Geodesic
Non-local problem with fractional derivatives for one hyperbolic equation
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 2 (2007), pp. 33-36.

Voir la notice de l'article provenant de la source Math-Net.Ru

We formulate and research the non-local boundary value problem with fractional integro-differentiation operators for one partial case of the moisture transfer equation. The one-valued solvability of this problem is proved. 
@article{VSGTU_2007_2_a4,
     author = {E. Yu. Arlanova},
     title = {Non-local problem with fractional derivatives for one hyperbolic equation},
     journal = {Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences},
     pages = {33--36},
     publisher = {mathdoc},
     number = {2},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGTU_2007_2_a4/}
}
TY  - JOUR
AU  - E. Yu. Arlanova
TI  - Non-local problem with fractional derivatives for one hyperbolic equation
JO  - Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences
PY  - 2007
SP  - 33
EP  - 36
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VSGTU_2007_2_a4/
LA  - ru
ID  - VSGTU_2007_2_a4
ER  - 
%0 Journal Article
%A E. Yu. Arlanova
%T Non-local problem with fractional derivatives for one hyperbolic equation
%J Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences
%D 2007
%P 33-36
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VSGTU_2007_2_a4/
%G ru
%F VSGTU_2007_2_a4
E. Yu. Arlanova. Non-local problem with fractional derivatives for one hyperbolic equation. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 2 (2007), pp. 33-36. http://geodesic.mathdoc.fr/item/VSGTU_2007_2_a4/

[1] Bitsadze A. V., Nekotorye klassy uravnenii v chastnykh proizvodnykh, Nauka, M., 1981 | MR

[2] Nakhushev A. M., Uravneniya matematicheskoi biologii, Vyssh. shk., M., 1995 | Zbl

[3] A. A. Kilbas, O. A. Repin, M. Saigo, “Nelokalnaya zadacha dlya giperbolicheskogo uravneniya s drobnymi proizvodnymi v kraevom uslovii”, Neklassich. uravneniya mat. fiziki, Novosibirsk, 2002, 88–95 | MR | Zbl

[4] Saigo M., “A certain boundary value problem for the euler-poisson-darboux equation”, Math. Japan, 24:4 (1979), 377–385 | MR | Zbl

[5] Samko S. G., Kilbas A. A., Marichev O. I., Integraly i proizvodnye drobnogo poryadka i nekotorye ikh prilozheniya, Nauka i tekhnika, Mn., 1987 | MR | Zbl

[6] Saigo M., Kilbas A. A., “Generalized fractional untegrals and derivatives in holder spaces”, Transform Methods and Special Functions, Sofia 94, Proc. of Intern. Workshop, Sci. Cult. Publ., Singapore, 1995, 282–293

[7] Srivastava H. M., Saigo M., “Multiplication of fractional calculus operators and boundary value problems involving the euler-darboux equation”, J. Math. Anal. Appl., 121 (1987), 325–369 | DOI | MR | Zbl

[8] Gakhov F. D., Kraevye zadachi, Nauka, M., 1977 | MR

[9] Muskhelishvili N. I., Singulyarnye integralnye uravneniya, Nauka, M., 1968 | MR | Zbl