Geodesic
Neumann problem for ordinary differential equation of fractional order with delay argument
News of the Kabardin-Balkar scientific center of RAS, no. 2 (2016), pp. 15-20

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The solution of the Neumann problem for differential equation of fractional order with delay argument has been studied. Green's function of this is constructed. The theorem of existence and uniqueness of solution of the problem is proved. A condition for unique solvability has been found.
Keywords: Neumann problem, differential equation of fractional order, differential equation with delay, the Green's function. 
@article{IZKAB_2016_2_a2,
     author = {M. G. Mazhgikhova},
     title = {Neumann problem for ordinary differential equation of fractional order with delay argument},
     journal = {News of the Kabardin-Balkar scientific center of RAS},
     pages = {15--20},
     publisher = {mathdoc},
     number = {2},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IZKAB_2016_2_a2/}
}
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M. G. Mazhgikhova. Neumann problem for ordinary differential equation of fractional order with delay argument. News of the Kabardin-Balkar scientific center of RAS, no. 2 (2016), pp. 15-20. http://geodesic.mathdoc.fr/item/IZKAB_2016_2_a2/