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

Access to Document

10.1016/j.amc.2014.07.070

Fingerprint Dive into the research topics of 'On the particular solution of constant coefficient fractional differential equations'. Together they form a unique fingerprint.

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

@article{e76af3dc5f6b434fbb5bc0976d63f045,

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.",

keywords = "equations, coefficientParticular, solution, Constant, function, Fractional, EigenfunctionTransfer, differential, Constant coefficient, Eigenfunction, Fractional differential equations, Particular solution, Transfer function",

author = "Ortigueira, {Manuel Duarte}",

note = "This work was partially funded by National Funds through the Foundation for Science and Technology of Portugal.",

year = "2014",

month = "8",

day = "19",

doi = "10.1016/j.amc.2014.07.070",

language = "English",

volume = "245",

pages = "255--260",

journal = "Applied Mathematics and Computation",

number = "NA",

}

TY - JOUR

T1 - On the particular solution of constant coefficient fractional differential equations

AU - Ortigueira, Manuel Duarte

N1 - This work was partially funded by National Funds through the Foundation for Science and Technology of Portugal.

PY - 2014/8/19

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

U2 - 10.1016/j.amc.2014.07.070

DO - 10.1016/j.amc.2014.07.070

M3 - Article

VL - 245

SP - 255

EP - 260

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

IS - NA

ER -