Abdeljawad, Thabet
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Abdeljawad, Thabet & Abdeljawad, T.
Job Title
Doç. Dr.
Email Address
thabet@cankaya.edu.tr
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Matematik
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Former Staff
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1NO POVERTY
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3GOOD HEALTH AND WELL-BEING
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4QUALITY EDUCATION
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9INDUSTRY, INNOVATION AND INFRASTRUCTURE
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Scholarly Output
181
Articles
178
Views / Downloads
7161/8804
Supervised MSc Theses
0
Supervised PhD Theses
0
WoS Citation Count
10297
Scopus Citation Count
11008
Patents
0
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0
WoS Citations per Publication
56.89
Scopus Citations per Publication
60.82
Open Access Source
117
Supervised Theses
0
| Journal | Count |
|---|---|
| Advances in Difference Equations | 31 |
| Journal of Computational Analysis and Applications | 10 |
| Journal of Inequalities and Applications | 7 |
| Fractals | 7 |
| Chaos, Solitons & Fractals | 7 |
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180 results
Scholarly Output Search Results
Now showing 1 - 10 of 180
Article Citation - WoS: 3Citation - Scopus: 3The Property of Smallness Up To a Complemented Banach Subspace(Kossuth Lajos Tudomanyegyetem, 2004) Abdeljawad, T; Abdeljawad, Thabet; Yurdakul, M; MatematikThis article investigates locally convex spaces which satisfy the property of smallness up to a complemented Banach subspace, the SCBS property, which was introduced by Djakov, Terzioglu, Yurdakul and Zahariuta. It is proved that a bounded perturbation of an automorphism on a complete barrelled locally convex, space with the SCBS is stable up to a Banach subspace. New examples are given, and the relation of the SCBS with the quasinormability is analyzed. It is proved that the Frechet space l(p+) does not satisfy the SCBS, therefore this property is not inherited by subspaces or separated quotients.Article Citation - WoS: 1Citation - Scopus: 1Int N-Soft Substructures of Semigroups(Mdpi, 2023) Jawad, Muhammad; Naz, Munazza; Jarad, Fahd; Abdeljawad, Thabet; Shabir, Muhammad; Mushtaq, RimshaThe N-soft sets are newly defined structures with many applications in the real world. We aim for combining the semigroup theory and N-soft sets to provide a comprehensive account of the hybrid framework of N-soft Semigroups. In this paper, we define the gamma-inclusive set, int N-soft subsemigroups, int N-soft left [right] ideals of S, int N-soft product and int N-soft characteristic function, theta-Generalized int N-soft subsemigroups and theta-Generalized int N-soft left [right] ideals of S. We also discuss some examples and theorems based on the restricted (extended) union, restricted (extended) intersection, and gamma-inclusive set.Editorial Citation - WoS: 1Citation - Scopus: 1Recent Developments and Applications on Discrete Fractional Equations and Related Topics(Hindawi Ltd, 2013) Alzabut, Jehad; Sun, Shurong; Abdeljawad, ThabetArticle Citation - WoS: 33Citation - Scopus: 52A Generalized Q-Mittag Function by Q-Captuo Fractional Linear Equations(Hindawi Ltd, 2012) Baleanu, Dumitru; Abdeljawad, Thabet; Benli, BetulSome Caputo q-fractional difference equations are solved. The solutions are expressed by means of a new introduced generalized type of q-Mittag-Leffler functions. The method of successive approximation is used to obtain the solutions. The obtained q-version of Mittag-Leffler function is thought as the q-analogue of the one introduced previously by Kilbas and Saigo (1995).Article Citation - WoS: 595Citation - Scopus: 680On Riemann and Caputo Fractional Differences(Pergamon-elsevier Science Ltd, 2011) Abdeljawad, ThabetIn this paper, we define left and right Caputo fractional sums and differences, study some of their properties and then relate them to Riemann-Liouville ones studied before by Miller K. S. and Ross B., Atici F.M. and Eloe P. W., Abdeljawad T. and Baleanu D., and a few others. Also, the discrete version of the Q-operator is used to relate the left and right Caputo fractional differences. A Caputo fractional difference equation is solved. The solution proposes discrete versions of Mittag-Leffler functions. (C) 2011 Elsevier Ltd. All rights reserved.Article Citation - WoS: 14Citation - Scopus: 19On the Discrete Sumudu Transform(Editura Acad Romane, 2012) Jarad, Fahd; Jarad, Fahd; Abdeljawad, Thabet; Bayram, Kamm; Abdeljawad, Thabet; Baleanu, Dumitru; Baleanu, Dumitru; Köse, Hasan; Ameen, Raad; MatematikIn this paper, we define the Sumudu transform on an arbitrary time scale. Starting from this definition we define the discrete Sumudu transform. We prove the initial and final value problems and study the basic properties of this transform. We also present the discrete Sumudu transform of some basic functions.Article Common fixed point theorems in cone Banach spaces(Hacettepe Univ, FAC Sci, 2011) Abdeljawad, Thabet; Karapınar, Erdal; Taş, Kenan; Tas, Aysegul; Kumar, AnilRecently, E. Karapınar (Fixed Point Theorems in Cone Banach Spaces, Fixed Point Theory Applications, Article ID 609281, 9 pages, 2009) presented some fixed point theorems for self-mappings satisfying certain contraction principles on a cone Banach space. Here we will give some generalizations of this theorem.Article Citation - WoS: 144Citation - Scopus: 158Semi-Analytical Study of Pine Wilt Disease Model With Convex Rate Under Caputo-Febrizio Fractional Order Derivative(Pergamon-elsevier Science Ltd, 2020) Jarad, Fahd; Abdeljawad, Thabet; Shah, Kamal; Alqudah, Manar A.In this paper, we present semi-analytical solution to Pine Wilt disease (PWD) model under the CaputoFabrizio fractional derivative (CFFD). For the proposed solution, we utilize Laplace transform coupled with Adomian decomposition method abbreviated as (LADM). The concerned method is a powerful tool to obtain semi-analytical solution for such type of nonlinear differential equations of fractional order (FODEs) involving non-singular kernel. Furthermore, we give some results for the existence of solution to the proposed model and present numerical results to verify the established analysis. (C) 2020 Elsevier Ltd. All rights reserved.Article Citation - WoS: 26Citation - Scopus: 32On a More General Fractional Integration by Parts Formulae and Applications(Elsevier, 2019) Gomez-Aguilar, J. F.; Jarad, Fahd; Abdeljawad, Thabet; Atangana, AbdonThe integration by part comes from the product rule of classical differentiation and integration. The concept was adapted in fractional differential and integration and has several applications in control theory. However, the formulation in fractional calculus is the classical integral of a fractional derivative of a product of a fractional derivative of a given function f and a function g. We argue that, this formulation could be done using only fractional operators: thus, we develop fractional integration by parts for fractional integrals, Riemann-Liouville, Liouville-Caputo, Caputo-Fabrizio and Atangana-Baleanu fractional derivatives. We allow the left and right fractional integrals of order alpha > 0 to act on the integrated terms instead of the usual integral and then make use of the fractional type Leibniz rules to formulate the integration by parts by means of new generalized type fractional operators with binomial coefficients defined for analytic functions. In the case alpha = 1, our formulae of fractional integration by parts results in previously obtained integration by parts in fractional calculus. The two disciplines or branches of mathematics are built differently, while classical differentiation is built with the concept of rate of change of a given function, a fractional differential operator is a convolution. (C) 2019 Elsevier B.V. All rights reserved.Article Citation - WoS: 2Citation - Scopus: 2Hamiltonian Formulation of Singular Lagrangians on Time Scales(Iop Publishing Ltd, 2008) Jarad, Fahd; Baleanu, Dumitru; Abdeljawad, Thabet; Maraaba, Abdeljawad ThabetThe Hamiltonian formulation of Lagrangian on time scale is investigated and the equivalence of Hamilton and Euler-Lagrange equations is obtained. The role of Lagrange multipliers is discussed.
