Geodesic
To the question of solvability of ordinary differential equations of fractional order
Vestnik KRAUNC. Fiziko-matematičeskie nauki, no. 3 (2018), pp. 42-47 Cet article a éte moissonné depuis la source Math-Net.Ru

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We discussed the problem of solvability of initial value problem for one model ordinary differential equation of fractional order. It is shown that the dimension of the kernel depends on the distribution parameters of Dzhrbashyan-Nersesyan operators and also can be trivial
Keywords: ordinary differential equations, Cauchy problem, fractional derivative, Dzhrbashyan-Nersesyan operator. 
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     author = {F.T. Bogatyreva},
     title = {To the question of solvability of ordinary differential equations of fractional order},
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     pages = {42--47},
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F.T. Bogatyreva. To the question of solvability of ordinary differential equations of fractional order. Vestnik KRAUNC. Fiziko-matematičeskie nauki, no. 3 (2018), pp. 42-47. http://geodesic.mathdoc.fr/item/VKAM_2018_3_a4/

[1] Dzhrbashyan M.M., Nersesyan A.B., “Drobnye proizvodnye i zadacha Koshi dlya differencial'nyh uravnenij drobnogo poryadka”, Izv. AN ArmSSR. Matem., 3:1 (1968), 3-28 | MR

[2] Nakhushev A.M., Drobnoe ischislenie i ego primenenie, Fizmatlit, M., 2003, 272 pp.

[3] Dzhrbashyan M.M., Integral'nye preobrazovaniya i predstavleniya funkcij v kompleksnoj oblasti, Nauka, M., 1966, 672 pp.

[4] Pskhu A.V., Uravneniya v chastnyh proizvodnyh drobnogo poryadka, Nauka, M., 2005, 199 pp.