کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
767402 | 897176 | 2010 | 9 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
How to impose physically coherent initial conditions to a fractional system?
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موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
مهندسی مکانیک
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: How to impose physically coherent initial conditions to a fractional system? How to impose physically coherent initial conditions to a fractional system?](/preview/png/767402.png)
چکیده انگلیسی
In this paper, it is shown that neither Riemann–Liouville nor Caputo definitions for fractional differentiation can be used to take into account initial conditions in a convenient way from a physical point of view. This demonstration is done on a counter-example. Then the paper proposes a representation for fractional order systems that lead to a physically coherent initialization for the considered systems. This representation involves a classical linear integer system and a system described by a parabolic equation. It is thus also shown that fractional order systems are halfway between these two classes of systems, and are particularly suited for diffusion phenomena modelling.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Communications in Nonlinear Science and Numerical Simulation - Volume 15, Issue 5, May 2010, Pages 1318–1326
Journal: Communications in Nonlinear Science and Numerical Simulation - Volume 15, Issue 5, May 2010, Pages 1318–1326
نویسندگان
Jocelyn Sabatier, Mathieu Merveillaut, Rachid Malti, Alain Oustaloup,