On the particular solution of constant coefficient fractional differential equations

Manuel Duarte Ortigueira

doi:10.1016/j.amc.2014.07.070

On the particular solution of constant coefficient fractional differential equations

Manuel Duarte Ortigueira

Research output: Contribution to journal › Article

5 Citations (Scopus)

Abstract

The eigenfunction approach to compute the particular solution of constant coefficient ordinary differential equations is extended to the fractional case. It is shown that the expo- nentials are also the eigenfunctions of such equations. Solutions corresponding to products of powers and exponentials are presented. The singular case is studied and a matricial algo- rithm for its implementation is presented.

Original language	English
Pages (from-to)	255-260
Journal	Applied Mathematics and Computation
Volume	245
Issue number	NA
DOIs	https://doi.org/10.1016/j.amc.2014.07.070
Publication status	Published - 19 Aug 2014

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Keywords

Constant coefficient
Eigenfunction
Fractional differential equations
Particular solution
Transfer function

Cite this

Ortigueira, M. D. (2014). On the particular solution of constant coefficient fractional differential equations. Applied Mathematics and Computation, 245(NA), 255-260. https://doi.org/10.1016/j.amc.2014.07.070

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Access to Document

10.1016/j.amc.2014.07.070