Geodesic
On Stabilization of Solutions of the Cauchy Problem for Fractional Diffusion-Wave Equation
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the International Conference “Actual Problems of Applied Mathematics and Physics,” Kabardino-Balkaria, Nalchik, May 17–21, 2017, Tome 149 (2018), pp. 84-94.

Voir la notice de l'article provenant de la source Math-Net.Ru

Problems on the asymptotic behavior of solutions to the Cauchy problems for a fractional diffusion-wave equation for large values of time are examined. Sufficient conditions of stabilization in the class of rapidly growing functions and necessary and sufficient conditions of stabilization to zero in the case of asymptotically nonnegative initial functions are found.
Mots-clés : fractional diffusion-wave equation
Keywords: stabilization, Cauchy problem, fractional derivative, Dzhrbashyan–Nersesyan operator. 
@article{INTO_2018_149_a9,
     author = {A. V. Pskhu},
     title = {On {Stabilization} of {Solutions} of the {Cauchy} {Problem} for {Fractional} {Diffusion-Wave} {Equation}},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {84--94},
     publisher = {mathdoc},
     volume = {149},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2018_149_a9/}
}
TY  - JOUR
AU  - A. V. Pskhu
TI  - On Stabilization of Solutions of the Cauchy Problem for Fractional Diffusion-Wave Equation
JO  - Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory
PY  - 2018
SP  - 84
EP  - 94
VL  - 149
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/INTO_2018_149_a9/
LA  - ru
ID  - INTO_2018_149_a9
ER  - 
%0 Journal Article
%A A. V. Pskhu
%T On Stabilization of Solutions of the Cauchy Problem for Fractional Diffusion-Wave Equation
%J Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory
%D 2018
%P 84-94
%V 149
%I mathdoc
%U http://geodesic.mathdoc.fr/item/INTO_2018_149_a9/
%G ru
%F INTO_2018_149_a9
A. V. Pskhu. On Stabilization of Solutions of the Cauchy Problem for Fractional Diffusion-Wave Equation. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the International Conference “Actual Problems of Applied Mathematics and Physics,” Kabardino-Balkaria, Nalchik, May 17–21, 2017, Tome 149 (2018), pp. 84-94. http://geodesic.mathdoc.fr/item/INTO_2018_149_a9/