Geodesic
A priori estimates of solutions of nonlocal
News of the Kabardin-Balkar scientific center of RAS, no. 5 (2018), pp. 50-55

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Nonlocal boundary value problems for the third-order equation with a fractional Caputo derivative in time are considered. A priori estimates of the solution of the analogue of the first and second boundary value problems with the integral Samarsky condition for the equation with multiple characteristics are obtained by the method of energy inequalities.
Keywords: a Priori estimate of the boundary-value problems, equations with multiple characteristics, method of energy integral, fractional derivative according to Caputo, the Samarsky conditions. 
@article{IZKAB_2018_5_a6,
     author = {A. M. Shkhagapsoev},
     title = {A priori estimates of solutions of nonlocal},
     journal = {News of the Kabardin-Balkar scientific center of RAS},
     pages = {50--55},
     publisher = {mathdoc},
     number = {5},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IZKAB_2018_5_a6/}
}
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A. M. Shkhagapsoev. A priori estimates of solutions of nonlocal. News of the Kabardin-Balkar scientific center of RAS, no. 5 (2018), pp. 50-55. http://geodesic.mathdoc.fr/item/IZKAB_2018_5_a6/