Geodesic
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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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/

[1] A. M. Nakhushev, Uravneniya matematicheskoi biologii, Vysshaya shkola, M., 1995, 301 pp.

[2] A. V. Pskhu, Uravneniya v chastnykh proizvodnykh drobnogo poryadka, Nauka, M., 2005, 199 pp.

[3] O. Kh. Masaeva, “Apriornaya otsenka dlya uravneniya s fraktalnym operatorom Laplasa v glavnoi chasti”, Dokl. Adyg. (Cherkes.) Mezhdunar. akademii nauk, 11:1 (2009), 36–37

[4] O. Kh. Masaeva, “Zadacha Dirikhle dlya obobschennogo uravneniya Laplasa s proizvodnoi Kaputo”, Differents. uravneniya, 48:3 (2012), 442–446 | MR | Zbl

[5] O. Kh. Masaeva, “Kraevaya zadacha tipa Neimana dlya uravneniya s fraktalnym operatorom Laplasa v glavnoi chasti”, Dokl. Adyg. (Cherkes.) Mezhdunar. akad. nauk, 15:2 (2013), 54–56

[6] O. Kh. Masaeva, “Printsip ekstremuma dlya fraktalnogo ellipticheskogo uravneniya”, Dokl. Adyg. (Cherkes.) Mezhdunar. akad. nauk, 16:4 (2014), 31–35

[7] O. Kh. Masaeva, “Edinstvennost resheniya zadachi Dirikhle dlya uravneniya s fraktalnym operatorom Laplasa v glavnoi chasti”, Izvestiya KBNTs RAN, 2:6 (68) (2015), 127–130

[8] A. M. Nakhushev, Drobnoe ischislenie i ego primenenie, Fizmatlit, M., 2003, 272 pp.

[9] V. I. Smirnov, Kurs vysshei matematiki, v. II, Fizmatlit, M., 1961, 630 pp. | MR