کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1901028 | 1045599 | 2013 | 8 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A Fractional Variational Approach to the Fractional Basset-Type Equation
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
فیزیک ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: A Fractional Variational Approach to the Fractional Basset-Type Equation A Fractional Variational Approach to the Fractional Basset-Type Equation](/preview/png/1901028.png)
چکیده انگلیسی
In this paper we discuss an application of fractional variational calculus to the Basset-type fractional equations. It is well known that the unsteady motion of a sphere immersed in a Stokes fluid is described by an integro-differential equation involving derivative of real order. Here we study the inverse problem, i.e. we consider the problem from a Lagrangian point of view in the framework of fractional variational calculus. In this way we find an application of fractional variational methods to a classical physical model, finding a Basset-type fractional equation starting from a Lagrangian depending on derivatives of fractional order.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Reports on Mathematical Physics - Volume 72, Issue 1, August 2013, Pages 57–64
Journal: Reports on Mathematical Physics - Volume 72, Issue 1, August 2013, Pages 57–64
نویسندگان
Dumitru Baleanu, Roberto Garra, Ivo Petras,