A priori estimate of solution of equation with the fractal Laplace operator in the main part
News of the Kabardin-Balkar scientific center of RAS, no. 2 (2016), pp. 21-24

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In this work the author obtained a priori estimate of solution of equation with Riemann-Liouville operator of fractional differentiation, satisfying nonlocal boundary condition, and corresponding in the case of integer values of order of fractional derivatives to equation with the Laplace operator in the main part.
Keywords: nonlocal boundary condition, priori estimate, the Riemann-Liouville operator, ABC method.
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     author = {O. Kh. Masaeva},
     title = {A priori estimate of solution of equation with the fractal {Laplace} operator in the main part},
     journal = {News of the Kabardin-Balkar scientific center of RAS},
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     publisher = {mathdoc},
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O. Kh. Masaeva. A priori estimate of solution of equation with the fractal Laplace operator in the main part. News of the Kabardin-Balkar scientific center of RAS, no. 2 (2016), pp. 21-24. http://geodesic.mathdoc.fr/item/IZKAB_2016_2_a3/