|
This article is cited in 5 scientific papers (total in 5 papers)
Mixed Problem for a Loaded System of Equations with Riemann–Liouville Derivatives
M. O. Mamchuev Scientific Research Institute of Applied Mathematics and Automation, Kabardino-Balkar Scientific Centre of the Russian Academy of Sciences, Nalchik
Abstract:
A system of two Riemann–Liouville partial differential equations
with constant coefficients is studied.
The existence and uniqueness theorem
for the solution of the mixed problem is proved
and its Green function is constructed.
Keywords:
Riemann–Liouville partial differential equation, Green matrix function,
fractional differentiation operator, Wright-type function,
system of fractional differential equations.
Received: 19.04.2013 Revised: 20.05.2014
Citation:
M. O. Mamchuev, “Mixed Problem for a Loaded System of Equations with Riemann–Liouville Derivatives”, Mat. Zametki, 97:3 (2015), 428–439; Math. Notes, 97:3 (2015), 412–422
Linking options:
https://www.mathnet.ru/eng/mzm10310https://doi.org/10.4213/mzm10310 https://www.mathnet.ru/eng/mzm/v97/i3/p428
|
Statistics & downloads: |
Abstract page: | 366 | Full-text PDF : | 146 | References: | 102 | First page: | 58 |
|