Analytical Solution of General Bagley-Torvik Equation
Joint Authors
Piqueira, José Roberto Castilho
Labecca, William
Guimarães, Osvaldo
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-4, 4 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-11-23
Country of Publication
Egypt
No. of Pages
4
Main Subjects
Abstract EN
Bagley-Torvik equation appears in viscoelasticity problems where fractional derivatives seem to play an important role concerning empirical data.
There are several works treating this equation by using numerical methods and analytic formulations.
However, the analytical solutions presented in the literature consider particular cases of boundary and initial conditions, with inhomogeneous term often expressed in polynomial form.
Here, by using Laplace transform methodology, the general inhomogeneous case is solved without restrictions in boundary and initial conditions.
The generalized Mittag-Leffler functions with three parameters are used and the solutions presented are expressed in terms of Wiman’s functions and their derivatives.
American Psychological Association (APA)
Labecca, William& Guimarães, Osvaldo& Piqueira, José Roberto Castilho. 2015. Analytical Solution of General Bagley-Torvik Equation. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-4.
https://search.emarefa.net/detail/BIM-1074223
Modern Language Association (MLA)
Labecca, William…[et al.]. Analytical Solution of General Bagley-Torvik Equation. Mathematical Problems in Engineering No. 2015 (2015), pp.1-4.
https://search.emarefa.net/detail/BIM-1074223
American Medical Association (AMA)
Labecca, William& Guimarães, Osvaldo& Piqueira, José Roberto Castilho. Analytical Solution of General Bagley-Torvik Equation. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-4.
https://search.emarefa.net/detail/BIM-1074223
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1074223