Geodesic
Steklov problem of the first class for a fractional order delay differential equation
Vestnik KRAUNC. Fiziko-matematičeskie nauki, Tome 37 (2021) no. 4, pp. 30-37

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The solution to the Steklov problem with conditions of the first class for a linear delay differential equation with a Gerasimov-Caputo fractional derivative is obtained by Green function method. The existence and uniqueness theorem to the problem is proved.
Keywords: fractional differential equation, delay differential equation, Green function method, generalized Mittag-Leffler function. 
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     author = {M. G. Mazhgikhova},
     title = {Steklov problem of the first class for a fractional order delay differential equation},
     journal = {Vestnik KRAUNC. Fiziko-matemati\v{c}eskie nauki},
     pages = {30--37},
     publisher = {mathdoc},
     volume = {37},
     number = {4},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VKAM_2021_37_4_a3/}
}
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M. G. Mazhgikhova. Steklov problem of the first class for a fractional order delay differential equation. Vestnik KRAUNC. Fiziko-matematičeskie nauki, Tome 37 (2021) no. 4, pp. 30-37. http://geodesic.mathdoc.fr/item/VKAM_2021_37_4_a3/