کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
7374748 1480065 2018 17 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Fractional discrete-time diffusion equation with uncertainty: Applications of fuzzy discrete fractional calculus
ترجمه فارسی عنوان
معادله دیفرانسیل-تفکیک جزئی با عدم قطعیت: کاربردی از محاسبات کسری گسسته فازی
کلمات کلیدی
معادلات اختلاف معادلات، توابع ارزش فازی، مقیاس زمان،
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات فیزیک ریاضی
چکیده انگلیسی
This study provides some basics of fuzzy discrete fractional calculus as well as applications to fuzzy fractional discrete-time equations. With theories of r-cut set, fuzzy Caputo and Riemann-Liouville fractional differences are defined on a isolated time scale. Discrete Leibniz integral law is given by use of w-monotonicity conditions. Furthermore, equivalent fractional sum equations are established. Fuzzy discrete Mittag-Leffler functions are obtained by the Picard approximation. Finally, fractional discrete-time diffusion equations with uncertainty is investigated and exact solutions are expressed in form of two kinds of fuzzy discrete Mittag-Leffler functions. This paper suggests a discrete time tool for modeling discrete fractional systems with uncertainty.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica A: Statistical Mechanics and its Applications - Volume 508, 15 October 2018, Pages 166-175
نویسندگان
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