Geodesic
Initial and boundary value problems for ordinary differential equation of fractional order with delay
Čelâbinskij fiziko-matematičeskij žurnal, Tome 3 (2018) no. 1, pp. 27-37

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We obtained the initial and boundary value problems for linear ordinary differential equation of fractional order with delay. The theorems of solution existence and uniqueness are proved for the investigated problems. The solution of the boundary value problem is written out in terms of the Green's function.
Keywords: differential equation of fractional order, differential equation with delay, Green's function. 
@article{CHFMJ_2018_3_1_a1,
     author = {M. G. Mazhgikhova},
     title = {Initial and boundary value problems for ordinary differential equation of fractional order with delay},
     journal = {\v{C}el\^abinskij fiziko-matemati\v{c}eskij \v{z}urnal},
     pages = {27--37},
     publisher = {mathdoc},
     volume = {3},
     number = {1},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CHFMJ_2018_3_1_a1/}
}
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M. G. Mazhgikhova. Initial and boundary value problems for ordinary differential equation of fractional order with delay. Čelâbinskij fiziko-matematičeskij žurnal, Tome 3 (2018) no. 1, pp. 27-37. http://geodesic.mathdoc.fr/item/CHFMJ_2018_3_1_a1/