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. 
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     author = {B. I. Efendiev},
     title = {The {Cauchy} and {Dirichlet} problems for ordinary differential equation of second order with regularized derivative of segment order},
     journal = {News of the Kabardin-Balkar scientific center of RAS},
     pages = {30--34},
     publisher = {mathdoc},
     number = {2},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IZKAB_2016_2_a5/}
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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/