Matematik Bölümü Yayın Koleksiyonu

Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/413

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Author: search.filters.author.Jarad, FahdWoS Q: search.filters.wosQuartile.Q3

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Now showing 1 - 10 of 16
  • Article
    Citation - WoS: 38
    Citation - Scopus: 39
    On the Mittag-Leffler Stability of Q-Fractional Nonlinear Dynamical Systems
    (Editura Acad Romane, 2011) Jarad, Fahd; Jarad, Fahd; Abdeljawad, Thabet; Abdeljawad, Thabet; Gundogdu, Emrah; Baleanu, Dumitru; Baleanu, Dumitru; Matematik
    In this article, analogous to the definition of the exponential stability of ordinary dynamical systems and the Mittag-Leffler stability of the fractional dynamical systems, we consider the Mittag-Leffler stability for q-fractional nonlinear dynamical systems. The sufficient conditions for Mittag-Leffler stability of such dynamical systems within the framework of the q-fractional Caputo derivative are studied.
  • Article
    Citation - WoS: 9
    Non-Polynomial Third Order Equations Which Pass the Painleve Test
    (Walter de Gruyter Gmbh, 2004) Mugan, U; Jarad, Fahd; Jarad, F; Matematik
    The singular point analysis of third-order ordinary differential equations in the non-polynomial class is presented. Some new third order ordinary differential equations which pass the Painleve test, as well as the known ones are found.
  • Article
    Citation - Scopus: 2
    Quadruple Best Proximity Points With Applications To Functional and Integral Equations
    (Wiley, 2022) Rashwan, Rashwan A.; Nafea, A.; Jarad, Fahd; Hammad, Hasanen A.
    This manuscript is devoted to obtaining a quadruple best proximity point for a cyclic contraction mapping in the setting of ordinary metric spaces. The validity of the theoretical results is also discussed in uniformly convex Banach spaces. Furthermore, some examples are given to strengthen our study. Also, under suitable conditions, some quadruple fixed point results are presented. Finally, as applications, the existence and uniqueness of a solution to a system of functional and integral equations are obtained to promote our paper.
  • 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.
  • Review
    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.
  • Article
    Citation - WoS: 86
    Qualitative Analysis of a Mathematical Model in the Time of Covid-19
    (Hindawi Ltd, 2020) Mahariq, Ibrahim; Jarad, Fahd; Shah, Kamal; Abdeljawad, Thabet
    In this article, a qualitative analysis of the mathematical model of novel corona virus named COVID-19 under nonsingular derivative of fractional order is considered. The concerned model is composed of two compartments, namely, healthy and infected. Under the new nonsingular derivative, we, first of all, establish some sufficient conditions for existence and uniqueness of solution to the model under consideration. Because of the dynamics of the phenomenon when described by a mathematical model, its existence must be guaranteed. Therefore, via using the classical fixed point theory, we establish the required results. Also, we present the results of stability of Ulam's type by using the tools of nonlinear analysis. For the semianalytical results, we extend the usual Laplace transform coupled with Adomian decomposition method to obtain the approximate solutions for the corresponding compartments of the considered model. Finally, in order to support our study, graphical interpretations are provided to illustrate the results by using some numerical values for the corresponding parameters of the model.
  • Article
    Citation - Scopus: 4
    Nonlinear singular p-Laplacian boundary value problems in the frame of conformable derivative
    (American Institute of Mathematical Sciences, 2021) Bouloudene, Mokhtar; Alqudah, Manar A.; Jarad, Fahd; Adjabi, Yassine; Abdeljawad, Thabet
    This paper studies a class of fourth point singular boundary value problem of p-Laplacian operator in the setting of a specific kind of conformable derivatives. By using the upper and lower solutions method and fixed point theorems on cones., necessary and sufficient conditions for the existence of positive solutions are obtained. In addition, we investigate the dependence of the solution on the order of the conformable differential equation and on the initial conditions. © 2021 American Institute of Mathematical Sciences. All rights reserved.
  • Article
    Identification of Composite-Metal Bolted Structures With Nonlinear Contact Effect
    (Tech Science Press, 2022) Mahariq, Ibrahim; Pourghasem, Majid; Mulki, Hasan; Jarad, Fahd; Ghalandari, Mohammad
    The middle layer model has been used in recent years to better describe the connection behavior in composite structures. The influencing parameters including low pre-screw and high preload have the main effects on nonlinear behavior of the connection as well as the amplitude of the excitation force applied to the structure. Therefore, in this study, the effects of connection behavior on the general structure in two sections of increasing damping and reducing the stiffness of the structures that lead to non-linear phenomena have been investigated. Due to the fact that in composite structure we are faced to the limitation of increasing screw preload which tend to structural damage, so the investigation on the hybrid connection (metal-composite) behavior is conducted. In this research, using the two-dimensional middle layer theory, the stiffness properties of the connection are modeled by normal stiffness and the connection damping is modeled using the structural damping in the shear direction. Nonlinear frequency response diagrams have been extracted twice for two different excitation forces and then proposed by a high-order multitasking approximation according to the response range of the nonlinear finite element model for stiffness and damping of the connection. The effect of increasing the amplitude of the excitation force and decreasing the preload of the screw on the nonlinear behavior of the component has been extracted. The results show that the limited presented novel component model has been accurately verified on the model obtained from the vibration experimental test and the reduction of nonlinear model updating based on that is represented. The comparison results show good agreement with a maximum of 1.33% error.
  • Article
    Citation - WoS: 390
    Citation - Scopus: 406
    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.
  • Article
    Citation - WoS: 34
    Citation - Scopus: 35
    Existence and Stability Results To a Class of Fractional Random Implicit Differential Equations Involving a Generalized Hilfer Fractional Derivative
    (Amer inst Mathematical Sciences-aims, 2020) Harikrishnan, Sugumaran; Shah, Kamal; Kanagarajan, Kuppusamy; Jarad, Fahd
    In this paper, the existence, uniqueness and stability of random implicit fractional differential equations (RIFDs) with nonlocal condition and impulsive effect involving a generalized Hilfer fractional derivative (HFD) are discussed. The arguments are discussed via Krasnoselskii's fixed point theorems, Schaefer's fixed point theorems, Banach contraction principle and Ulam type stability. Some examples are included to ensure the abstract results.