Scopus İndeksli Yayınlar Koleksiyonu

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

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  • Conference Object
    Citation - WoS: 2
    Citation - Scopus: 2
    Difference Discrete Variational Principles
    (Amer inst Physics, 2006) Baleanu, Dumitru; Jarad, Fahd
    The paper provides the discrete Lagrangian and Hamiltonian formulations of mechanical systems for both non-singular and singular cases. The Lagrangians with linear velocities and with higher velocities are investigated and the corresponding difference Euler-Lagrange equations and Hamiltonians are found.
  • Article
    Citation - WoS: 79
    Citation - Scopus: 94
    Existence and Uniqueness Theorem for a Class of Delay Differential Equations With Left and Right Caputo Fractional Derivatives
    (Amer inst Physics, 2008) Abdeljawad, Thabet; Baleanu, Dumitru; Jarad, Fahd; Maraaba, Thabet
    The existence and uniqueness theorems for functional right-left delay. and left-right advanced fractional functional differential equations with bounded delay and advance, respectively, are proved. The continuity with respect to the initial function for these equations is also proved under some Lipschitz kind conditions. The Q-operator is used to transform the delay-type equation to an advanced one and vice versa. An example is given to clarify the results. (C) 2008 American Institute Of Physics.
  • Article
    Citation - WoS: 81
    Citation - Scopus: 91
    Existence Theory and Numerical Solutions To Smoking Model Under Caputo-Fabrizio Fractional Derivative
    (Amer inst Physics, 2019) Shah, Kamal; Zaman, Gul; Jarad, Fahd; Khan, Sajjad Ali
    In this paper, taking fractional derivative due to Caputo and Fabrizo, we have investigated a biological model of smoking type. By using Sumudu transform and Picard successive iterative technique, we develop the iterative solutions for the considered model. Furthermore, some results related to uniqueness of the equilibrium solution and its stability are discussed utilizing the techniques of nonlinear functional analysis. The dynamics of iterative solutions for various compartments of the model are plotted with the help of Matlab. Published under license by AIP Publishing.