A new method for the solution of linear constant coefficient fractional differential equations of any commensurate order based on the Laplace transforms of the fractional meta-trigonometric functions and the R-function is presented. The new method simplifies the solution of such equations. A simplifying characterization that reduces the number of parameters in the fractional meta-trigonometric functions is introduced.
- Design Engineering Division and Computers and Information in Engineering Division
The Solution of Linear Fractional Differential Equations Using the Fractional Meta-Trigonometric Functions
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Lorenzo, CF, Malti, R, & Hartley, TT. "The Solution of Linear Fractional Differential Equations Using the Fractional Meta-Trigonometric Functions." Proceedings of the ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. Volume 3: 2011 ASME/IEEE International Conference on Mechatronic and Embedded Systems and Applications, Parts A and B. Washington, DC, USA. August 28–31, 2011. pp. 155-161. ASME. https://doi.org/10.1115/DETC2011-47395
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