| Title |
An operator-based approach for the construction of closed-form solutions to fractional differential equations / |
| Authors |
Navickas, Zenonas ; Telksnys, Tadas ; Timofejeva, Inga ; Marcinkevičius, Romas ; Ragulskis, Minvydas Kazys |
| DOI |
10.3846/mma.2018.040 |
| Full Text |
|
| Is Part of |
Mathematical modelling and analysis.. Vilnius : Technika. 2018, vol. 23, iss. 4, p. 665-685.. ISSN 1392-6292. eISSN 1648-3510 |
| Keywords [eng] |
analytical solution ; closed-form solution ; fractional differential equation ; operator calculus |
| Abstract [eng] |
An operator-based approach for the construction of closed-form solutions to fractional differential equations is presented in this paper. The technique is based on the analysis of Caputo and Riemann-Liouville algebras of fractional power series. Explicit solutions to a class of linear fractional differential equations are obtained in terms of Mittag-Leffler and fractionally-integrated exponential functions in order to demonstrate the viability of the proposed technique. |
| Published |
Vilnius : Technika |
| Type |
Journal article |
| Language |
English |
| Publication date |
2018 |
