Geodesic
The Cauchy and Dirichlet problems for ordinary differential equation of second order with regularized derivative of segment order
News of the Kabardin-Balkar scientific center of RAS, no. 2 (2016), pp. 30-34

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For an ordinary differential equation of second order with regularized derivative of segment order we build a fundamental solution, that is used to provide explicit solution for the Cauchy and Dirichlet problems.
Keywords: regularized derivative of segment order, regularized fractional derivative, Cauchy problem, Dirichlet problem. 
B. I. Efendiev. The Cauchy and Dirichlet problems for ordinary differential equation of second order with regularized derivative of segment order. News of the Kabardin-Balkar scientific center of RAS, no. 2 (2016), pp. 30-34. http://geodesic.mathdoc.fr/item/IZKAB_2016_2_a5/
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