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 › peer-review

6 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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10.1016/j.amc.2014.07.070

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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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Y1 - 2014/8/19

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.

AB - 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.

KW - equations

KW - coefficientParticular

KW - solution

KW - Constant

KW - function

KW - Fractional

KW - EigenfunctionTransfer

KW - differential

KW - Constant coefficient

KW - Eigenfunction

KW - Fractional differential equations

KW - Particular solution

KW - Transfer function

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DO - 10.1016/j.amc.2014.07.070

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VL - 245

SP - 255

EP - 260

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

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ER -

On the particular solution of constant coefficient fractional differential equations

Abstract

Keywords

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