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Mixed problem for a loaded system of equations with Riemann-Liouville derivatives

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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.

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Authors and Affiliations

  1. Research Institute of Applied Mathematics and Automation, Kabardino-Balkar Research Center, Russian Academy of Sciences, Nalchik, Kabardino-Balkar Republic, Russia

    M. O. Mamchuev

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  1. M. O. Mamchuev
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Correspondence to M. O. Mamchuev.

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Mamchuev, M.O. Mixed problem for a loaded system of equations with Riemann-Liouville derivatives. Math Notes 97, 412–422 (2015). https://doi.org/10.1134/S0001434615030128

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  • DOI: https://doi.org/10.1134/S0001434615030128

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