کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4635808 1340715 2007 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Fractional differential equations as alternative models to nonlinear differential equations
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Fractional differential equations as alternative models to nonlinear differential equations
چکیده انگلیسی

The main objective of this paper is to demonstrate the possibility of using fractional differential equations to simulate the dynamics of anomalous processes whose analytical representations are continuous but strongly not differentiable, like Weierstrass-type functions. This allows for the possibility of modeling phenomena which traditional differential modeling cannot accomplish. To this end we shall see how some functions of this kind have a fractional derivative at every point in a real interval, and are therefore solutions to fractional differential equations.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 187, Issue 1, 1 April 2007, Pages 79–88
نویسندگان
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