Exact Solvability Conditions for the Non-Local Initial Value Problem for Systems of Linear Fractional Functional Differential Equations

被引：4
作者：
Dilna, Natalia [1 ]
Feckan, Michal [1 ,2 ]
机构：
[1] Slovak Acad Sci, Inst Math, Stefanikova 49, Bratislava 81473, Slovakia
[2] Comenius Univ, Dept Math Anal & Numer Math, Bratislava 84248, Slovakia
来源：
MATHEMATICS | 2022年 / 10卷 / 10期
关键词：
fractional order functional differential equations; unique solvability; Caputo derivative; initial value problem; quasi-interior element; minihedral cone; pantograph-type model; MODEL;
D O I：
10.3390/math10101759
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The exact conditions sufficient for the unique solvability of the initial value problem for a system of linear fractional functional differential equations determined by isotone operators are established. In a sense, the conditions obtained are optimal. The method of the test elements intended for the estimation of the spectral radius of a linear operator is used. The unique solution is presented by the Neumann's series. All theoretical investigations are shown in the examples. A pantograph-type model from electrodynamics is studied.
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页数：15
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