Geodesic
The Сauchy problem for a regular continuous differential equation of second order with regularized derivatives of segment order
Vestnik KRAUNC. Fiziko-matematičeskie nauki, no. 5 (2016), pp. 72-79

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In this work we build a fundamental solution to a regular continuous differential equation of second order with regularized derivatives of segment order and find an explicit solution to Cauchy problem in terms of fundamental solution.
Keywords: Cauchy problem, the continuous differential equation regularized derivative segment of the order, the fundamental solution. 
@article{VKAM_2016_5_a10,
     author = {B. I. Efendiev},
     title = {The {{\CYRS}auchy} problem for a regular continuous differential equation of second order with regularized derivatives of segment order},
     journal = {Vestnik KRAUNC. Fiziko-matemati\v{c}eskie nauki},
     pages = {72--79},
     publisher = {mathdoc},
     number = {5},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VKAM_2016_5_a10/}
}
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B. I. Efendiev. The Сauchy problem for a regular continuous differential equation of second order with regularized derivatives of segment order. Vestnik KRAUNC. Fiziko-matematičeskie nauki, no. 5 (2016), pp. 72-79. http://geodesic.mathdoc.fr/item/VKAM_2016_5_a10/