Numerical method of Solution Initial problems for Second Order Differential Equations with Riemann--Liouville fractional derivates
N. S. Yashagin1
| Annotation | The numerical integration formulas for some integral operators with Abel kernel are obtained. The prior estimate for this formulas are presented. The iteration procedure for solving initial problem for second order differential equations with Riemann--Liouville fractional derivates are developed. Convergence are proved for this iteration procedure. |
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| Keywords | differential equations with Riemann--Liouville fractional derivates, Volterra integral equation of the Second Kind, method of quadratures. |
1Postgraduate Student of chair <
Citation: N. S. Yashagin, "[Numerical method of Solution Initial problems for Second Order Differential Equations with Riemann--Liouville fractional derivates]", Zhurnal Srednevolzhskogo matematicheskogo obshchestva,13:3 (2011) 122–134 (In Russian)
