Scopus İndeksli Yayınlar Koleksiyonu

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

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  • Article
    Citation - WoS: 35
    Citation - Scopus: 35
    On Existence of a Globally Attractive Periodic Solution of Impulsive Delay Logarithmic Population Model
    (Elsevier Science inc, 2008) Alzabut, Jehad O.; Abdeljawad, Thabet
    In this paper, it is shown that a logarithmic population model which is governed by impulsive delay differential equation has a globally attractive periodic solution. (c) 2007 Elsevier Inc. All rights reserved.
  • Article
    Citation - WoS: 33
    Citation - Scopus: 40
    Higher Order Fractional Variational Optimal Control Problems With Delayed Arguments
    (Elsevier Science inc, 2012) Jarad, Fahd; Abdeljawad (Maraaba), Thabet; Baleanu, Dumitru; Abdeljawad , Thabet
    This article deals with higher order Caputo fractional variational problems in the presence of delay in the state variables and their integer higher order derivatives. (C) 2012 Elsevier Inc. All rights reserved.
  • Article
    Citation - WoS: 108
    Citation - Scopus: 123
    Fractional Bloch Equation With Delay
    (Pergamon-elsevier Science Ltd, 2011) Daftardar-Gejji, Varsha; Baleanu, Dumitru; Magin, Richard; Bhalekar, Sachin
    In this paper we investigate a fractional generalization of the Bloch equation that includes both fractional derivatives and time delays. The appearance of the fractional derivative on the left side of the Bloch equation encodes a degree of system memory in the dynamic model for magnetization. The introduction of a time delay on the right side of the equation balances the equation by also adding a degree of system memory on the right side of the equation. The analysis of this system shows different stability behavior for the T-1 and the T-2 relaxation processes. The T-1 decay is stable for the range of delays tested (1-100 mu s), while the T-2 relaxation in this model exhibited a critical delay (typically 6 mu s) above which the system was unstable. Delays are expected to appear in NMR systems, in both the system model and in the signal excitation and detection processes. Therefore, by including both the fractional derivative and finite time delays in the Bloch equation, we believe that we have established a more complete and more realistic model for NMR resonance and relaxation. (C) 2011 Elsevier Ltd. All rights reserved.
  • Article
    Citation - WoS: 48
    Citation - Scopus: 57
    Fractional Variational Optimal Control Problems With Delayed Arguments
    (Springer, 2010) Jarad, Fahd; Abdeljawad, Thabet; Baleanu, Dumitru
    The paper deals with optimal control problems in the presence of delay in the state variables as well as the presence of the Riemann-Liouville fractional derivatives of the state variables. One example is analyzed in detail.