Analytical Solution of General Bagley-Torvik Equation
نویسندگان
چکیده
منابع مشابه
Numerical solution of the Bagley Torvik equation
We consider the numerical solution of the Bagley-Torvik equation Ay′′(t) + BD ∗ y(t) + Cy(t) = f(t) as a prototype fractional differential equation with two derivatives. Approximate solutions have recently been proposed in the book and papers of Podlubny in which the solution obtained with approximate methods is compared to the exact solution. In this paper we consider the reformulation of the ...
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Fractional calculus is a natural extension of the integer order calculus and recently, a large number of applied problems have been formulated on fractional di¤erential equations. Analytical solution of many applications, where the fractional di¤erential equations appear, cannot be established. Therefore, cubic polynomial spline function is considered to nd approximate solution for fractional ...
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متن کاملa unique continuous solution for the bagley-torvik equation
in this paper the bagley-torvik equation as a prototype fractional differential equation with two derivatives is investigated by means of homotopy perturbation method. the results reveal that the present method is very effective and accurate.
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ژورنال
عنوان ژورنال: Mathematical Problems in Engineering
سال: 2015
ISSN: 1024-123X,1563-5147
DOI: 10.1155/2015/591715