ملخص
The partial differential equation of diffusion is generalized by replacing the first order time derivative by a fractional derivative of order α, 0 < α ≤ 2. An approximate solution based on the decomposition method is given for the generalized fractional diffusion (diffusion-wave) equation. The fractional derivative is described in the Caputo sense. Numerical example is given to show the application of the present technique. Results show the transition from a pure diffusion process (α = 1) to a pure wave process (α = 2).
اللغة الأصلية | English |
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الصفحات (من إلى) | 473-483 |
عدد الصفحات | 11 |
دورية | Applied Mathematics and Computation |
مستوى الصوت | 165 |
رقم الإصدار | 2 |
المعرِّفات الرقمية للأشياء | |
حالة النشر | Published - يونيو 15 2005 |
منشور خارجيًا | نعم |
ASJC Scopus subject areas
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