Geodesic
Start control problem for a class of degenerate equations with lower order fractional derivatives
Čelâbinskij fiziko-matematičeskij žurnal, Tome 5 (2020) no. 3, pp. 271-284

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

Fractional order degenerate evolution equation with lower fractional derivatives is studied. The case of a relatively bounded pair of operators in the main part of the equation is considered. For linear and semilinear equations the existence of a unique strong solution of the generalized Showalter — Sidorov problem is proved.These results are used for the proof of the solvability of the start control problem in the linear and the semilinera case. The obtained results are applied to study of an optimal control problem for a fractional order in time degenerate distributed system.
Keywords: fractional derivative, degenerate evolution equation, nonlinear differential equation, start control. 
@article{CHFMJ_2020_5_3_a1,
     author = {G. D. Baybulatova},
     title = {Start control problem for a class of degenerate equations with lower order fractional derivatives},
     journal = {\v{C}el\^abinskij fiziko-matemati\v{c}eskij \v{z}urnal},
     pages = {271--284},
     publisher = {mathdoc},
     volume = {5},
     number = {3},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CHFMJ_2020_5_3_a1/}
}
TY  - JOUR
AU  - G. D. Baybulatova
TI  - Start control problem for a class of degenerate equations with lower order fractional derivatives
JO  - Čelâbinskij fiziko-matematičeskij žurnal
PY  - 2020
SP  - 271
EP  - 284
VL  - 5
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/CHFMJ_2020_5_3_a1/
LA  - ru
ID  - CHFMJ_2020_5_3_a1
ER  - 
%0 Journal Article
%A G. D. Baybulatova
%T Start control problem for a class of degenerate equations with lower order fractional derivatives
%J Čelâbinskij fiziko-matematičeskij žurnal
%D 2020
%P 271-284
%V 5
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/CHFMJ_2020_5_3_a1/
%G ru
%F CHFMJ_2020_5_3_a1
G. D. Baybulatova. Start control problem for a class of degenerate equations with lower order fractional derivatives. Čelâbinskij fiziko-matematičeskij žurnal, Tome 5 (2020) no. 3, pp. 271-284. http://geodesic.mathdoc.fr/item/CHFMJ_2020_5_3_a1/