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

Keywords

Constant coefficient
Eigenfunction
Fractional differential equations
Particular solution
Transfer function

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title = "On the particular solution of constant coefficient fractional differential equations",

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.",

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N2 - 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.

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KW - Particular solution

KW - Transfer function

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