|
Proceedings of the Yerevan State University, series Physical and Mathematical Sciences, 2010, Issue 3, Pages 29–34
(Mi uzeru221)
|
|
|
|
This article is cited in 2 scientific papers (total in 2 papers)
Mathematics
On the solutions of some differential equations of fractional order in complex domain
B. A. Sahakyan Chair of Mathematical Analysis YSU, Armenia
Abstract:
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, complex domain.
Received: 18.03.2010 Accepted: 26.04.2010
Citation:
B. A. Sahakyan, “On the solutions of some differential equations of fractional order in complex domain”, Proceedings of the YSU, Physical and Mathematical Sciences, 2010, no. 3, 29–34
Linking options:
https://www.mathnet.ru/eng/uzeru221 https://www.mathnet.ru/eng/uzeru/y2010/i3/p29
|
Statistics & downloads: |
Abstract page: | 73 | Full-text PDF : | 22 | References: | 23 |
|