Geodesic
A priori estimates for solutions of boundary value problems for convection-diffusion fractional-order equation
News of the Kabardin-Balkar scientific center of RAS, no. 6-1 (2017), pp. 60-66.

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In this paper by the method of energy inequalities a priori estimates for the solution of the Dirichlet and Robin boundary value problems for the convection-diffusion equation of fractional order are obtained. From this follows the uniqueness and continuous dependence of the solution of the problems posed on the initial data.
Keywords: Caputo fractional derivative, Riemann-Liouville fractional integral, boundary value problems, a priori estimate.
Mots-clés : fractional convection-diffusion equation 
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E. M. Shogenova. A priori estimates for solutions of boundary value problems for convection-diffusion fractional-order equation. News of the Kabardin-Balkar scientific center of RAS, no. 6-1 (2017), pp. 60-66. http://geodesic.mathdoc.fr/item/IZKAB_2017_6-1_a9/

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