کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4637345 1340739 2006 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Nonlinear reaction with fractional dynamics
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Nonlinear reaction with fractional dynamics
چکیده انگلیسی

In this paper, we consider a system of three fractional differential equations describing a nonlinear reaction. Our analysis includes both analytical technique and numerical simulation. This allows us to control the efficiency of the numerical method. We combine the numerical approximation of fractional integral with finding zeros of a function of one variable. The variable gives a desired solution. The solution has a peak. Its position in time depends on the order of fractional derivative. The two other solutions of this system have a completely monotonic character.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 174, Issue 2, 15 March 2006, Pages 1122–1134
نویسندگان
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