On Some Open Problems in Spatial Fractional Integration

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.

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Publication Details

Journal
Fractal and Fractional
Published
2026-02-02
DOI
https://doi.org/10.3390/fractalfract10020100
Primary Topic
Fractional Differential Equations Solutions
Type
article
Field-Weighted Citation Impact
0.00
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article

On Some Open Problems in Spatial Fractional Integration

Донатас Сургайлис
Fractal and Fractional
Fractional Differential Equations Solutions
article

On Some Open Problems in Spatial Fractional Integration

Донатас Сургайлис
article en

Abstract

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.

Fractal and FractionalVol. 10(2)
Vilnius University (LT)
Openalex Percentile: Top 70%
Fractional Differential Equations Solutions
DOIOpen Access PDFOpenAlex
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