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.
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
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\by M.~O.~Mamchuev
\paper Mixed Problem for a Loaded System of Equations with Riemann--Liouville Derivatives
\jour Mat. Zametki
\yr 2015
\vol 97
\issue 3
\pages 428--439
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\jour Math. Notes
\yr 2015
\vol 97
\issue 3
\pages 412--422
\crossref{https://doi.org/10.1134/S0001434615030128}
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Linking options:
https://www.mathnet.ru/eng/mzm10310
https://doi.org/10.4213/mzm10310
https://www.mathnet.ru/eng/mzm/v97/i3/p428
This publication is cited in the following 5 articles:
M. O. Mamchuev, “Non-local boundary value problem for a system of fractional partial differential equations of the type i”, AIMS Math., 5:1 (2020), 185–203
M. O. Mamchuev, “Zadacha Koshi dlya sistemy uravnenii s chastnymi proizvodnymi drobnogo poryadka”, Vestnik KRAUNTs. Fiz.-mat. nauki, 2018, no. 3(23), 76–82
M. O. Mamchuev, “Nelokalnaya kraevaya zadacha dlya sistemy uravnenii
s chastnymi proizvodnymi drobnogo poryadka tipa I”, Izvestiya Kabardino-Balkarskogo nauchnogo tsentra RAN, 2018, no. 6-1, 42–47
M. O. Mamchuev, “Kraevaya zadacha dlya lineinoi sistemy uravnenii s chastnymi proizvodnymi drobnogo poryadka”, Chelyab. fiz.-matem. zhurn., 2:3 (2017), 295–311
Mamchuev M.O., “Mixed problem for a system of fractional partial differential equations”, Differ. Equ., 52:1 (2016), 133–138