Geodesic
A priori estimates of solutions of boundary value
News of the Kabardin-Balkar scientific center of RAS, no. 6 (2016), pp. 96-101

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Boundary value problems for third-order equation of parabolic type with Caputo fractional derivative are considered. A priori estimates of the solution of the analogue of the first, second and nonlocal boundary value problems for equations 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. 
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     author = {A. M. Shkhagapsoev},
     title = {A priori estimates of solutions of boundary value},
     journal = {News of the Kabardin-Balkar scientific center of RAS},
     pages = {96--101},
     publisher = {mathdoc},
     number = {6},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IZKAB_2016_6_a14/}
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A. M. Shkhagapsoev. A priori estimates of solutions of boundary value. News of the Kabardin-Balkar scientific center of RAS, no. 6 (2016), pp. 96-101. http://geodesic.mathdoc.fr/item/IZKAB_2016_6_a14/