کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5499718 | 1533623 | 2017 | 10 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Hyperchaotic behaviour obtained via a nonlocal operator with exponential decay and Mittag-Leffler laws
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
فیزیک و نجوم
فیزیک آماری و غیرخطی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
The nature is very complex to model with mathematical equations. Some physical problems found in nature could follow the power law; other could follow the Mittag-Leffler law and other the exponential decay law. On the other hand one could observe in nature a physical problem that combines both, it is therefore important to provide a new fractional operator that could possibly be used to model such physical problem. In this paper, we suggest a fractional operator exponential-Mittag-Leffler kernel with two fractional orders. Some very useful properties are obtained. Numerical solutions were obtained for three examples proposed.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Chaos, Solitons & Fractals - Volume 102, September 2017, Pages 285-294
Journal: Chaos, Solitons & Fractals - Volume 102, September 2017, Pages 285-294
نویسندگان
Abdon Atangana, J.F. Gómez-Aguilar,