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 |
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Pages (from-to) | 255-260 |
Journal | Applied Mathematics and Computation |
Volume | 245 |
Issue number | NA |
DOIs | |
Publication status | Published - 19 Aug 2014 |
Keywords
- Constant coefficient
- Eigenfunction
- Fractional differential equations
- Particular solution
- Transfer function