Precise Conditions on the Unique Solvability of the Linear Fractional Functional Differential Equations Related to the σ-Nonpositive Operators

被引：2
作者：
Dilna, Natalia [1 ]
机构：
[1] Slovak Acad Sci, Inst Math, Stefanikova 49, Bratislava 81473, Slovakia
来源：
FRACTAL AND FRACTIONAL | 2023年 / 7卷 / 10期
关键词：
fractional order functional differential equations; nonpositive operator; unique solvability; Caputo derivative; exact conditions; the pantograph-type model from electrodynamics;
D O I：
10.3390/fractalfract7100720
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Exact conditions for the existence of the unique solution of a boundary value problem for linear fractional functional differential equations related to sigma-nonpositive operators are established. The exact solvability conditions are based on the a priori estimation method. All theoretical investigations are illustrated by an example of the pantograph-type model from electrodynamics.
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页数：10
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