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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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Scopus Author ID
Turkish CoHE Profile ID
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WoS Researcher ID

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SUSTAINABLE CITIES AND COMMUNITIES
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GOOD HEALTH AND WELL-BEING
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6

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9

INDUSTRY, INNOVATION AND INFRASTRUCTURE
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CLEAN WATER AND SANITATION
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LIFE BELOW WATER
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RESPONSIBLE CONSUMPTION AND PRODUCTION
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DECENT WORK AND ECONOMIC GROWTH
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NO POVERTY
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QUALITY EDUCATION
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GENDER EQUALITY
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REDUCED INEQUALITIES
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PEACE, JUSTICE AND STRONG INSTITUTIONS
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Scholarly Output

179

Articles

176

Views / Downloads

7159/8804

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0

Supervised PhD Theses

0

WoS Citation Count

10297

Scopus Citation Count

11008

WoS h-index

48

Scopus h-index

54

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0

WoS Citations per Publication

57.53

Scopus Citations per Publication

61.50

Open Access Source

116

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0

JournalCount
Advances in Difference Equations31
Journal of Computational Analysis and Applications10
Chaos, Solitons & Fractals7
Journal of Inequalities and Applications7
Fractals6
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Now showing 1 - 10 of 178
  • Thumbnail Image
    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: 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: 8
    Citation - Scopus: 15
    Computation of Iterative Solutions Along With Stability Analysis To a Coupled System of Fractional Order Differential Equations
    (Springeropen, 2019) Abdeljawad, Thabet; Shah, Kamal; Jarad, Fahd; Arif, Muhammad; Ali, Sajjad
    In this research article, we investigate sufficient results for the existence, uniqueness and stability analysis of iterative solutions to a coupled system of the nonlinear fractional differential equations (FDEs) with highier order boundary conditions. The foundation of these sufficient techniques is a combination of the scheme of lower and upper solutions together with the method of monotone iterative technique. With the help of the proposed procedure, the convergence criteria for extremal solutions are smoothly achieved. Furthermore, a major aspect is devoted to the investigation of Ulam-Hyers type stability analysis which is also established. For the verification of our work, we provide some suitable examples along with their graphical represntation and errors estimates.
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    Article
    Citation - WoS: 1
    Citation - Scopus: 1
    No-Regret and Low-Regret Control for a Weakly Coupled Abstract Hyperbolic System
    (Wiley, 2025) Louafi, Meriem; Messaoudi, Mohammed; Abdeljawad, Thabet; Jarad, Fahd
    This paper explores an optimal control problem of weakly coupled abstract hyperbolic systems with missing initial data. Hyperbolic systems, known for their wave-like phenomena and complexity, become even more challenging with weak coupling between subsystems. The study introduces no-regret and low-regret control strategies to handle missing information and achieve optimal performance. By deriving the Euler-Lagrange optimality system, it characterizes these control approaches in the context of weak coupling. Additionally, the paper establishes the existence and uniqueness of a no-regret and low-regret control, emphasizing the influence of uncertain coupling parameters. These findings are optimal control strategies for abstract weakly coupled hyperbolic systems under uncertainty. Finally, as highlighted in our conclusion, future research could explore integrating memory effects through fractional derivatives to improve the modeling of viscoelasticity, diffusion with memory, and wave damping.
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    Article
    Citation - WoS: 41
    Citation - Scopus: 46
    Existence of Positive Solutions for Weighted Fractional Order Differential Equations
    (Pergamon-elsevier Science Ltd, 2020) Ali, Saeed M.; Shah, Kamal; Jarad, Fahd; Abdo, Mohammed S.; Abdeljawad, Thabet
    In this paper, we deliberate two classes of initial value problems for nonlinear fractional differential equations under a version weighted generalized of Caputo fractional derivative given by Jarad et al. (2020a) [25]. We get a formula for the solution through the equivalent fractional integral equations to the proposed problems. The existence and uniqueness of positive solutions have been obtained by using lower and upper solutions. The acquired results are demonstrated by building the upper and lower control functions of the nonlinear term with the aid of Banach and Schauder fixed point theorems. The acquired results are demonstrated by pertinent numerical examples along with the Bashforth Moulton prediction correction scheme and Matlab. (C) 2020 Elsevier Ltd. All rights reserved.
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    Article
    Citation - WoS: 14
    Citation - Scopus: 14
    Boundary Value Problem of Weighted Fractional Derivative of a Function With a Respect To Another Function of Variable Order
    (Springer, 2023) Jarad, Fahd; Alqudah, Manar A.; Abdeljawad, Thabet; Benia, Kheireddine; Souid, Mohammed Said
    This study aims to resolve weighted fractional operators of variable order in specific spaces. We establish an investigation on a boundary value problem of weighted fractional derivative of one function with respect to another variable order function. It is essential to keep in mind that the symmetry of a transformation for differential equations is connected to local solvability, which is synonymous with the existence of solutions. As a consequence, existence requirements for weighted fractional derivative of a function with respect to another function of constant order are necessary. Moreover, the stability with in Ulam-Hyers-Rassias sense is reviewed. The outcomes are derived using the Kuratowski measure of non-compactness. A model illustrates the trustworthiness of the observed results.
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    Article
    On a new class of fractional operators
    (Springeropen, 2017) Jarad, Fahd; Uğurlu, Ekin; Abdeljawad, Thabet; Baleanu, Dumitru
    This manuscript is based on the standard fractional calculus iteration procedure on conformable derivatives. We introduce new fractional integration and differentiation operators. We define spaces and present some theorems related to these operators.
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    Article
    Citation - WoS: 19
    Citation - Scopus: 29
    Common Fixed Points of Generalized Meir-Keeler Α-Contractions
    (Springer int Publ Ag, 2013) Abdeljawad, Thabet; Gopal, Dhananjay; Patel, Deepesh Kumar
    Motivated by Abdeljawad (Fixed Point Theory Appl. 2013:19, 2013), we establish some common fixed point theorems for three and four self-mappings satisfying generalized Meir-Keeler alpha-contraction in metric spaces. As a consequence, the results of Rao and Rao (Indian J. Pure Appl. Math. 16(1):1249-1262, 1985), Jungck (Int. J. Math. Math. Sci. 9(4):771-779, 1986), and Abdeljawad itself are generalized, extended and improved. Sufficient examples are given to support our main results.
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    Article
    Citation - WoS: 27
    Citation - Scopus: 28
    On Dynamic Systems in the Frame of Singular Function Dependent Kernel Fractional Derivatives
    (Mdpi, 2019) Jarad, Fahd; Sene, Ndolane; Abdeljawad, Thabet; Madjidi, Fadila
    In this article, we discuss the existence and uniqueness theorem for differential equations in the frame of Caputo fractional derivatives with a singular function dependent kernel. We discuss the Mittag-Leffler bounds of these solutions. Using successive approximation, we find a formula for the solution of a special case. Then, using a modified Laplace transform and the Lyapunov direct method, we prove the Mittag-Leffler stability of the considered system.
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    Article
    Citation - Scopus: 5
    A Frational Finite Differene Inclusion
    (Eudoxus Press, LLC, 2016) Baleanu, D.; Abdeljawad, Thabet; Rezapour, S.; Baleanu, Dumitru; Salehi, S.; Matematik
    In this manuscript, we investigated the fractional finite difference inclusion (formula presented) via the boundary conditions Δx(b+μ)=A and x(μ-2)=B, where 1 < μ ≤ 2, A, B ε ℝ. and (formula presented) is a compact valued multifunction. © 2016 by Eudoxus Press, LLC, All rights reserved.