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
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Annotatsiya
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.
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