Scopus İndeksli Yayınlar Koleksiyonu

Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8651

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Access Right: Closed AccessAuthor: search.filters.author.Jarad, F.

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Now showing 1 - 7 of 7
  • Article
    Citation - Scopus: 7
    On the Discrete Laplace Transform
    (Cankaya University, 2019) Ameen, R.; Jarad, Fahd; Köse, H.; Jarad, F.; Matematik
    The objective of this paper is to introduce the discrete Laplace transform. Basic theorems related to this transformation are mentioned and the discrete Laplace transform of basic functions are given. © 2019, Cankaya University. All rights reserved.
  • Article
    Citation - Scopus: 5
    Chaos in New 2-D Discrete Mapping and Its Application in Optimization
    (InforMath Publishing Group, 2020) Bououden, R.; Jarad, Fahd; Abdelouahab, M.S.; Jarad, F.; Matematik
    In this paper, we propose a new map which is a combination of the Hénon and Lozi maps. We analyze the proposed map numerically and with the aid of bifurcation plots. On the other hand, and as an example of application of this new map, we are going to use it in the chaotic optimisation algorithm. To prove the efficiency of this map, we use numerical results thorought the paper. © 2020 InforMath Publishing Group
  • Editorial
    A Special Issue in Honor of the 55th Birthday of Dumitru Baleanu
    (Cankaya University, 2019) Jarad, F.; Jarad, Fahd; Matematik
  • Article
    Citation - Scopus: 9
    A Dynamical and Sensitivity Analysis of the Caputo Fractional-Order Ebola Virus Model: Implications for Control Measures
    (Thammasat University, 2023) Ahmed, I.; Jarad, Fahd; Yusuf, A.; Tariboon, J.; Muhammad, M.; Jarad, F.; Mikailu, B.B.; Matematik
    The recurrence of outbreaks in cases of Ebola virus among African countries remains one of the greatest issues of concern. Practices such as hunting or consumption of contam-inated bush meat, unsafe funeral practices, and environmental contamination have all been implicated as possible contributors. This paper investigates the transmission dynamics of the Ebola virus model in the setting of a Caputo fractional-order derivative that accounts for both direct and indirect transmissions of the virus. By employing the concept of fixed theorems, we derived the existence and uniqueness results of the model. Moreover, we analyzed the forward normalized sensitivity indices to identify the critical parameters for controlling the infection and found that reducing the contact rate between infected individuals and susceptible vectors is vital to limiting the virus’s spread. Comparing the proposed fractional-order model with those of the previously developed integer-order model numerically, we found that the proposed model provides more reliable information on the model’s dynamics. Thus, we conclude that the Caputo fractional-order operator is a precise tool for describing the proposed model behavior and can help understand the complexities of Ebola virus disease outbreaks. © 2023, Thammasat University. All rights reserved.
  • Book Part
    Strange Chaotic Attractors and Existence Results Via Nonlinear Fractional Order Systems and Fixed Points
    (Springer, 2024) Panda, S.K.; Vijayakumar, V.; Gopinadh, B.S.; Jarad, F.
    An analog of Meir-Keeler’s fixed point result in suprametric space is proved in this paper, and application to strange attractors in the context of the Atangana-Baleanu derivative is discussed. © The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2024.
  • Book Part
    Citation - Scopus: 3
    On Mittag-Leffler Kernel-Dependent Fractional Operators With Variable Order
    (Springer International Publishing, 2019) Jarad, F.; Bahaa, G.M.; Abdeljawad, T.
    In this work, integration by parts formulas for variable-order fractional operators with Mittag-Leffler kernels are presented and applied to study constrained fractional variational principles involving variable-order Caputo-type Atangana–Baleanu’s derivatives, where the variable-order fractional Euler–Lagrange equations are investigated. A general formulation of fractional Optimal Control Problems (FOCPs) and a solution scheme for such class of systems are proposed. The performance index of a FOCP is taken into consideration as function of state as well as control variables. © 2019, Springer Nature Singapore Pte Ltd.
  • Article
    Citation - WoS: 8
    Citation - Scopus: 9
    A Novel Fractional Piecewise Linear Map: Regular and Chaotic Dynamics
    (Taylor & Francis Ltd, 2021) Abdelouahab, M. S.; Jarad, F.; Hammouch, Z.; Bououden, R.
    In this paper, a new piecewise linear map of the plan and its fractional version deduced from the Lozi map is introduced and analysed. The main attention is paid to the study of fixed points and their stability, cycles of period two and their stability regions and the type of bifurcation that occur in the dynamical behaviours of this map. The routes to chaos and some chaotic attractors that exist in the behaviour of the integer map are discussed. Finally, the chaotic behaviour of the associated proposed fractional map is analysed by means of bifurcations diagrams.