Best Approximations of Solutions of Fractional-integral Equations with the Riemann-Liouville Operator
- Authors: Agachev J.R.1, Galimyanov A.F.1, Gubaidullina R.K.1
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Affiliations:
- Kazan (Volga Region) Federal University
- Issue: Vol 40, No 9 (2019)
- Pages: 1231-1241
- Section: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/205440
- DOI: https://doi.org/10.1134/S1995080219090026
- ID: 205440
Cite item
Abstract
The article is devoted to the best approximations of solutions of integral equations that are defined on the line segment and have a fractional Riemann-Liouville integral in the main part. These approximations are constructed with the “generalized” projection method using the apparatus of algebraic polynomials. At the same time, the Fredholm property of an integral equation operator in a special pair of Hölder spaces of the desired elements and right-hand sides plays an important role.
About the authors
J. R. Agachev
Kazan (Volga Region) Federal University
Author for correspondence.
Email: jagachev@gmail.com
Russian Federation, Kazan, Tatarstan, 420008
A. F. Galimyanov
Kazan (Volga Region) Federal University
Author for correspondence.
Email: anis_59@mail.ru
Russian Federation, Kazan, Tatarstan, 420008
R. K. Gubaidullina
Kazan (Volga Region) Federal University
Author for correspondence.
Email: grenata@mail.ru
Russian Federation, Kazan, Tatarstan, 420008