کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1895419 | 1533636 | 2016 | 8 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Chaos in a simple nonlinear system with Atangana–Baleanu derivatives with fractional order
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
فیزیک و نجوم
فیزیک آماری و غیرخطی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Chaos in a simple nonlinear system with Atangana–Baleanu derivatives with fractional order Chaos in a simple nonlinear system with Atangana–Baleanu derivatives with fractional order](/preview/png/1895419.png)
چکیده انگلیسی
Recently, Atangana and Baleanu proposed a derivative with fractional order to answer some outstanding questions that were posed by many researchers within the field of fractional calculus. Their derivative has a non-singular and nonlocal kernel. In this paper, we presented further relationship of their derivatives with some integral transform operators. New results are presented. We applied this derivative to a simple nonlinear system. We show in detail the existence and uniqueness of the system solutions of the fractional system. We obtain a chaotic behavior which was not obtained by local derivative.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Chaos, Solitons & Fractals - Volume 89, August 2016, Pages 447–454
Journal: Chaos, Solitons & Fractals - Volume 89, August 2016, Pages 447–454
نویسندگان
Abdon Atangana, Ilknur Koca,