru; Sana, GulThe conventional infinitesimal calculus that concentrates on the idea of navigating the q-symmetrical outcomes free from the limits is known as Quantum calculus (or q-calculus). It focuses on the logical rationalization of differentiation and integration operations. Quantum calculus arouses interest in the modern era due to its broad range of applications in diversified disciplines of the mathematical sciences. In this paper, we instigate the analysis of Quantum calculus on the iterative methods for solving one-variable nonlinear equations. We introduce the new iterative methods called q-iterative methods by employing the q-analogue of Taylor's series together with the inclusion of an auxiliary function. We also investigate the convergence order of our newly suggested methods. Multiple numerical examples are utilized to demonstrate the performance of new methods with an acceptable accuracy. In addition, approximate solutions obtained are comparable to the analogous solutions in the classical calculus when the quantum parameter q tends to one. Furthermore, a potential correlation is established by uniting the q-iterative methods and traditional iterative methods.Article Citation - WoS: 59Residual Power Series Method for Time-Fractional Schrodinger Equations(int Scientific Research Publications, 2016) Kumar, Amit; Kumar, Sunil; Baleanu, Dumitru; Yang, Xiao-Jun; Zhang, YuIn this paper, the residual power series method (RPSM) is effectively applied to find the exact solutions of fractional-order time dependent Schrodinger equations. The competency of the method is examined by applying it to the several numerical examples. Mainly, we find that our solutions obtained by the proposed method are completely compatible with the solutions available in the literature. The obtained results interpret that the proposed method is very effective and simple for handling different types of fractional differential equations (FDEs). (C) 2016 All rights reserved.Article Citation - WoS: 45Citation - Scopus: 53Existence Criterion for the Solutions of Fractional Order P-Laplacian Boundary Value Problems(Springer, 2015) Baleanu, Dumitru; Khan, Hasib; Khan, Rahmat Ali; Khan, Aziz; Jafari, HosseinThe existence criterion has been extensively studied for different classes in fractional differential equations (FDEs) through different mathematical methods. The class of fractional order boundary value problems (FOBVPs) with p-Laplacian operator is one of the most popular class of the FDEs which have been recently considered by many scientists as regards the existence and uniqueness. In this scientific work our focus is on the existence and uniqueness of the FOBVP with p-Laplacian operator of the form: D-gamma(phi(p)(D-theta z(t))) + a(t)f(z(t)) = 0, 3 < theta, gamma <= 4, t is an element of [0, 1], z(0) = z'''(0), eta D(alpha)z(t)vertical bar(t=1) = z'(0), xi z ''(1) - z ''(0) = 0, 0 < alpha < 1, phi(p)(D-theta z(t))vertical bar(t=0) = 0 = (phi(p)(D-theta z(t)))'vertical bar(t=0), (phi(p)(D-theta z(t)))''vertical bar(t=1) = 1/2(phi(p)(D-theta z(t)))''vertical bar(t=0), (phi(p)(D-theta z(t)))'''vertical bar(t=0) = 0, where 0 < xi, eta < 1 and D-theta, D-gamma, D-alpha are Caputo's fractional derivatives of orders theta, gamma, alpha, respectively. For this purpose, we apply Schauder's fixed point theorem and the results are checked by illustrative examples.Editorial Introduction To the Special Issue on Mathematical Aspects of Computational Biology and Bioinformatics-II(Tech Science Press, 2025) Baleanu, D.; Pinto, C.M.A.; Kumar, S.Article Citation - Scopus: 8A Novel Collocated-Shifted Lucas Polynomial Approach for Fractional Integro-Differential Equations(Springer, 2021) Kumar, R.; Srivastava, K.; Baleanu, D.; Koundal, R.In current analysis, a novel computational approach depending on shifted Lucas polynomials (SLPs) and collocation points is established for fractional integro-differential equations (FIDEs) of Volterra/Fredholm type. A definition for integer order derivative and the lemma for fractional derivative of SLPs are developed. To convert the given equations into algebraic set of equations, zeros of the Lucas polynomial are used as collocation points. Novel theorems for convergence and error analysis are developed to design rigorous mathematical basis for the scheme. Accuracy is proclaimed through comparison with other known methods. © 2021, The Author(s), under exclusive licence to Springer Nature India Private Limited.Article Citation - WoS: 133Citation - Scopus: 146Discrete Chaos in Fractional Sine and Standard Maps(Elsevier, 2014) Baleanu, Dumitru; Zeng, Sheng-Da; Wu, Guo-ChengFractional standard and sine maps are proposed by using the discrete fractional calculus. The chaos behaviors are then numerically discussed when the difference order is a fractional one. The bifurcation diagrams and the phase portraits are presented, respectively. (C) 2013 Elsevier B.V. All rights reserved.
