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Alzabut, Jehad

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Profile URL
https://hdl.handle.net/20.500.12416/9176
Name Variants
Alzabut, J.O.
Alzabut, J. O.
Alzabut, J.
Job Title
Yrd. Doç. Dr.
Email Address
jehad@cankaya.edu.tr
Main Affiliation
02.02. Matematik
Matematik
02. Fen-Edebiyat Fakültesi
01. Çankaya Üniversitesi
Status
Former Staff
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Scopus Author ID
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Google Scholar ID
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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1

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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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4

QUALITY EDUCATION
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11

SUSTAINABLE CITIES AND COMMUNITIES
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6

CLEAN WATER AND SANITATION
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10

REDUCED INEQUALITIES
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9

INDUSTRY, INNOVATION AND INFRASTRUCTURE
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RESPONSIBLE CONSUMPTION AND PRODUCTION
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2

ZERO HUNGER
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NO POVERTY
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AFFORDABLE AND CLEAN ENERGY
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GENDER EQUALITY
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16

PEACE, JUSTICE AND STRONG INSTITUTIONS
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Scholarly Output

31

Articles

28

Views / Downloads

255/7

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0

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WoS Citation Count

1055

Scopus Citation Count

1231

WoS h-index

18

Scopus h-index

19

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WoS Citations per Publication

34.03

Scopus Citations per Publication

39.71

Open Access Source

17

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0

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JournalCount
Advances in Difference Equations6
Journal of Inequalities and Applications3
Mathematical and Computer Modelling3
The European Physical Journal Special Topics2
Chaos, Solitons & Fractals2
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Now showing 1 - 10 of 31
  • Thumbnail Image
    Article
    Citation - WoS: 30
    Citation - Scopus: 31
    Existence, Uniqueness and Stability Analysis of a Coupled Fractional-Order Differential Systems Involving Hadamard Derivatives and Associated With Multi-Point Boundary Conditions
    (Springer, 2021) Baleanu, Dumitru; Samei, Mohammad Esmael; Zada, Akbar; Subramanian, Muthaiah; Alzabut, Jehad
    In this paper, we examine the consequences of existence, uniqueness and stability of a multi-point boundary value problem defined by a system of coupled fractional differential equations involving Hadamard derivatives. To prove the existence and uniqueness, we use the techniques of fixed point theory. Stability of Hyers-Ulam type is also discussed. Furthermore, we investigate variations of the problem in the context of different boundary conditions. The current results are verified by illustrative examples.
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    Article
    Citation - WoS: 28
    Citation - Scopus: 33
    Existence of Periodic Solutions, Global Attractivity and Oscillation of Impulsive Delay Population Model
    (Pergamon-elsevier Science Ltd, 2007) Alzabut, J. O.; Saker, S. H.
    In this paper we consider the nonlinear impulsive delay population model. The main objective is to systematically study the qualitative behavior of the model including existence of periodic solutions, global attractivity and oscillation. The main oscillation results are the results of the prevalence of the mature cells about the periodic solutions and the global attractivity results are the conditions for nonexistence of dynamical diseases on the population. (c) 2006 Elsevier Ltd. All rights reserved.
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    Editorial
    Citation - WoS: 1
    Citation - Scopus: 1
    Recent Developments and Applications on Discrete Fractional Equations and Related Topics
    (Hindawi Ltd, 2013) Alzabut, Jehad; Sun, Shurong; Abdeljawad, Thabet
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    Article
    Citation - WoS: 16
    Citation - Scopus: 17
    Computational Dynamics of a Fractional Order Substance Addictions Transfer Model With Atangana-Baleanu Derivative
    (Wiley, 2023) Baleanu, Dumitru; Panigoro, Hasan S.; Alzabut, Jehad; Balas, Valentina E.; Jose, Sayooj Aby; Ramachandran, Raja
    In this paper, the ABC fractional derivative is used to provide a mathematical model for the dynamic systems of substance addiction. The basic reproduction number is investigated, as well as the equilibrium points' stability. Using fixed point theory and nonlinear analytic techniques, we verify the theoretical results of solution existence and uniqueness for the proposed model. A numerical technique for getting the approximate solution of the suggested model is established by using the Adams type predictor-corrector rule for the ABC-fractional integral operator. There are several numerical graphs that correspond to different fractional orders. Furthermore, we present a numerical simulation for the transmission of substance addiction in two scenarios with fundamental reproduction numbers greater than and fewer than one.
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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: 30
    Citation - Scopus: 33
    On Almost Periodic Solutions for an Impulsive Delay Logarithmic Population Model
    (Pergamon-elsevier Science Ltd, 2010) Sermutlu, E.; Alzabut, J. O.; Stamov, G. Tr.
    By employing the contraction mapping principle and applying the Gronwall-Bellman inequality, sufficient conditions are established to prove the existence and exponential stability of positive almost periodic solutions for an impulsive delay logarithmic population model. An example with its numerical simulations has been provided to demonstrate the feasibility of our results. (C) 2009 Elsevier Ltd. All rights reserved.
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    Article
    Citation - Scopus: 5
    A Necessary and Sufficient Condition for the Existence of Periodic Solutions of Linear Impulsive Differential Equations With Distributed Delay
    (2007) Alzabut, J.O.; Alzabut, Jehad; Matematik
    A necessary and sufficient condition is established for the existence of periodic solutions of linear impulsive differential equations with distributed delay.
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    Article
    Citation - WoS: 7
    Citation - Scopus: 6
    Perron's Theorem for Q-Delay Difference Equations
    (Natural Sciences Publishing Corp-nsp, 2011) Alzabut, Jehad; Alzabut, J. O.; Abdeljawad, T.; Abdeljawad, Thabet; Matematik
    In this paper, we prove that if a linear q-delay difference equation satisfies Perron's condition then its trivial solution is uniformly asymptotically stable.
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    Conference Object
    Piecewise constant control of boundary value problem for linear impulsive differential systems
    (2007) Alzabut, J. O.
    A piecewise constant control that solves the boundary value problem for linear impulsive differential systems is considered. We establish a necessary and sufficient conditions for the existence of such control. Moreover, a result that explicitly characterizes the solving control is presented.
  • Thumbnail Image
    Article
    Citation - WoS: 42
    Citation - Scopus: 50
    On Hyers-Ulam Mittag-Leffler Stability of Discrete Fractional Duffing Equation With Application on Inverted Pendulum
    (Springer, 2020) Baleanu, D.; Alzabut, J.; Vignesh, D.; Abbas, S.; Selvam, A. G. M.
    A human being standing upright with his feet as the pivot is the most popular example of the stabilized inverted pendulum. Achieving stability of the inverted pendulum has become common challenge for engineers. In this paper, we consider an initial value discrete fractional Duffing equation with forcing term. We establish the existence, Hyers-Ulam stability, and Hyers-Ulam Mittag-Leffler stability of solutions for the equation. We consider the inverted pendulum modeled by Duffing equation as an example. The values are tabulated and simulated to show the consistency with theoretical findings.