Geodesic
Dirchlet problem for a nonlocal wave equation with Riemann--Liouville derivative
Vestnik KRAUNC. Fiziko-matematičeskie nauki, Tome 27 (2019) no. 2, pp. 6-11

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The existence and uniqueness of the solution to Dirichlet problem for a second-order equation with a fractional derivative is proved. The equation under study is a wave equation for a integer value of the order of the fractional derivative.
Keywords: Dirichlet problem, Riemann–Liouville fractional derivative, Caputo fractional derivative, wave equation. 
@article{VKAM_2019_27_2_a0,
     author = {O. Kh. Masaeva},
     title = {Dirchlet problem for a nonlocal wave equation with {Riemann--Liouville} derivative},
     journal = {Vestnik KRAUNC. Fiziko-matemati\v{c}eskie nauki},
     pages = {6--11},
     publisher = {mathdoc},
     volume = {27},
     number = {2},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VKAM_2019_27_2_a0/}
}
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O. Kh. Masaeva. Dirchlet problem for a nonlocal wave equation with Riemann--Liouville derivative. Vestnik KRAUNC. Fiziko-matematičeskie nauki, Tome 27 (2019) no. 2, pp. 6-11. http://geodesic.mathdoc.fr/item/VKAM_2019_27_2_a0/