Geodesic
The method of Green's function for one differential equation of a fractional order
Vestnik KRAUNC. Fiziko-matematičeskie nauki, no. 1 (2010), pp. 17-23

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The differential equation of a fractional order $0\beta1$ is considered. Green's function for such equation is constructed and is shown that in a case $\beta = 1$ the found decision passes in earlier known classical decision.
Keywords: Green's function, problem of Koshi, Gerasimov-Kaputo operator. 
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     author = {R. I. Parovik},
     title = {The method of {Green's} function for one differential equation of a fractional order},
     journal = {Vestnik KRAUNC. Fiziko-matemati\v{c}eskie nauki},
     pages = {17--23},
     publisher = {mathdoc},
     number = {1},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VKAM_2010_1_a2/}
}
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R. I. Parovik. The method of Green's function for one differential equation of a fractional order. Vestnik KRAUNC. Fiziko-matematičeskie nauki, no. 1 (2010), pp. 17-23. http://geodesic.mathdoc.fr/item/VKAM_2010_1_a2/