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Matematicheskie Zametki, 2015, Volume 97, Issue 3, Pages 428–439
DOI: https://doi.org/10.4213/mzm10310
(Mi mzm10310)
 

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
Full-text PDF (457 kB) Citations (5)
References:
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
English version:
Mathematical Notes, 2015, Volume 97, Issue 3, Pages 412–422
DOI: https://doi.org/10.1134/S0001434615030128
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: Russian
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
Citation in format AMSBIB
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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:
    1. 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  crossref  mathscinet  isi  scopus
    2. M. O. Mamchuev, “Zadacha Koshi dlya sistemy uravnenii s chastnymi proizvodnymi drobnogo poryadka”, Vestnik KRAUNTs. Fiz.-mat. nauki, 2018, no. 3(23), 76–82  mathnet  crossref  elib
    3. 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  mathnet  elib
    4. M. O. Mamchuev, “Kraevaya zadacha dlya lineinoi sistemy uravnenii s chastnymi proizvodnymi drobnogo poryadka”, Chelyab. fiz.-matem. zhurn., 2:3 (2017), 295–311  mathnet  mathscinet  elib
    5. Mamchuev M.O., “Mixed problem for a system of fractional partial differential equations”, Differ. Equ., 52:1 (2016), 133–138  crossref  mathscinet  zmath  isi  elib  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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