Article

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

Kholmat ShadimetovTashkent State Transport University, Temiryo‘lchilar street, 1, Tashkent, 100167, UzbekistanFarhod NuralievBukhara State University, 11, M.Ikbol str., Bukhara 200114, UzbekistanOtajon ToshboevFerghana State University, Murabbiylar street, 19, Fergana, 150100, Uzbekistan

AIP conference proceedingsjournal2024en

ABI

Abstract

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.

Topics

Fractional Differential Equations Solutions Iterative Methods for Nonlinear Equations Mathematical functions and polynomials

Identifiers

DOI: 10.1063/5.0199830

Citations and references

Cited by 3 21 references

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