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Abdeljawad, Thabet

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https://hdl.handle.net/20.500.12416/9096
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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

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DECENT WORK AND ECONOMIC GROWTH
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Scholarly Output

174

Articles

171

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6355/7854

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WoS Citation Count

10193

Scopus Citation Count

10888

WoS h-index

48

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54

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WoS Citations per Publication

58.58

Scopus Citations per Publication

62.57

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113

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Now showing 1 - 10 of 173
  • Thumbnail Image
    Article
    On a new class of fractional operators
    (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: 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: 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
    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: 40
    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: 13
    Citation - Scopus: 13
    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
    Citation - WoS: 384
    Citation - Scopus: 399
    Generalized Fractional Derivatives and Laplace Transform
    (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: 1631
    Citation - Scopus: 1853
    On Conformable Fractional Calculus
    (Elsevier Science Bv, 2015) Abdeljawad, Thabet
    Recently, the authors Khalil et al. (2014) introduced a new simple well-behaved definition of the fractional derivative called conformable fractional derivative. In this article we proceed on to develop the definitions there and set the basic concepts in this new simple interesting fractional calculus. The fractional versions of chain rule, exponential functions, Gronwall's inequality, integration by parts, Taylor power series expansions, Laplace transforms and linear differential systems are proposed and discussed. (C) 2014 Elsevier By. All rights reserved.
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    Article
    Citation - WoS: 42
    Citation - Scopus: 41
    The Q-Fractional Analogue for Gronwall-Type Inequality
    (Hindawi Publishing Corporation, 2013) Abdeljawad, Thabet; Alzabut, Jehad O.
    We utilize q-fractional Caputo initial value problems of order 0 < alpha <= 1 to derive a.. -analogue for Gronwall-type inequality. Some particular cases are derived where q-Mittag-Leffler functions and q-exponential type functions are used. An example is given to illustrate the validity of the derived inequality.
  • Thumbnail Image
    Article
    Citation - WoS: 25
    Citation - Scopus: 26
    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.