Dirichlet Problem for a Fractional-Order Ordinary Differential Equation with Retarded Argument

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作者
M. G. Mazhgikhova
机构
[1] Institute of Applied Mathematics and Automation,
来源
Differential Equations | 2018年 / 54卷
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摘要
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.
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页码:185 / 192
页数:7
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