کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
7378800 | 1480129 | 2016 | 19 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Investigation of the cumulative diminution process using the Fibonacci method and fractional calculus
ترجمه فارسی عنوان
بررسی فرآیند کاهش تجمعی با استفاده از روش فیبوناچی و محاسبات کسری
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
فیزیک ریاضی
چکیده انگلیسی
In this study, we investigate the cumulative diminution phenomenon for a physical quantity and a diminution process with a constant acquisition quantity in each step in a viscous medium. We analyze the existence of a dynamical mechanism that underlies the success of fractional calculus âcompared with standard mathematics for describing stochastic processes by âproposing a Fibonacci approach, where we assume that the complex processes evolves cumulatively in fractal space and discrete time. âThus, when the differential-integral order α is attained, this indicates the âinvolvement of the viscosity of the medium âin the evolving process. The future value of the diminishing physical quantity is obtained in terms of the Mittag-Leffler function (MLF) and two rheological laws âare inferred from the asymptotic limits. Thus, we conclude that the differential-integral calculus of fractional mathematics implicitly embodies the cumulative diminution mechanism âthat occurs in a viscous medium.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica A: Statistical Mechanics and its Applications - Volume 444, 15 February 2016, Pages 336-344
Journal: Physica A: Statistical Mechanics and its Applications - Volume 444, 15 February 2016, Pages 336-344
نویسندگان
F. Buyukkilic, Z. Ok Bayrakdar, D. Demirhan,