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Yazar "Magin, Richard" için Matematik Bölümü Yayın Koleksiyonu listeleme

Yazar "Magin, Richard" için Matematik Bölümü Yayın Koleksiyonu listeleme

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  • Anomalous diffusion expressed through fractional order differential operators in the Bloch-Torrey equation 
    Magin, Richard; Abdullah, Osama; Baleanu, Dumitru; Zhou, Xiaohong Joe (Academic Press INC Elsevier Science, 2008-02)
    Diffusion weighted MRI is used clinically to detect and characterize neurodegenerative, malignant and ischemic diseases. The correlation between developing pathology and localized diffusion relies on d iffusi on -weighted ...
  • Chaos in the fractional order nonlinear Bloch equation with delay 
    Baleanu, Dumitru; Magin, Richard; Bhalekar, Sachin; Daftardar-Gejji, Varsha (Elsevier Science BV, 2015-08)
    The Bloch equation describes the dynamics of nuclear magnetization in the presence of static and time-varying magnetic fields. In this paper we extend a nonlinear model of the Bloch equation to include both fractional ...
  • Fractional Bloch equation with delay 
    Bhalekar, Sachin; Daftardar-Gejji, Varsha; Baleanu, Dumitru; Magin, Richard (Pergamon-Elsevier Science Ltd, 2011-03)
    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 ...
  • Generalized fractional order bloch equation with extended delay 
    Bhalekar, Sachin; Daftardar-Gejji, Varsha; Baleanu, Dumitru; Magin, Richard (World Scientific, 2012-04)
    The fundamental description of relaxation (T-1 and T-2) in nuclear magnetic resonance (NMR) is provided by the Bloch equation, an integer-order ordinary differential equation that interrelates precession of magnetization ...
  • Solving the Fractional Order Bloch Equation 
    Magin, Richard; Feng, Xu; Baleanu, Dumitru (John Wiley&Sons Inc, 2009-01)
    Nuclear magnetic resonance (NMR) is a physical phenomenon widely used in chemistry, medicine, and engineering to study complex materials. NMR is governed by the Bloch equation, which relates a macroscopic model of magnetization ...
  • Transient Chaos in Fractional Bloch Equations 
    Bhalekar, Sachin; Daftardar-Gejji, Varsha; Baleanu, Dumitru; Magin, Richard (Pergamon-Elsevier Science LTD, 2012-11)
    The Bloch equation provides the fundamental description of nuclear magnetic resonance (NMR) and relaxation (T-1 and T-2). This equation is the basis for both NMR spectroscopy and magnetic resonance imaging (MRI). The ...