Geodesic
Green function of the first boundary-value problem for the fractional diffusion wave equation in a multidimensional rectangular domain
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the IV International Scientific Conference "Actual Problems of Applied Mathematics". Kabardino-Balkar Republic, Nalchik, Elbrus Region, May 22–26, 2018. Part III, Tome 167 (2019), pp. 52-61

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In this paper, the Green functions of the first boundary-value problem for the fractional diffusion wave equation in multidimensional (bounded and unbounded) hyper-rectangular domains are constructed.
Mots-clés : diffusion wave equation
Keywords: Green function, fractional derivative, Dzhrbashyan–Nersesyan operator, boundary-value problem, Tikhonov condition. 
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     author = {A. V. Pskhu},
     title = {Green function of the first boundary-value problem for the fractional diffusion wave equation in a multidimensional rectangular domain},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {52--61},
     publisher = {mathdoc},
     volume = {167},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2019_167_a6/}
}
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A. V. Pskhu. Green function of the first boundary-value problem for the fractional diffusion wave equation in a multidimensional rectangular domain. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the IV International Scientific Conference "Actual Problems of Applied Mathematics". Kabardino-Balkar Republic, Nalchik, Elbrus Region, May 22–26, 2018. Part III, Tome 167 (2019), pp. 52-61. http://geodesic.mathdoc.fr/item/INTO_2019_167_a6/