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.

引用

页数：10

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