| Title |
The fractal structure of analytical solutions to fractional Riccati equation / |
| Authors |
Navickas, Zenonas ; Telksnys, Tadas ; Telksniene, Inga ; Marcinkevicius, Romas ; Ragulskis, Minvydas |
| DOI |
10.1142/S0218348X23401308 |
| Full Text |
|
| Is Part of |
Fractals.. Singapore : World scientific. 2024, vol. 23, iss. 4, art. no. 2340130, p. 1-9.. ISSN 0218-348X. eISSN 1793-6543 |
| Keywords [eng] |
analytical solution ; fractional differential equation ; operator calculus |
| Abstract [eng] |
Analytical solutions to the fractional Riccati equation are considered in this paper. Solutions to fractional differential equations are expressed in the form of fractional power series in the Caputo algebra. It is demonstrated that solutions to higher-order Riccati fractional equations inherit some solutions from lower-order Riccati equations under special initial conditions. Such nested and fractal-like structure of solutions is investigated by means of analytical fractional differentiation operator techniques and computational experiments. |
| Published |
Singapore : World scientific |
| Type |
Journal article |
| Language |
English |
| Publication date |
2024 |
| CC license |
|
