| Title |
A new general fractional-order derivative with Rabotnov fractional-exponential kernel |
| Authors |
Yang, Xiao-Jun ; Ragulskis, Minvydas ; Tana, Thiab |
| DOI |
10.2298/TSCI180825254Y |
| Full Text |
|
| Is Part of |
Thermal science.. Belgrade : Vinča Institute of Nuclear Sciences. 2019, vol. 23, iss. 6B, p. 3711-3718.. ISSN 0354-9836. eISSN 2334-7163 |
| Keywords [eng] |
anomalous diffusion ; general fractional-order derivative ; power law Rabotnov fractional-exponential function ; non-singular kernel |
| Abstract [eng] |
In this article, a general fractional-order derivative of the Riemann-Liouville type with the non-singular kernel involving the Rabotnov fractional-exponential function is addressed for the first time. A new general fractional-order derivative model for the anomalous diffusion is discussed in detail. The general fractional-order derivative operator formula is as a novel and mathematical approach proposed to give the generalized presentation of the physical models in complex phenomena with power law. |
| Published |
Belgrade : Vinča Institute of Nuclear Sciences |
| Type |
Journal article |
| Language |
English |
| Publication date |
2019 |
| CC license |
|
