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Dirichlet and neumann problems for a fractional ordinary differential equation with constant coefficients

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Abstract

For an ordinary differential equation with constant coefficients, we find a general representation of solutions; by using it, we solve the Dirichlet and Neumann problems, obtain conditions for the unique solvability, and construct closed-form representations of solutions.

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Authors and Affiliations

  1. Institute for Applied Mathematics and Automation, Nalchik, Russia

    L. Kh. Gadzova

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  1. L. Kh. Gadzova
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Correspondence to L. Kh. Gadzova.

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Original Russian Text © L.Kh. Gadzova, 2015, published in Differentsial’nye Uravneniya, 2015, Vol. 51, No. 12, pp. 1580–1586.

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Gadzova, L.K. Dirichlet and neumann problems for a fractional ordinary differential equation with constant coefficients. Diff Equat 51, 1556–1562 (2015). https://doi.org/10.1134/S0012266115120022

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  • DOI: https://doi.org/10.1134/S0012266115120022

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