| Title |
On some open problems in spatial fractional integration |
| Authors |
Surgailis, Donatas |
| DOI |
10.3390/fractalfract10020100 |
| Full Text |
|
| Is Part of |
Fractal and fractional.. Basel : MDPI. 2026, vol. 10, iss. 2, art. no. 100, p. [1-10].. eISSN 2504-3110 |
| Keywords [eng] |
fractional operators on fractional sets ; fractional powers of Markov semigroups ; fractionally integrated random fields ; limit theorems ; long-range dependence ; random walk ; spatial fractional differentiation/integration operators ; variable order fractional operators |
| Abstract [eng] |
Some open problems regarding fractional powers of the negative generator of a discrete-time random walk and a Markov process are discussed. The suggested approach combines analytic and probabilistic ideas and may be useful for developing fractional operators with multidimensional and/or abstract discrete arguments. |
| Published |
Basel : MDPI |
| Type |
Journal article |
| Language |
English |
| Publication date |
2026 |
| CC license |
|
