کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
7174588 | 1465328 | 2014 | 7 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Modelling the advancement of the impurities and the melted oxygen concentration within the scope of fractional calculus
ترجمه فارسی عنوان
مدل سازی پیشرفت ناخالصی ها و غلظت اکسیژن ذوب در محدوده حساب کسری
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
مهندسی مکانیک
چکیده انگلیسی
The model describing the mitigation of contamination through ventilation inside a moving waterway polluted via dispersed bases together with connected reduction of liquefied oxygen was investigated within the scope of fractional derivatives. The steady-state cases were investigated using some Caputo derivatives properties. The steady-state solutions in presence and absence of the dispersion were derived in terms of the Mittag-Leffler function. In the case of non-steady state, we derived the solution of the first equation in terms of the α-stable error function via the Laplace transform method. To solve the second equation, we constructed the fractional Green function via the Laplace, Fourier and Mellin transforms. The fractional Green function was expressed by mean of the H-function. Particularly, we presented the selected numerical results a function of distance and α.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: International Journal of Non-Linear Mechanics - Volume 67, December 2014, Pages 278-284
Journal: International Journal of Non-Linear Mechanics - Volume 67, December 2014, Pages 278-284
نویسندگان
Abdon Atangana, Dumitru Baleanu,