On the solutions of some differential equations of fractional order in complex domain
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 3 (2010), pp. 29-34.

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

The paper studies differential equations of fractional order of the form $D^{1/\rho}y(z)+\lambda y(z)=f(z)$ in the complex domain, where $\rho\geq 1, \ \lambda$ is an arbitrary parameter, $D^{1/\rho}$ is the Riemann–Liouville differential operator. For functions of some classes Cauchy type problems are considered.
Keywords: Riemann–Liouville operators, differential equations of fractional order
Mots-clés : complex domain.
@article{UZERU_2010_3_a2,
     author = {B. A. Sahakyan},
     title = {On the solutions of some differential equations of fractional order in complex domain},
     journal = {Proceedings of the Yerevan State University. Physical and mathematical sciences},
     pages = {29--34},
     publisher = {mathdoc},
     number = {3},
     year = {2010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/UZERU_2010_3_a2/}
}
TY  - JOUR
AU  - B. A. Sahakyan
TI  - On the solutions of some differential equations of fractional order in complex domain
JO  - Proceedings of the Yerevan State University. Physical and mathematical sciences
PY  - 2010
SP  - 29
EP  - 34
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/UZERU_2010_3_a2/
LA  - en
ID  - UZERU_2010_3_a2
ER  - 
%0 Journal Article
%A B. A. Sahakyan
%T On the solutions of some differential equations of fractional order in complex domain
%J Proceedings of the Yerevan State University. Physical and mathematical sciences
%D 2010
%P 29-34
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/UZERU_2010_3_a2/
%G en
%F UZERU_2010_3_a2
B. A. Sahakyan. On the solutions of some differential equations of fractional order in complex domain. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 3 (2010), pp. 29-34. http://geodesic.mathdoc.fr/item/UZERU_2010_3_a2/

[1] M. M. Dzhrbashyan, Integral Transforms and Representations of Functions in the Complex Domain, Nauka, M., 1966 (in Russian) | MR

[2] M.M. Dzrbashyan, “An extension of the Denjoy-Carleman quasianalytic classes”, Izv. AN Arm. SSR. Ser. Mat., 3:34 (1968), 171–248 (in Russian) | MR

[3] Math. USSR-Izv., 9:1 (1975), 63–112 | DOI | MR | Zbl