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- W4248097254 abstract "This chapter investigates the solution of fuzzy fractional Bagley-Torvik equations using homotopy perturbation method (HPM). It addresses various types of fuzzy fractional Bagley-Torvik equations. It may be noted that fuzzy fractional Bagley-Torvik equation may be reduced to a set of ordinary fractional differential equations by Hukuhara derivative. Involved initial conditions are considered as uncertain and are taken in terms of triangular and trapezoidal fuzzy numbers. In order to show the applicability of the proposed method, the chapter considers a model of motion of a rigid plate immersed in a Newtonian fluid. It presents numerical solutions of linear and nonlinear fuzzy fractional Bagley-Torvik equations using HPM for different cases. The chapter provides few representative results with respect to various parameters involved in the corresponding equation of different cases. The result shows that the HPM is a powerful mathematical tool to solve fuzzy fractional Bagley-Torvik linear and nonlinear differential equations." @default.
- W4248097254 created "2022-05-12" @default.
- W4248097254 date "2016-08-17" @default.
- W4248097254 modified "2023-09-23" @default.
- W4248097254 title "Fuzzy Fractional Bagley-Torvik Equations" @default.
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- W4248097254 doi "https://doi.org/10.1002/9781119004233.ch14" @default.
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