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Abdeljawad, Thabet

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https://hdl.handle.net/20.500.12416/9096
Name Variants
Abdeljawad, Thabet
Abdeljawad, T.
Job Title
Doç. Dr.
Email Address
thabet@cankaya.edu.tr
Main Affiliation
Matematik
Status
Former Staff
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WoS Researcher ID

Sustainable Development Goals

13

CLIMATE ACTION
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8

DECENT WORK AND ECONOMIC GROWTH
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3

GOOD HEALTH AND WELL-BEING
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15

LIFE ON LAND
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17

PARTNERSHIPS FOR THE GOALS
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14

LIFE BELOW WATER
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QUALITY EDUCATION
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SUSTAINABLE CITIES AND COMMUNITIES
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CLEAN WATER AND SANITATION
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REDUCED INEQUALITIES
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INDUSTRY, INNOVATION AND INFRASTRUCTURE
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RESPONSIBLE CONSUMPTION AND PRODUCTION
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PEACE, JUSTICE AND STRONG INSTITUTIONS
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Scholarly Output

174

Articles

171

Views / Downloads

6355/7854

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0

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WoS Citation Count

10193

Scopus Citation Count

10888

WoS h-index

48

Scopus h-index

54

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WoS Citations per Publication

58.58

Scopus Citations per Publication

62.57

Open Access Source

113

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JournalCount
Advances in Difference Equations31
Chaos, Solitons & Fractals7
Journal of Inequalities and Applications7
Fixed Point Theory and Applications6
Fractals6
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Now showing 1 - 10 of 173
  • Thumbnail Image
    Article
    Citation - WoS: 44
    Citation - Scopus: 66
    Fractional Variational Principles With Delay
    (Iop Publishing Ltd, 2008) Jarad, Fahd; Baleanu, Dumitru; Abdeljawad, Thabet
    The fractional variational principles within Riemann-Liouville fractional derivatives in the presence of delay are analyzed. The corresponding Euler Lagrange equations are obtained and one example is analyzed in detail.
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    Article
    Citation - WoS: 12
    Citation - Scopus: 15
    Variational Principles in the Frame of Certain Generalized Fractional Derivatives
    (Amer inst Mathematical Sciences-aims, 2020) Jarad, Fahd; Abdeljawad, Thabet
    In this article, we study generalized fractional derivatives that contain kernels depending on a function on the space of absolute continuous functions. We generalize the Laplace transform in order to be applicable for the generalized fractional integrals and derivatives and apply this transform to solve some ordinary differential equations in the frame of the fractional derivatives under discussion.
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    Article
    Citation - WoS: 48
    Citation - Scopus: 62
    Solutions of Boundary Value Problems on Extended-Branciari B-Distance
    (Springer, 2020) Panda, Sumati Kumari; Mlaiki, Nabil; Abdeljawad, Thabet; Karapinar, Erdal
    In this paper, we consider a new distance structure, extended Branciari b-distance, to combine and unify several distance notions and obtain fixed point results that cover several existing ones in the corresponding literature. As an application of our obtained result, we present a solution for a fourth-order differential equation boundary value problem.
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    Article
    Citation - WoS: 144
    Citation - Scopus: 158
    Semi-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.
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    Article
    Citation - WoS: 26
    Citation - Scopus: 32
    On a More General Fractional Integration by Parts Formulae and Applications
    (Elsevier, 2019) Gomez-Aguilar, J. F.; Jarad, Fahd; Abdeljawad, Thabet; Atangana, Abdon
    The 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.
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    Article
    Citation - WoS: 2
    Citation - Scopus: 2
    Hamiltonian Formulation of Singular Lagrangians on Time Scales
    (Iop Publishing Ltd, 2008) Jarad, Fahd; Baleanu, Dumitru; Abdeljawad, Thabet
    The 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.
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    Article
    Citation - WoS: 4
    Citation - Scopus: 2
    Locally Convex Valued Rectangular Metric Spaces and the Kannan's Fixed Point Theorem
    (Eudoxus Press, Llc, 2012) Abdeljawad, Thabet; Abdeljawad, Thabet; Turkoglu, Duran; Matematik
    Rectangular TVS-cone metric spaces are introduced and Kannan's fixed point theorem is proved in these spaces. Two approaches are followed for the proof. At first we prove the theorem by a direct method using the structure of the space itself. Secondly, we use the nonlinear scalarization used recently by Wei-Shih Du in [A note on cone metric fixed point theory and its equivalence, Nonlinear Analysis,72(5),2259-2261 (2010).] to prove the equivalence of the Banach contraction principle in cone metric spaces and usual metric spaces. The proof is done without any normality assumption on the cone of the locally convex topological vector space, and hence generalizing several previously obtained results.
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    Article
    Citation - WoS: 17
    Citation - Scopus: 20
    Lyapunov Type Inequalities Via Fractional Proportional Derivatives and Application on the Free Zero Disc of Kilbas-Saigo Generalized Mittag-Leffler Functions
    (Springer Heidelberg, 2019) Alzabut, Jehad; Abdeljawad, Thabet; Jarad, Fahd; Mallak, Saed F.
    .In this article, we prove Lyapunov type inequalities for a nonlocal fractional derivative, called fractional proportional derivative, generated by modified conformable or proportional derivatives in both Riemann-Liuoville and Caputo senses. Further, in the Riemann-Liuoville case we prove a Lyapunov inequality for a fractional proportional weighted boundary value problem and apply it on a weighted Sturm-Liouville problem to estimate an upper bound for the free zero disk of the Kilbas-Saigo Mittag-Leffler functions of three parameters. The proven results generalize and modify previously obtained results in the literature.
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    Article
    Citation - WoS: 10
    Citation - Scopus: 13
    On a New Fixed Point Theorem With an Application on a Coupled System of Fractional Differential Equations
    (Springer, 2020) Abdeljawad, Thabet; Afshari, Hojjat; Jarad, Fahd
    In this work, new theorems and results related to fixed point theory are presented. The results obtained are used for the sake of proving the existence and uniqueness of a positive solution of a coupled system of equations that involves fractional derivatives in the Riemann-Liouville settings and is subject to boundary conditions in the form of integrals.
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    Article
    Citation - WoS: 18
    Citation - Scopus: 20
    Fixed Point Theorems for Multi-Valued Contractions in B-Metric Spaces With Applications To Fractional Differential and Integral Equations
    (Ieee-inst Electrical Electronics Engineers inc, 2019) Sarwar, Muhammad; Jarad, Fahd; Shoaib, Muhammad; Abdeljawad, Thabet
    The aim of this manuscript is to establish common fixed points results for multi-valued mappings via generalized rational type contractions in complete b-metric spaces. Using the derived results, existence of solutions to certain integral equations and fractional differential equations in the frame of Caputo fractional derivative are studied. Examples are provided for the authenticity of the presented work.