In this paper, a numerical method for solving the fractional Bagley–Torvik equation is given. This method is based on using fractional Taylor vector approximation. The operational matrix of the fractional integration for fractional Taylor vector is given and is utilized to reduce the solution of the Bagley–Torvik equation to a system of algebraic equations. Illustrative examples are included to demonstrate the validity and applicability of this technique.
The Numerical Solution of the Bagley–Torvik Equation With Fractional Taylor Method
Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS. Manuscript received August 26, 2015; final manuscript received December 25, 2015; published online February 3, 2016. Assoc. Editor: Hiroshi Yabuno.
Krishnasamy, V. S., and Razzaghi, M. (February 3, 2016). "The Numerical Solution of the Bagley–Torvik Equation With Fractional Taylor Method." ASME. J. Comput. Nonlinear Dynam. September 2016; 11(5): 051010. https://doi.org/10.1115/1.4032390
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