Email this article Dirichlet Problem for a Fractional-Order Ordinary Differential Equation with Retarded Argument
- Authors: Mazhgikhova M.G.1
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Affiliations:
- Institute of Applied Mathematics and Automation
- Issue: Vol 54, No 2 (2018)
- Pages: 185-192
- Section: Ordinary Differential Equations
- URL: https://journal-vniispk.ru/0012-2661/article/view/154687
- DOI: https://doi.org/10.1134/S0012266118020052
- ID: 154687
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Abstract
A solution of the Dirichlet problem for a fractional-order ordinary differential equation has been found. Green’s function has been constructed for the problem concerned. The problem solution has been written in terms of Green’s function. A theorem on the existence and uniqueness of a solution of the posed problem has been proved, and a condition for its unique solvability has been derived. It is shown that the condition of solvability may only be violated a finite number of times.
About the authors
M. G. Mazhgikhova
Institute of Applied Mathematics and Automation
Author for correspondence.
Email: mazhgihova.madina@yandex.ru
Russian Federation, Nalchik, Kabardino-Balkariya, 360000
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