Optimal quadrature formulas for the approximate calculation of the Riemann-Liouville fractional order integral

In this paper, we find the optimal coefficients of quadrature formulas for an approximate solution of an integral equation of the correct fractional order in the sense of Riemann-Liouville, in addition, the square of the norm of the error functional of quadrature formulas in the Sobolev space is cal...

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Bibliographic Details
Main Authors: Shadimetov, Kholmat, Nuraliev, Farhod, Toshboev, Otajon
Format: Conference Proceeding
Language:English
Subjects:
Integral equations
Mathematical analysis
Quadratures
Sobolev space
Online Access:Get full text
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Summary:In this paper, we find the optimal coefficients of quadrature formulas for an approximate solution of an integral equation of the correct fractional order in the sense of Riemann-Liouville, in addition, the square of the norm of the error functional of quadrature formulas in the Sobolev space is calculated.
ISSN:0094-243X
1551-7616
DOI:10.1063/5.0199830