کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
8901620 | 1631945 | 2019 | 26 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A new modified definition of Caputo-Fabrizio fractional-order derivative and their applications to the Multi Step Homotopy Analysis Method (MHAM)
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
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چکیده انگلیسی
In this paper, we present a new definition of fractional-order derivative with a smooth kernel based on the Caputo-Fabrizio fractional-order operator which takes into account some problems related with the conventional Caputo-Fabrizio factional-order derivative definition. The Modified-Caputo-Fabrizio fractional-order derivative here introduced presents some advantages when some approximated analytical methods are applied to solve non-linear fractional differential equations. We consider two approximated analytical methods to find analytical solutions for this novel operator; the homotopy analysis method (HAM) and the multi step homotopy analysis method (MHAM). The results obtained suggest that the introduction of the Modified-Caputo-Fabrizio fractional-order derivative can be applied in the future to many different scenarios in fractional dynamics.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 346, 15 January 2019, Pages 247-260
Journal: Journal of Computational and Applied Mathematics - Volume 346, 15 January 2019, Pages 247-260
نویسندگان
H. Yépez-MartÃnez, J.F. Gómez-Aguilar,