Geodesic
A priori estimation of a generalized nonlocal boundary value problem for a thrid order equation with a fractional time Сaputo derivative
Vestnik KRAUNC. Fiziko-matematičeskie nauki, Tome 29 (2019) no. 4, pp. 35-40

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A boundary value problem for a third-order parabolic equation with a fractional Caputo derivative is considered. A priori estimation of the solution of a generalized nonlocal boundary value problem for an equation with multiple characteristics with a fractional Caputo derivative in time is obtained by the method of energy inequalities.
Mots-clés : a priori estimation
Keywords: nonlocal boundary value problem, equation with multiple characteristics, method of energy integrals, Caputo fractional derivative. 
@article{VKAM_2019_29_4_a3,
     author = {A. M. Shkhagapsoev},
     title = {A priori estimation of a generalized nonlocal boundary value problem for a thrid order equation with a fractional time {{\CYRS}aputo} derivative},
     journal = {Vestnik KRAUNC. Fiziko-matemati\v{c}eskie nauki},
     pages = {35--40},
     publisher = {mathdoc},
     volume = {29},
     number = {4},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VKAM_2019_29_4_a3/}
}
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A. M. Shkhagapsoev. A priori estimation of a generalized nonlocal boundary value problem for a thrid order equation with a fractional time Сaputo derivative. Vestnik KRAUNC. Fiziko-matematičeskie nauki, Tome 29 (2019) no. 4, pp. 35-40. http://geodesic.mathdoc.fr/item/VKAM_2019_29_4_a3/