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
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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.
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},
year = {2010},
number = {3},
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 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 %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/