On the particular solution of constant coefficient fractional differential equations

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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 languageEnglish
Pages (from-to)255-260
JournalApplied Mathematics and Computation
Volume245
Issue numberNA
DOIs
Publication statusPublished - 19 Aug 2014

Keywords

  • Constant coefficient
  • Eigenfunction
  • Fractional differential equations
  • Particular solution
  • Transfer function

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