Email this article The l-Problem of Moments for One-Dimensional Integro-Differential Equations with Erdélyi–Kober Operators
- Authors: Postnov S.S.1
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Affiliations:
- Trapeznikov Institute of Control Sciences, Russian Academy of Sciences
- Issue: Vol 99, No 3 (2019)
- Pages: 317-320
- Section: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/225685
- DOI: https://doi.org/10.1134/S1064562419030219
- ID: 225685
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Abstract
The l-problem of moments for one-dimensional linear equations that contain Erdélyi–Kober differential and integral operators of fractional order is investigated. Conditions are derived that determine the possibility of stating the problem and its solvability. Explicit analytical solutions of the l-problem of moments are obtained in some cases.
About the authors
S. S. Postnov
Trapeznikov Institute of Control Sciences, Russian Academy of Sciences
Author for correspondence.
Email: postnov.sergey@inbox.ru
Russian Federation, Moscow, 117997
